Monday, August 2, 2021

The Ramjet I Worked On The Most

Update 23 March 2024:  For the readers of this and other similar articles about ramjet propulsion,  be aware that GW’s ramjet book is finally available as a self-published item.  Its title is “A Practical Guide to Ramjet Propulsion”.  Right now,  contact GW at gwj5886@gmail.com to buy your copy. 

He will,  upon receipt of payment by surface mail or Western Union (or similar),  manually email the book to you as pdf files.  This will take place as 9 emails,  each with 3 files attached,  for a total of 27 files (1 for the up-front stuff,  1 each for 22 chapters,  and 1 each for 4 appendices).  The base price is $100,  to which $6.25 of Texas sales tax must be added,  for an invoice total of $106.25. 

This procedure will get replaced with a secure automated web site,  that can take credit cards,  and automatically send the book as files.  However,  that option is not yet available.  Watch this space for the announcement when it is.  

GW is working on a second edition.  No projections yet for when that will become available.

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Update 10-1-21:  The choked variable-area throttle valve technology used for the ramjet AMRAAM is documented in “Use of the Choked Pintle Valve for a Solid Propellant Gas Generator Throttle”,  dated 10-1-21,  and published on this same site.

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The ramjet I worked on the most was a solid-propellant gas generator-fed ramjet intended to upgrade the AIM-120 AMRAAM.  AMRAAM is a long-range radar-guided air-to-air missile propelled by a solid rocket motor.  It is 7 inches outside diameter,  12 feet long,  and a bit over 300 pounds at launch.  Typical co-altitude head-on engagements (at middle altitudes) have AMRAAM launch at about 20 nmi range,  and go autonomous at 10 or 12 nmi range-to-target.  The ramjet upgrade allowed that launch range to increase past 60 nmi.  The notation “nmi” means “nautical mile”,  where 1 nautical mile is 6076.1 feet,  same as 1852.0 meters.  See Figure 1.  

Figure 1 – The Ramjet Upgrade Concept for AMRAAM

The ramjet propulsion upgrade for AMRAAM was run out of what was then known as the Aero Propulsion Laboratory at WPAFB,  in Dayton Ohio,  as a series of “6.2” applied R&D programs to determine what was feasible and what was not. These eventually led to a “6.3” program to demonstrate readiness for flight test evaluation.  You can think of “6.2” as being applied research and development (R&D),  and “6.3” as a more sharply-focused sort of engineering development. 

Several contractors variously competed and teamed for these programs:  Rocketdyne/Hercules (the one I worked at,  now closed),  CSD (Chemical Systems Division) at UTC (United Technologies Corporation),  ARC (Atlantic Research Corporation,  now part of Northrup Grumman),  the Marquardt Company (TMC, now closed),  LTV Aerospace (LTV),  and Hughes Aircraft Corporation (HAC).  Of these,  Marquardt had a long history of developing and producing ramjet engines,  all of them liquid-fueled.  CSD was also a liquid ramjet source.  Rocketdyne/Hercules,  ARC,  and CSD were all well-known solid propellant contractors.  HAC and LTV were airframe “primes”.  

Genesis of Ramjet AMRAAM 

This ramjet AMRAAM effort (and some others) were sparked by the appearance of the Soviet solid gas generator-fed ramjet surface-to-air missile known in the west as the SA-6 “Gainful”.  This missile used (1) gas generator-fed ramjet propulsion,  (2) a solid propellant rocket integral booster housed within the ramjet combustion chamber,  (3) a means to obturate the air inlets during boost,  and (4) an ejectable booster nozzle to get best performance out of both the booster rocket and the ramjet sustainer,  which otherwise have vastly-incompatible nozzle geometries. 

The SA-6 first appeared in public,  in the 1967 May Day parade in Red Square.  At the time,  the CIA did not recognize it as an airbreather,  classing it as a rocket vehicle with some exaggerated fairings.  Those fairings turned out to be supersonic air inlets for the ramjet sustainer engine.  This was not understood until the 1973 Mideast war,  when it knocked down Israeli Phantoms at 2 to 3 times the range expected for a rocket missile that size.  This was a bit of a technological “Pearl Harbor” for the West.  I worked as lead mechanical engineer in two contracts that exploited this foreign technology under the project name “Group Work”.  This is described in Ref. 1.

The understanding of the SA-6 as a ramjet sparked USAF interest in a ramjet propulsion upgrade for the AMRAAM,  USAF interest in a high-altitude/high-speed ramjet cruise missile denoted as ASALM (“Advanced Strategic Air-Launched Missile”),  USN interest in a ramjet strike missile denoted as ALVRJ (“Air-Launched Low-Volume Ramjet”),  and some others that came later.  There were also many requests for information from several missile primes about possible ramjet propulsion applications. 

My work on ASALM is described in Ref. 2.  ALVRJ rolled out at LTV in the summer of 1974,  when I was a summer hire there,  working on the “Scout” satellite launcher,  while still in graduate engineering school. ALVRJ was a CSD liquid ramjet with an integral booster pushing an LTV airframe and front end.  At that time,  I already had an M.S. degree in Aerospace Engineering,  specializing in high-speed aerodynamics (and aerothermodynamics),  and was starting work toward a Ph.D. degree.  I had passed the written qualifiers with flying colors in all topic areas,  but ran into a roadblock on my oral qualifiers in late 1975.  I ran out of patience and money,  and decided to go to work in industry.  (I got my Ph.D. in General Engineering much later in life.)

How I Got Started In Ramjet Work

I was originally hired at Rocketdyne/Hercules to be an understudy structural engineer,  based on my high performance on the written structural qualifying exam.  I had studied under Ron Stearman for that particular exam;  he was the nephew of the man who designed the famous Stearman biplane,  and the head structures guy in my academic department.  I got started at Rocketdyne/Hercules as a structural engineer on the ASALM-related work that we had to do,  as related in Ref. 2,  among other things. 

It was not long before the program managers at Rocketdyne/Hercules became aware of my background in aerodynamics,  aerothermodynamics,  and general propulsion.  At that point I got “co-opted” to work on a project they had,  toward something termed “ducted rocket”,  which had air inlets.  The “ducted rocket” is really a solid-propellant gas generator-fed ramjet.  Initially,  these were IR&D (“Independent Research and Development”) projects undertaken for later reimbursement by the government. 

Rocketdyne/Hercules had a big IR&D effort aimed at the USAF 6.2 programs for the AMRAAM propulsion upgrade. That is how I met W. H. “Bill” Miller,  who became not only my boss on various IR&D and contract efforts,  but also my good friend.  Same for Sam McClendon,  who was Bill’s preferred project engineer.  Both were University of Texas at Austin graduates,  as I was.

Initially,  there were only a few USAF requirements for a ramjet upgrade to AMRAAM.  It had to stay 7 inch OD (outside diameter) and 12 feet long,  and it could not exceed about 355 pounds at launch.  Otherwise,  the sorts of technologies that could be applied were “wide open”.  That changed later:  toward reduced smoke technologies,  and rocket-ramjet transition technologies that eliminated all ejecta.  This was peculiar to USAF;  USN had no such qualms about smoke or ejecta. 

We at Rocketdyne/Hercules had gotten started (just before I came aboard) with a “cooperative IR&D” effort in concert with Marquardt,  supplying them gas generators to test in their ramjet direct-connect facility,  while we built one of our own.  If you are not worried about characterizing inlets,  that direct-connect mode of testing is the very best,  most cost-effective,  way to test ramjets on the ground.  You can test for the effects of both fuel species and “geometry” upon ramjet performance,  with great fidelity,  in direct-connect mode.  The term “geometry” includes flameholding geometry,  fuel injection geometry,  and overall engine geometry.  That covers a great deal of ground,  as Ref. 3 indicates. 

I was involved in this initial effort in two ways:  (1) running what are called “cycle codes” to predict ramjet performance,  and (2) participating integrally in the shakedown of our direct-connect facility at Rocketdyne/Hercules.  Bill Miller made the initial decisions about what we built,  and he made the right ones,  in my best estimation.   He chose to use a blowdown air supply,  and simple pebble-bed air heat. 

These choices were to reduce costs by eliminating the need for computer-controlled anything,  but they also turned out to offer a very significant advantage from a technical standpoint,  particularly when testing highly-metallized fuels:  we fed real air to the engine,  when the vitiated systems do not.  If the fuel is metallized,  those metals can see the vitiation combustion products (water and carbon dioxide) as additional oxygen content in the “air”,  which leads to erroneous and misleading performance data.

Initially,  we came at this AMRAAM ramjet design with high-magnesium fuel propellants,  same as was in SA-6,  except that ours were castable (the propellant in the SA-6 was pressed).  We were trying to team with LTV as prime and CSD as the ramjet engine maker,  with ourselves in the role of gas generator supplier.  We had some very good magnesium propellants,  which include LPM-212 as an HTPB-binder/AP-oxidizer blend,  and LPM-269,   which used a unique silicone rubber binder,  plus some AP oxidizer,  and about 60% magnesium powder. 

In subsequent years,  I used that same silicone-magnesium propellant as a very reliable and safe-to-handle combustor igniter material.  It also deposited a magnesium-silicate slag on the test hardware’s ablative liner,  that greatly extended its useful life to dozens of tests.

These propellants were roughly 20% AP and 60% magnesium,  with around 3% of carbon black and yellow iron oxide.  These were “smoky” because of the magnesium oxide particulates,  plus some other particulates,  but not nearly as smoky as a “standard” aluminized solid rocket propellant,  because of the air dilution effect of the airflow through the engine!  This not-so-smoky effect had already been seen in the videos taken of the SA-6 in flight during the ’73 war.

Regardless,  the USAF decided they wanted reduced smoke,  and awarded the fixed-flow DR-PTV program to “the other guys” (ARC),  so we began to look further at HTPB-bound,  AP-oxidized fuel-rich solid propellants.  That moved us toward HAC as the prime,  and Marquardt as the ramjet engine contractor,  with Rocketdyne/Hercules as the gas generator supplier.  The LTV AMRAAM upgrade design featured two inlets about 180 degrees apart,  while the HAC design featured inlets only 90 degrees apart.  The inlet performance characteristics are similar,  but definitely not the same.

I don’t know from whom LTV got their inlet recovery data;  HAC got theirs from Marquardt,  as the “AM 149-A-3” inlet design.  The importance of inlet performance and how it dominates ramjet performance is described in Refs. 4 and 5.  Our high-magnesium formulations were designated as LPM-“formulation number”,  while our low-to-zero-magnesium formulations were designated by LPH-“formulation number”.  LPM stood for “Lab Propellant Magnesium”,  while LPH stood for “Lab Propellant Hydrocarbon”.  There was often a suffix number representing the mix number of the same formulation,  initially.  Formulation numbers were 3-digit,  starting at 101.

As it turns out,  the inlet entry symmetry vs asymmetry has a very big effect on what is feasible,  and what is not,  as detailed in Ref. 3,  although we did not really know this at the time that decision by USAF to go reduced-smoke was made.  We learned it in testing later.  Almost anything in the way of engine geometry works with high-magnesium propellant effluent,  while very little works well,  with low-to-zero magnesium in the formulation.  This is quite unlike the case with liquid fuels. 

That flameholding issue got complicated by the issue of ramjet combustor ignition,  which often occurred from gas generator igniter debris,  shed still-burning into the combustor in some designs,  but not others!  And it was further complicated by the presence or absence of dedicated combustor ignition devices,  whether pyrophoric liquid injection systems (at Marquardt) or pyrotechnic devices (at Rocketdyne/Hercules).  All of that took a while to sort out,  in experimental tests. 

Early Hydrocarbon Test Details

The first tests with hydrocarbon fuels were done in the Marquardt hardware,  which featured two side inlets 90 degrees apart,  entering at 45 degrees off axial.  Marquardt had a nozzle contraction ratio A5/A4 of 0.67 initially,  and 0.57 later in their tests.  Their inlet/combustor area ratio A2/A4 was 0.56,  similar only in magnitude to the forward dome stepback ratio x/d4 of 0.57.   Combustor length/diameter ratio L/d4 was 6.7.  I no longer remember their combustor inside diameter d4,  but it might have been in the 5 to 6 inch range.  See Figure 2.  

Figure 2 – The Test Geometries for the Early “Hydrocarbon” Fuel Database

Being a liquid fuel ramjet house,  they started with an inlet injection port in each of the two inlets,  where liquids are almost invariably injected.  They also tested a vertical twin direct dome injection geometry,  a horizontal centered twin,  and then the same dual adjacent and dual opposite injection geometries that Rocketdyne/Hercules pioneered (based on flow visualization experiments).

Rocketdyne/Hercules started with a 4 side inlet rig,  entering at 30 degrees off axial,  same as the SA-6.  Inlet/combustor area ratio was similar to that at Marquardt,  at 0.58,  and the forward dome stepback ratio was either 0.12 or 0.55,  set by the presence or absence of a spacer ring between the gas generator and combustor hardware.  The 0.55 value was similar to that used at Marquardt.

The nozzle contraction ratio was smaller,  at 0.37 to 0.44,  depending mostly upon the ablated inside diameter of the test combustor,  which was used for several tests before being replaced.  The as-made inside diameter d4 was 4.6 inches,  with 0.7 inch thick silica phenolic as the ablative insulation. 

Combustor length to diameter could be varied quite strongly in the Rocketdyne/Hercules hardware,  but was almost invariably near 7.6 during the cooperative IR&D tests,  and 6.6 later.  The injection was a single center port with the 4-inlet rig.  It was quite successful with high-magnesium propellants,  but a bit less so with hydrocarbon propellants unless the nozzle were stopped-down,  and the gas generator effluent made rather hot. 

This rig was replaced with a two-side-inlet rig after the cooperative IR&D effort,  made from generalized 3-inlet hardware,  entering at 45 degrees off axial.  There were actually 3 inlet arms,  of which only two were hooked up,  the other being blanked off.  Thus,  either two inlets 180 degrees apart,  or two inlets 90 degrees apart,  could be tested. 

As a two-inlet rig,  inlet/combustor area ratio was similar to that at Marquardt,  at 0.56,  and the most common length/diameter ratio was 6.6.  Stepback ratio x/d4 was either 0.52 or 0.12,  again with or without the spacer ring.  Most tests were conducted with 2 inlets 90 degrees apart.

This is the rig in which single center port injection,  the Marquardt vertical twin,  the dual opposite,  dual centered,  and the dual adjacent injection geometries could be tested,  with 2 inlets 90 degrees apart,  entering at 45 degrees.  Tests with 2 inlets 180 degrees apart entering at 45 degrees,  with a single center injector,  did not fare well with hydrocarbon fuels (those tests are not shown here).  The raw dataset for these tests is given in Table 1.  Conclusions reached are given in Table 2.


Table 1 – Early “Hydrocarbon” Fuel Database


Table 2 – Conclusions Reached from Early “Hydrocarbon” Testing


This generalized rig was then replaced by a closer subscale replication of the inlet divergent passages actually to be used for AMRAAM,  in which the best twin injection (dual adjacent) proved to be about equal to the 5-port injector used on DR-PTV.  The 5-port was really easy to modify (generating a patent for me) for integration with a throttle valve,  and so that combination became baseline for the original VFDR program proposal. 

What we at Rocketdyne/Hercules learned from all these tests,  plus subsequent full-scale tests in our expanded facility,  eventually became the genesis for the side entry flameholding knowledge given in Ref. 3. To this I brought some numerically-substantiated flow visualization results,  plus some perfectly-stirred reactor modeling efforts.  All of that is discussed in that reference.

The propellant formulations tested in the early subscale tests (cooperative IR&D with Marquardt plus the Rocketdyne/Hercules IR&D leading up to the VFDR proposal) were all variations within the same basic formulation family.   These were all AP-oxidized,  with HTPB binders.  Hydrocarbon resin particulates replaced some of the binder in most (but not all) of these formulations.  Any metal-bearing additives replaced some of the hydrocarbon resin content.

The gas generators tested during the early cooperative IR&D effort also featured added hot-gas propellant grains to enhance generator and combustor ignition characteristics.  These were sometimes tube grains inside the nozzle housing,  and sometimes overcast materials added to a trimmed and restricted fuel propellant grain.  They acted to increase effluent temperature during a short ignition transient.  Getting ignition in the combustor depended on this transiently-high effluent temperature,  a high inlet air temperature,  and a near-stoichiometric equivalence ratio,  in that order of importance.

The Rocketdyne/Hercules Test Facility in McGregor,  Texas Grew Over Time

The term “cycle analysis” is a reference to the standard thermodynamics cycle models in those textbooks:  things such as Brayton Cycle,  Otto Cycle,  Carnot Cycle,  and others.  For ramjets,  the math model that gets the “right” answers is one composed of a series of empirical and theoretical component models strung together,  and analyzed with standard compressible flow analysis (which presumes ideal gas behavior).  This is discussed extensively in Ref. 5.

The “typical pressure ratio” models in some textbooks provide good answers for gas turbine machines,  but will generate unrealistic answers for ramjet!  That is because (1) gas turbine performance is dominated by the compressor pressure rise and turbine pressure drop values that are entirely missing in ramjet,  and (2) the only pressure-rise item in a ramjet is inlet recovery,  which equals the sum of all the pressure loss factors,  and all of these are very strongly dependent upon the flow state entering each of them.  “Typical averages” is just the wrong concept for ramjet work! 

Given appropriate inlet performance data and a properly-sized engine geometry,  one can predict for any given flight condition,  the ingested airflow and provided fuel flow values,  along with the total temperature of that ingested air.  Those three are enough to run a very realistic direct connect test,  simply by providing those values of air temperature and flow rate,  and that fuel flow rate.  As long as the inlet is well-known,  all the other variables can be optimized:  the combustor and fuel injection geometries,  the choice of fuel,  and other real-world engineering “details” like heat protection.  Direct-connect testing done this way is far more cost-effective than semi-freejet testing or full freejet testing.

I got started doing the “cycle analyses” to set up tests (and predict system performance) with a series of computer codes supplied by my friends Ken Watson and John Leingang,  at the Aero Propulsion Lab at WPAFB.  Ken wrote these.  They were:

Code                     purpose

AB                         point performance of high speed ramjets

ABTRAJ                trajectory with AB as a propulsion subroutine

RJ                          point performance (improved) with sizing included (high speed)

RJTRAJ                 trajectory (improved) with RJ as a propulsion subroutine

ZTRAJ                   a variant of RJTRAJ set up for running on desktop PC’s

I have since (in recent years) written my own codes for sizing and point performance,  tailored for running on desktop PC’s.  These were written in an antiquated language that I was familiar and conversant with,  that being QuickBASIC 4.5.  I covered both the high speed range that Watson covered (flight speeds never under about Mach 1.6,  up to about Mach 6 max),  and the low speed range (subsonic to about Mach 2 max at most).  These are:

Code                     purpose

RJLOSZ                 low speed range sizing

RJLOPF                 low speed range point performance

RJHISZ                  high speed range sizing

RJHIPF                  high speed range point performance

These codes (whether mine or Watson’s) all have to balance the ingestable air flow into the engine versus what combusted flow will fit through the nozzle,  at the combustor pressure the inlet can deliver.  The adjustment is either by spilling air massflow at the inlet entrance,  or by a deeper shock position,  and stronger shock loss,  in the divergent inlet diffuser passage.  But not both,  and you cannot change that path from one case to the other,  once started. 

That balancing act does not obtain in a direct-connect test analysis!  The flow rates are what they are,  and the combustor pressure (and its nozzle thrust) is simply the result.  Their realism depends upon how good a job you did,  analyzing flight system performance at the flight condition your test simulates.  There is no iterative balance.  Otherwise,  pretty much the same components and compressible flow analyses get used for the combustor,  nozzle,  and divergent inlet passage(s).

Getting good,  reliable performance out of a direct-connect test on the ground,  must address and overcome 3,  maybe 4,  major pitfalls.  Plus a whole host of minor problems. 

The first is transient air system performance:  because of volume storage effects,  what is delivered at the inlets can be significantly different from what is metered upstream. 

The second is thrust stand tare forces:  these have to be experimentally calibrated.  There is no such thing as a tare pressure,  so always believe your pressure-based performance,  and then believe the thrust-based performance,  only if it agrees with your pressure-based performance!   

The third is your theoretical thermochemical values,  which are the benchmark against which you measure the performances you achieve out of your test.  The “gold standard” here is the NASA ODE (One Dimensional Equilibrium) code,  run at the fuel/air ratio and inlet total temperature (and combustor static pressure level) of your test. 

Use the properties predicted by the code;  do NOT use a so-called “process specific heat ratio” for your test analysis!  Doing so is essentially assuming the answer you wish to find!  (I did come up with an easy-to-use convenient approximation that is within about 1% of NASA ODE in terms of combusted c* velocity.  My cycle codes use that approximation.)

The fourth depends upon which kind of fuel you are using:  a liquid,  versus the effluent from a fuel-rich solid-propellant gas generator.  The flow of liquid fuel through any given test rig can be calibrated (with water for safety!) with a stopwatch and bucket.  The flow rate can be corrected from water to your fuel,  with your fuel’s specific gravity. 

The gas generator effluent case requires that a full ballistic analysis be done of the solid propellant device firing.  It must be done to a very high accuracy standard (fraction of a percent),  which requires converging not only the surface-vs-web history and expelled mass,  but also the delivered generator c* history,  and the “real” delivered burn rate curve.  This CANNOT be done real-time during the test,  totally unlike liquid fuel flow rate!  See Ref. 6 for very real-world information about how that works. 

The Rocketdyne/Hercules direct-connect test facility started out small,  and grew over time.  At the time this early hydrocarbon fuel database was created,  it was still quite small:  5 lbm/sec max airflow at 750 F max air total temperature.  This limited us to rather subscale hardware.  We started out with 40 welding gas bottles of air,  as our blowdown air supply,  but soon went to 100 bottles,  as shown in Figure 3,  to get more tests out of a set of bottles. 

The early subscale combustor hardware was based on 6-inch schedule-40 pipe,  with welded flanged connections.  It was insulated with 0.7-inch thick silica phenolic sleeves,  which put the as-built combustor inside diameter d4 = 4.60 inches.  This easily mated-up with both 4-inch and 6-inch lab motor hardware,  as both were made to the same 6-inch welded flanged pipe connections.  A spacer ring,  between the gas generator and the combustor inlet section,  allowed us to easily vary the stepback “x” of the forward dome from the inlet entry station. 

We could vary the ramjet nozzle throat sizes used in the nozzle section.  Eventually,  these became graphite inserts.  Altitude testing was required if the nozzle would unchoke at test conditions.  This was accomplished with a supersonic diffuser pipe to slow the exit plume subsonic,  then a steam ejector pump to raise that subsonic stream’s pressure back to ambient.  There was a rolling diaphragm seal to prevent inducing extra airflow around the exterior of the nozzle housing.  Open-nozzle testing was much preferred,  by far.  

Figure 3 – Initial Subscale Direct-Connect Test Facility at Rocketdyne/Hercules

For the Rocketdyne/Hercules IR&D tests that took place after the cooperative IR&D effort,  but before the original VFDR proposal,  this facility grew substantially,  although in a very cost-effective way.   That growth happened in stages,  before,  during,  and after the original VFDR program.  That growth is shown in Figure 4.  

Figure 4 – Expanded Facility at Rocketdyne/Hercules

The first change was adding a second air line as a cold-air bypass line,  with upgraded regulators and larger metering venturis available.  This took us from a single line at 5 pps max,  to two lines,  each capable of 10 pps max.  The delivered air temperature was rather limited,  as the mass-mixing average of ambient and 750 F max.  That made full-scale testing in AMRAAM-size flight-like hardware possible,  to help win the original VFDR program,  during my first tenure.

The second change was adding a 1200 F pebble bed heater to what was the cold bypass line.  This gave us 950 F capability with both lines flowing full at max heater settings.  This was also accomplished during my first tenure at Rocketdyne/Hercules.

The third change was adding a commercial air tanker truck capability to replace the 100-bottle air supply.  The capacity of the tanker truck was far beyond what could be stored in 100 bottles.  That became the new “standard” for operating this facility,  during my second tenure at Rocketdyne/Hercules.  This supported the intermediate programs,  plus the second VFDR program.

Not shown is the change to automated data recovery.  During my first tenure,  data were recovered analog on magnetic tape,  and played back through oscillographs to create a paper record.  Reduction to engineering units was entirely a manual process.  Only the performance analysis of engineering units data was done with a computer,  as card batch input to a mainframe.  During my second tenure,  this was replaced by digital data capture and processing to engineering units with a desktop-type computer.  The performance analysis was done in that same type of computer,  with a desktop-compatible version of the same analysis code. 

These changes were enough to allow full-scale testing in AMRAAM-size flight-like hardware across a significant portion of its expected flight envelope.  Such was used on the original VFDR program.  And on simultaneous and subsequent contract programs,  including the second VFDR program.  We had flight-like hardware for the gas generator,  the throttle interstage,  the ramjet combustor,  and the inlet divergent passages (complete with choke blocks). 

For the airbreathing IR&D effort during my second tenure,  I had an adapter made that coupled a 6-inch lab motor to the flight-like 7-inch ramjet combustor.  This could be configured either as a choked center injector,  or as an unchoked port on center.  The latter proved to be a very practical,  safe,  and convenient way to test experimental propellants very rapidly!  Using a 6-inch lab motor as the gas generator,  with an internal-burning grain design,  was a really good way to test at full flow rate,  just in a short-burn ramjet test.

The initial subscale capability used two parallel,  vertically-oriented downcomers from the off-stand air manifold pipe to the inlet spider plumbing assembly located on the thrust stand.  These downcomers were short,  straight bellows tubes.  Their tare forces were not small,  but could be calibrated versus thrust level,  pressurization level,  and air temperature. 

The final air feed rig used two horizontally-opposed bellows,  from the off-stand air manifold,  to the air spider on the stand that fed the inlets.  Tare forces were smaller,  but still significant.  They calibrated exactly the same way in terms of thrust level,  pressure,  and temperature,  just with different numbers.  With this rig,  it was routine to see the same performance calculated from calibrated thrust,  as was calculated from pressure.  That routine agreement had never before been had.

I worked at Rocketdyne/Hercules in two tenures:  December 1975-December 1983,  and April 1987-November 1994.  These were separated by a tenure working at what was then Tracor Aerospace in Austin,  Texas.   My second tenure at Rocketdyne/Hercules started in program management,  but I soon returned to engineering.  In a de-facto sense,  I managed all the plant IR&D for the plant chief engineer.  That was budgeted at $1-2 million annually,  funding some 10-20 investigators each year.

My first tenure began under Rocketdyne,  but the plant was purchased by Hercules Aerospace in 1978.  Everything after that was under Hercules ownership.  The reason I left in 1983 was because Hercules insisted on limiting raises to 2-3%,  during years when the inflation rate peaked at 18%!  That amounted to an effective 15-16% salary cut each year!  Tracor hired me for a substantial increase,  and provided substantial raises each year that I worked there.  I returned for my second tenure at Rocketdyne/Hercules at almost twice the salary I had when I left.

During my second tenure at Hercules,  I was the principal investigator for airbreathing IR&D at $300-500 thousand per year.  That effort provided better propellants to VFDR program,  plus a better unchoked generator test technique.  Plus,  I supported substantially the final nozzleless booster design and corresponding propellant development.  And I did a lot of other smaller items.

USAF Programs Oriented Toward Ramjet AMRAAM                                                     

The sequence of programs related to the ramjet upgrade for AMRAAM is illustrated in Figure 5.  I have tried to indicate how the Rocketdyne/Hercules Airbreathing IR&D efforts aided this.  The list of programs is not comprehensive,  because I was not privy to what the other guys did,  especially their IR&D efforts (which I made no attempt to show).  I’m not even sure I got all the Rocketdyne/Hercules programs.  However,  the sense of this is clear.  

Figure 5 – Programs Related to the Ramjet Upgrade for AMRAAM

The IR&D effort under the date 1976 is the cooperative effort with Marquardt.  The IR&D efforts at Rocketdyne/Hercules after we lost DR-PTV to ARC,  to prepare to propose the original VFDR,  are also shown.  These two are the source of the data in Tables 1 and 2.  We did the “Ballistic Improvement and Dual Grain contracts during this interval.  Ballistic Improvement actually led to the original VFDR,  being where we matured the magnesium-bearing versions of our VFDR fuel.  That same IR&D also matured the CA-5-bearing propellants,  and added the SAEB (strand-augmented end-burner ) technology. 

The “other guys” (ARC) I think also had an original VFDR contract to work on their wire-pulling throttle while we were working the variable throat area throttle on IR&D and our VFDR contract.  The wire-pulling throttle proved unreliable (frequently blowing up),  while our variable-area throat throttle proved to be quite reliable.  That is why our VFDR program led to future contracts,  and theirs did not.  

ARC won contract efforts to investigate the unchoked gas generator “throttle” flown by France as “Rustique”,  and (I think) a contract to investigate ways and means not-to-eject port covers.  The port cover work fed directly into the “6.3” VFDR program.  Meanwhile,  we had contracts to investigate boost-sustain grain designs in the gas generator (SFDR,  for Split Flow Ducted Rocket),  and a nozzleless booster contract based on our IR&D work that identified and matured a grain design and candidate propellants.  The nozzleless contract produced the baseline booster for the 6.3 VFDR contract.

We did not get funded by the government for the unchoked-generator “throttle”.  However,  I investigated this on airbreathing IR&D,  and found it quite useful as a very safe way to screen experimental fuel propellants very rapidly.  This work produced an unclassified paper at a classified session,  right after ARC reported the progress on their contract.  We had a real engineering ballistic design analysis based on fundamentals,  and actual test data in full-scale AMRAAM hardware,  for 10 times less money than the value of ARC’s contract.  In contrast,  they had only an approximate analysis,  and never got their subscale test hardware to achieve ramjet ignition.  Our paper created quite a stir.

So,  ARC came into the 6.3 VFDR program with some non-ejectable port cover experience,  and their boron fuel propellant (Arcadene-428) that looked really attractive on paper.  Rocketdyne/Hercules came into that 6.3 VFDR contract with a well-developed nozzleless booster,  a throttle valve and control that was well-verified,  a baseline end-burning grain design and fuel propellant (LPH-453),  plus a second SAEB grain design and higher-energy fuel propellant (LPH-563A).  Plus,  from Airbreathing IR&D,  we also brought two boron fuels and one nonmetallized “clean fuel” that met NATO min smoke requirements.

USAF demanded that we form a joint venture with ARC,  or they would not award the contract (because they wanted the ARC fuel propellant that looked so attractive on paper).  During the 6.3 VFDR program,  there was a “shoot-off” of the various fuel candidates,  observed on-site by USAF,  and scrupulously held under the same conditions in our facility.  The results clearly showed that every Rocketdyne/Hercules fuel propellant provide just about the same high level of actually-delivered performance,  with the ARC Arcadene 428 boron fuel falling significantly short of that same level of delivered performance.  This was at a rather modest altitude. 

About that same time,  Hercules corporate made the decision to close the McGregor plant.  The actual closure happened under ATK ownership,  but the effect was the same:  the other Hercules tactical plant did not want the airbreathing technology or program,  so ARC “inherited” everything via the joint venture.  Once they were in sole control,  the “selected fuel” for VFDR became their underperforming Arcadene-428,  which then promptly failed in direct-connect tests to ignite at middle and high altitudes. 

The reason for that failure was its low “combustibility index”,  a phenomenon that is well-discussed in Ref. 3. None of the Rocketdyne/Hercules fuels had a combustibility index that low,  and so they could all be expected to ignite with air at middle and high altitudes,  and also at the colder air temperatures.  The one with the greatest high-altitude/cold air risk was LPH-563A,  although we had some successful high-altitude test experience with it.  Its combustibility index was twice that of Arcadene-428.

And that proven-persistent high-altitude ignition failure ultimately killed the program to provide a ramjet upgrade for AMRAAM!  The ramjet,  using the underperforming fuel,  was simply not ready for flight test!  After two decades effort and several funded programs,  the USAF decided they had no more money to spend on it.

Where the Technology Finally Went                                                   

ARC-as-inheritor looked at putting the VFDR system into an engine of HARM size about year 2005,  and about that same time sold the VFDR without the nozzleless booster to USN for their “Coyote” gunnery target drone.  Photos of it in flight show a dark plume of unburned fuel (excess effluent soot),  much as would be expected from low combustibility index,  even at very low (sea-skimming) altitude.  The technology has gone nowhere since,  in the US. 

The Europeans fielded a very close equivalent to ramjet AMRAAM that they named “Meteor”,  also about 2005 or thereabouts.  Visually,  it looks very much like the ramjet AMRAAM we were pursuing.  It also used a variable-area throat throttle on its fuel-rich solid-propellant gas generator. 

------------------------

Update:  From AIAA’s “Daily Launch” email newsletter for 1-20-2022:

Spanish Typhoons Now Equipped With MBDA Meteor

Aviation Week (1/19) reports Spain is now the third Typhoon partner nation “to induct MBDA’s Meteor beyond-visual-range air-to-air missile into front-line use.”

 -----------------------

The post-Soviet Russians had flown in operational flight test a ramjet variant of their AA-12 “Adder” air-to-air missile,  but they chose not to produce it,  because we chose not to fly our ramjet AMRAAM.  Given the recent operational status of “Meteor”,  they now have a motive to produce the ramjet “Adder”,  but the factory that designed it,  Vympel,  is no more.    

Some Typical Test Photos                                                        

I do not have any photos from the early days of those particular tests,  nor do I have photos from the 6.3 VFDR “shoot-off”.  But I do have some good color photos from the airbreathing IR&D efforts that brought multiple additional fuels to that “shootoff”.  These tests were run with airflows corresponding to full speeds at modest altitudes,  in the hybridized hardware that used a 6-inch lab motor as a short-burn gas generator,  for a full scale AMRAAM combustor and inlets.  (This would be at the correct A5/A4 = 0.65 per the full scale design,  by the way.)

The first one of these,  in Figure 6,  shows the nonmetallized “clean fuel” at lean conditions.  This was the fuel rich propellant that used pelletized nitrocellulose instead of magnesium,  or any other metal or metal-bearing combustion aid.  This material unofficially meets the NATO min smoke criteria,  despite using some AP oxidizer.  It can do this because of the air dilution effect. 

It delivered the same performance as all the other fuel candidates in terms of thrust and specific impulse.  It also has a high combustibility index,  indicating reliable ramjet ignition,  even at high altitude,  or with colder air.  This particular hybridized hardware used a sonic (choked) gas generator.

The second one of these,  in Figure 7,  used a version of one of the two baseline VFDR fuels,  this one being the 37% AP formulation with 5% aluminum-bearing CA-5 combustion aid,  for the plain end-burning grain design.  This was the baseline LPH-453 fuel in the original VFDR contract,  tested here at lean conditions. 

It delivered the same performance as all the other fuels in the “shoot-off”.  It also has a high combustibility index,  and a demonstrated history of reliable ramjet ignition at high altitude and in colder air.  This one is being tested with an unchoked gas generator,  using an internal-burning lab grain.

Figure 8 is from a test of one of the two 2.5% boron fuels we developed on IR&D,  in an attempt to raise theoretical heating value without sacrificing much combustibility.  This one also meets the same basic performance levels as the rest in the “shoot-off”,  fired here at lean conditions. 

The boron is encapsulated in an ethyl cellulose binder with some fluorinated graphite,  an analog to the aluminum-fluorinated graphite CA-5 combustion aid.  This test is an unchoked-generator form with an internal-burning lab grain.  It has an acceptable combustibility index.

The very best boron formulation,  with both high heating value and high combustibility,  is the 24.5% metal formulation shown at lean conditions in Figure 9.  In this one,  the boron is added as a blend of boron and titanium powders.  During combustion in the gas generator,  these metals alloy in a very exothermic manner,  replacing substantial oxidizer content without sacrificing chamber temperature or effluent composition (combustibility index).  This test is also an unchoked gas generator with an internal-burning lab grain.

We did make and test a propellant pursuant to an Army initiative,  that used no AP at all,  lots of carbon black (25%),  and a liquid explosive glycidyl azide (GAP) polymer as the binder (75%).  It turned out to have a very low combustibility index,  and performed dismally at lean conditions,  as shown in Fig. 10,  although its theoretical density heating value was quite competitive.  It barely burned at all in the ramjet.  This shows as a very dim tailpipe flame and a lot of unburned soot in the plume.

I have no ground test photo of Arcadene-428 from the shoot-off,  nor could I obtain and test it on airbreathing IR&D.  But it also calculates as a very low combustibility index with a very high theoretical heating value.  In the shoot-off at a rather modest altitude and hot air,  it underperformed significantly,  relative to all the other fuels.  And in the later ground tests during the 6.3 VFDR contract,  it failed to ignite in the ramjet at higher altitudes.  Some pertinent comparison data are given in Table 3 for all the fuel propellants discussed here,  plus the other SAEB baseline fuel,  LPH-563A,  which has 8% aluminum,  and a lower combustibility index.  It performed well at modest altitude,  but underperformed somewhat a high altitude,  yet it did not fail to ignite.    

As fuel combustibility index falls,  first you see performance degradation at higher altitudes,  and with colder air (example LPH-563A at CI = 0.28).  Then you see performance degradation at low altitudes along with failure to ignite in the ramjet at high altitudes (example Arcadene-428 at CI = 0.14).  Low enough,  it won’t burn at all,  even at the most favorable low altitude and hot air conditions (example the GAP-carbon fuel).  This behavior was experimentally confirmed on my airbreathing IR&D effort.

The low-combustibility Arcadene-428 material is the fuel that ARC used in the VFDR system that it sold to the USN for the “Coyote” gunnery target drone. Perhaps the appearance of that drone in flight,  with a smoky black plume and dim tailpipe flame,  should be quite unsurprising!  Especially since these generator effluents do not perform as well in a symmetric inlet geometry (as discussed in Ref. 3).  That appearance is shown in Fig. 11.  Judge for yourself!

                              

 Table 3 – Fuel Propellant Comparison Data at Modest Altitude and Hot Air

References (all authored by G. W. Johnson and located on this site)

#1. 4 Feb 2020,  “One of Several Ramjets That I Worked On” [SA-6 evaluation]

#2. 1 July 2021,  “Another Ramjet That I Worked On”  [ASALM work]

#3.  3 March 2020,  “Ramjet Flameholding” [geometry and conditions,  for liquids and gas generator]

#4. 9 Nov 2020,  “Fundamentals of Inlets” [application to ramjet and to gas turbine]

#5. 21 Dec 2012,  “Ramjet Cycle Analyses” [compressible flow models]

#6. 16 February 2020,  “Solid Rocket Analysis” [internal ballistics with real-world effects]

Figure 6 – AP-HTPB-PAMS-NC “Clean Fuel”,  Lean,  Very Good Combustibility


Figure 7 – AP-HTPB-PAMS-CA-5 (2% Aluminum) Baseline Fuel,  Lean,  CI = 0.71


Figure 8 – AP-HTPB-PAMS-BCFx (2.5% Boron) Fuel,  Lean,  CI = 0.76


Figure 9 – AP-HTPB-PAMS-BTi (24.5% metal) Fuel,  Lean,  CI = 0.48


Figure 10 – GAP-C Fuel Propellant,  Very Lean,  Very Low Combustibility (~0.1?)


Figure 11 --  The “Coyote” Gunnery Target Drone At Mach 2 to 2.5, CI = 0.14


Thursday, July 1, 2021

Another Ramjet That I Worked On

Update 23 March 2024:  For the readers of this and other similar articles about ramjet propulsion,  be aware that GW’s ramjet book is finally available as a self-published item.  Its title is “A Practical Guide to Ramjet Propulsion”.  Right now,  contact GW at gwj5886@gmail.com to buy your copy. 

He will,  upon receipt of payment by surface mail or Western Union (or similar),  manually email the book to you as pdf files.  This will take place as 9 emails,  each with 3 files attached,  for a total of 27 files (1 for the up-front stuff,  1 each for 22 chapters,  and 1 each for 4 appendices).  The base price is $100,  to which $6.25 of Texas sales tax must be added,  for an invoice total of $106.25. 

This procedure will get replaced with a secure automated web site,  that can take credit cards,  and automatically send the book as files.  However,  that option is not yet available.  Watch this space for the announcement when it is.  

GW is working on a second edition.  No projections yet for when that will become available.

--------------

This adds to the discussion in Ref. 1 about ramjets on which I have worked.  The topic here is "ASALM-PTV".  The topic in Ref. 1 was the Russian surface-to-air missile known to NATO as the SA-6 "Gainful".  I had the experience of doing the foreign technology exploitation work on the SA-6's fuel and ramjet engine.  ASALM was a US effort that I worked on.

ASALM is an acronym for Advanced Strategic Air-Launched Missile,  and the PTV stood for "Propulsion Technology Validation".  This ASALM-PTV was a propulsion verification test article for a supersonic strategic cruise missile to be known as ASALM.  That weaponized-design cruise missile ASALM was intended to carry the same 1000-lb conventional or variable-yield nuclear warheads as the Tomahawk cruise missile,  just 5 times faster and some 16 miles up instead of 200 feet,  making it essentially invulnerable to all known defenses. 

The ASALM-PTV test vehicle was somewhat heavier in construction,  and designed for shorter endurance and range,  but otherwise demonstrated all the key features of the ASALM weapon design.  These were the chin inlet,  the short S-duct turn,  the coaxial sudden-dump combustor,  the integral booster and transition scheme,  the fuel injection aerogrid device,  the fuel control,  and the internal heat protection and booster propellant bonding scheme.  See Figure 1. 


Figure 1 -- Comparing ASALM-PTV to ASALM And Its SLAT Derivative


ASALM-PTV flew 7 times in flight tests at Eglin AFB in the 1979-1980 time frame.  The first test experienced a throttle runaway incident,  and so it unintentionally set a hypersonic speed record for vehicles powered by airbreathing propulsion,  and furthermore it did that at low altitude!  That speed record stood for nearly a quarter century,  until NASA broke it with its X-43A scramjet test article in 2004,  at very high altitude with a brief 3-second airbreathing burn,  rocket-boosted all the way to test speed at Mach 7. 

ASALM-PTV accidentally reached about Mach 6 in that runaway ramjet burn,  starting from a Mach 2.5 ramjet takeover at end of rocket boost,  after a 20,000 foot launch for that first test.  The original intent for the first test was for the vehicle to fly a racetrack pattern,  at 20,000 feet and a sedate Mach 2.5,  to fuel exhaustion,  using simple timed turns,  in order to check out the ramjet systems.  Because of the throttle runaway problem,  it left the range and reached fuel exhaustion at hypersonic speed,  before the first timed turn could occur. 

We found it 3-4 days later,  stuck like a big steel dart,  in a farmer's field,  about 10 miles outside the airbase.  The final telemetry from the vehicle just before we lost it,  translated as "I am at Mach 6 and still accelerating as my skin begins to melt.  I just ran out of fuel.  Goodbye."  Well,  at least the other ramjet systems besides the throttle control worked just fine,  obviously.  So we counted that one as "half-successful".   

The other 6 ASALM-PTV flight tests were letter-perfect,  including the design cruise missile mission:  subsonic air launch,  supersonic climb to cruise altitude (80,000 feet),  high supersonic cruise (Mach 4) for a long range,  and high-supersonic dive (terminal about Mach 5) onto its target.  With the first one "half-successful",  that made us 6.5 for 7.  Not too bad!

Unlike what most internet sources say,  the program was really cancelled because of SALT-II treaty limitations on allowable numbers of strategic cruise missiles,  with the already-fielded Tomahawk entering full mass production.  See Figures 2 and 3 for what the ASALM-PTV test vehicle actually looked like.  It was 20 inches outside diameter and 14 feet long overall.  And it was 2500 pounds at launch. 


Figure 2 -- ASALM-PTV Flight Test Article Underwing On an A-7D


Figure 3 -- ASALM-PTV Dropped From A-7D,  Igniting Booster Well Away

 

I like to consider the images in the two figures to be a sort of "family portrait".  I worked on the ASALM-PTV vehicles,  while my father was the chief designer of the A-7 Corsair-II aircraft.  

 The vehicle prime contractor (to USAF) was Martin Orlando (from the Martin plant in Orlando,  FL,  that is now closed).  That included the inlet and duct as part of the vehicle.  The subcontractor for the ramjet engine,  fuel system,  and inlet duct port cover was The Marquardt Company of Los Angeles,  CA,  also now closed.  The subcontractor for the integral booster and ejectable booster nozzle was Hercules-McGregor (formerly Rocketdyne-McGregor) of McGregor,  TX,  now closed,  under the final ownership name ATK in its last months. 

I worked for Rocketdyne/Hercules-McGregor for many years,  including early-on,  when ASALM-PTV was underway.   I had roles on the main contract assisting with booster internal ballistics,  and assisting with the heat protection for the ejectable nozzle,  and helping to investigate a possible variable-geometry option for the ramjet nozzle (on an accompanying small R&D contract),  plus running point performance and trajectory simulations on IR&D.

While the ASALM cruise missile was never built,  it was redesigned a bit and entered service for the US Navy as the SLAT gunnery target drone.  It provided a sea-skimming Mach 2.5 target,  as did the Vandal (converted from the shipboard surface-to-air ramjet Talos) before it.  The Navy never really liked either one,  because they had nothing that could shoot them down.  They still don't.

Purpose

What I hope to do in this article is add some detail,  and correct some misinformation in the published stuff on the internet.  While much of this stuff was originally classified Secret and Confidential,  the 12-year downgrade periods have long since passed,  and everything I discuss here has been on the internet in one form or another for some time now.  This article should be safe to publish,  as the program and flight tests ended some 31 years ago,  as of this writing.

ASALM-PTV was a flying example of an "integral rocket-ramjet" (IRR) or "integral booster" ramjet.  The first such flying example was the Russian SA-6 "Gainful" as it was referred to by NATO (which I was able to help exploit,  the main topic of Ref. 1).  The first such US examples were ASALM for USAF and ALVRJ (Advanced Low-Volume Ramjet) for USN.  It is safe to say that the use of the then-new IRR technology in the two American programs was inspired by its success in the Russian weapon.  IRR became the basis of the series of designs pursued as a propulsion upgrade for AMRAAM,  too.

In this IRR technology,  the rocket booster propellant is packaged within the ramjet combustion chamber,  with the inlet or inlets blocked off,  and a smaller-throat,  larger-expansion rocket nozzle added.  The booster rocket nozzle and inlet blockages are ejected at the transition from rocket to ramjet.  ASALM-PTV demonstrated that transition to be quite rapid at only about 100 milliseconds in duration,  from rocket thrust to ramjet thrust. 

A variation on this IRR technology is the "nozzleless booster",  which deletes the ejectable booster nozzle at the expense of a booster performance loss,  but still has to transition the inlet blockage devices.  With flameholding fuels like the liquid fuels and the "hydrocarbon" gas generator solids,  there is also a required combustor fuel-air igniter,  regardless whether eject-nozzle or nozzleless.  Discussions regarding flameholding are part of Ref. 1,  and the main topic of Ref. 2.

An illustration of IRR technology is included with a representation of the ASALM cruise missile in Figure 4.  This shows an inboard profile image at start of booster burn,  at end of booster burn (when the propellant is mostly gone),  at transition with the gear being ejected,  and during the ramjet burn (with open inlet and a wide-open ramjet nozzle).  Bear in mind that some of the details of the transition gear are not accurately depicted.  That is quite common among the published stuff I found on the internet.


Figure 4 -- Integral Rocket-Ramjet Technology

 

Combustor Insulation and Propellant Bonding Technologies

The ASALM-PTV combustor was made of a thin-wall heat-treatable high-alloy stainless steel,  with a separate forward dome and an integral forward attach skirt,  terminating aft in a configured ramjet nozzle shell.  There was a large inlet port centered in the forward dome.  The insulation was a fiber- and particle-loaded silicone rubber from Dow Corning known as DC 93-104,  installed after the ramjet nozzle parts were installed.  Marquardt brought the knowledge of this insulation material to the team.  It was previously not among the insulation solutions common to solid rocket work. 

DC 93-104 is a thick,  thixotropic liquid that is pressure-cast into the case (or troweled-in and packed by hand) around a hard mandrel that is withdrawn after the cure.  Rocketdyne/Hercules was the only solid rocket manufacturer adept in pressure-casting such thixotropic materials,  which is a crucial expertise that we brought to the team.  There is also a Japanese equivalent material called Type 0 Shin Etsu,  which I tested on company IR&D some years later.  It performs very nearly as well as the Dow Corning material,  which is still the very best known material for the ramjet insulation application,  but whose export is forbidden by ITAR (International Trade in Arms Regulations) restrictions.

What made ASALM-PTV unique was the need to positively retain the entire insulation char layer,  for burns far longer than the time to char-through the silicone.  Marquardt and Rocketdyne/Hercules working together came up with an elegant engineering solution:  a series of axially-oriented kinked-ribbon stainless steel strips,  spot-welded to the inside of the case.  See Figure 5.  

The insulation was cast around these kinked ribbons,  so that they were firmly embedded within the insulation,  and thus within the char,  once the insulation charred through.  Without them,  the bond between the insulation and the case wall fails once the insulation is charred through,  and the char departs from the wall in chunks and pieces,  leaving the steel bare.  Enough ribbons spaced closely enough will hold the entire char layer in place despite the loss of the bond.  Being embedded down inside the char,  the ribbon does not get too hot and melt.  You cannot do this job with a fabric "pre-preg" material,  you can only do it with a castable material that will flow around the kinked ribbons.

Rocketdyne/Hercules had to find some way to bond a hydrocarbon polymer-based composite propellant to this silicone rubber binder.  Chemically,  the two materials are utterly incompatible!  Each poisons the other,  and in a fairly short time!  The solution was to use an inert Teflon-type material as an isolator between the two types of rubber. 

Thin Teflon sheet (essentially a commercial form of Saran Wrap),  but appropriately acid-etched on both sides,  could be bladdered-in and bonded to the cured DC-93-104 insulation,  using the correct primer from Dow Corning.  "Bladdering" is using an inflatable mandrel,  so as to apply pressure to the bond.  You wrap the deflated bladder with the material,  and then pressure-it-out against the surrounding insulated case;  something already a common practice with most rocket motor insulations.

Then the surface of the isolator sheet facing the booster propellant could be primed for that binder system polymer,  and thus support a properly case-bonded propellant charge,  with a long and reliable shelf life and very good bond strength.  My friends and colleagues at Rocketdyne/Hercules,  Bill Hill,  Marshall Mabry,  and Scottie Scott,  came up with that combination of materials,  and the detailed processing that made it work.  All of this plus the kinked-ribbon char retention allowed thinner ramjet insulations to be used,  despite the very long burn times.  This design became the standard in all ramjet efforts at Rocketdyne/Hercules after that.  See again Figure 5. 

The ramjet nozzle had a shell with the convergent-divergent shape built in simple conical forms.  Inside this shell,  the nozzle was built up from machined silica-phenolic piece-parts bonded in place.  This all-silica-phenolic nozzle construction was a new technology,  unique then to ASALM-PTV.  Prior ramjet nozzles had graphite throat inserts,  much like solid rockets.  But in the ramjet environment at far lower ramjet chamber pressures,  the graphite throat complication is actually unnecessary.  Marquardt and Rocketdyne/Hercules developed this technology together and demonstrated it.  It was then applied to all other subsequent ramjet efforts at both companies. See also Figure 6. 


Figure 5 -- Case Insulation,  Propellant Bond,  and Booster Construction Technologies


Ejectable Booster Nozzle Technologies

The ejectable booster nozzle had an aluminum outer shell for the flow passage,  plus a conical skirt that held it in place against a snap ring protruding from the inside surface of the ramjet nozzle,  near its exit lip.  The nozzle inside this shell was built up from silica-phenolic pieces bonded in place inside the shell.  Being a rocket nozzle,  there were graphite throat insert pieces included in this nozzle buildup.  Lightly bonded into its exit cone just downstream of the throat was a silica-phenolic weatherseal closure,  that also held the igniter for the booster propellant charge.  All told,  this booster nozzle assembly weighed about 15 pounds.  See Figure 6. 

About the last 3/4 inch of the ramjet nozzle exit cone was bare steel shell partly machined to the exit profile,  not a silica-phenolic insert.  A snap ring groove was machined into it,  in which was placed a detonation cord charge underneath the installed snap ring.  At rocket to ramjet transition,  the detonation cord was initiated,  and its explosion compressed the snap ring inward,  clear of its groove.  This was done as the booster pressure decayed to about 200 psia.  The residual booster pressure pushed this ejectable nozzle assembly aft,  out of the ramjet nozzle,  to which it had sealed with an O-ring in the ramjet throat. The event was over before pressure had decayed under 150 psia.  See again Figure 6.

The flow out of the slot in the booster propellant grain had a tendency to erode that part of the booster nozzle entrance lip that was directly in line with the slot.  This was resolved by increasing the entrance lip size just enough to prevent the erosion damage from getting near the throat.  This was carefully done with thermal/structural analysis,  and verified in experimental test.  I participated in both of these efforts.

The critical difficulty with this design became apparent early in the ground tests of the booster and nozzle ejection,  and this difficulty was successfully resolved before any ground tests of the ramjet were ever conducted!  The explosion of the detonation cord had to be very,  very uniform around the circumference of the snap ring groove,  or else the snap ring would fail to be compressed clear of the groove at the weakest point of the cord explosion.  Only detonation cord meeting the very highest quality control specifications proved to be suitable for this application.  Should the snap ring fail to clear the groove,  the booster nozzle would fail to eject,  and the transition to ramjet operation would therefore fail.  But with highest-quality detonation cord,  this difficulty went away,  never to be seen again.

There was another difficulty encountered,  when the transition to ramjet was first tested in the Martin Orlando "Conflow" facility,  as a direct-connect test complete with a booster.  If the test article was strapped down too tightly to the test stand,  the case,  including the nozzle shell,  would get slightly ovalized by the tie-down forces.  An ovalized ramjet nozzle would cause the ejectable booster nozzle to become jammed in the ramjet throat,  thus failing to eject. 

Several ground test failures in the "Conflow" facility occurred due to this problem,  which Martin Orlando wanted to blame on the snap ring design.  However,  no snap rings were ever found jammed in the snap ring groove after these failures,  which finally forced them to look at the ovalization risk,  as presented by Rocketdyne/Hercules.  When the tie-down was revised to prevent any possibility of ovalizing the nozzle shell,  this problem went away,  permanently.  I assisted that structural evaluation which identified the ovalization risk,  as well.


Figure 6 -- Ejectable Nozzle Design

 

Inlet Port Cover Technology

Marquardt developed the frangible glass port cover used in ASALM-PTV.  It was cast from frangible glass as a round dome shape about an inch thick.  There was an O-ring seal around its periphery to the inside diameter of the inlet duct,  although I no longer remember whether the O-ring groove was in the port cover or in the duct structure.  It had a seating place machined in the duct dump location,  such that the port cover could not move up further into the inlet,  only downstream into the combustor. 

This assembly had a layer of rubber insulation on the combustor-side surface to protect it from hot booster gas exposure.  There was a pyrotechnic explosive charge mounted to the inlet-side surface,  initiated at the same time as the ejectable nozzle detonation cord.  I no longer remember how that charge attached to the port cover,  or any design details about that charge assembly. 

The explosion of that charge triggered the shattering of the port cover into 1-inch size fragments,  consistent with its thickness.  Those fragments plus the remains of the insulation layer,  go through the ramjet nozzle quite easily,  just after it is vacated by the ejectable booster nozzle.   This shattering into fragments of a size roughly equivalent to the original part thickness is typical of "frangible glass",  which is a tempered material that puts its outer layers in tension,  while its inner core is in compression. 

See Figure 7,  which shows the basic idea,  plus my own choices for some of the details.  The actual details used in ASALM might have been different,  but only somewhat.  


Figure 7 -- Frangible Glass Inlet Port Cover

 

Fuel Injection/Aerogrid and Flameholding Technology

ASALM-PTV (and the ASALM weaponized design) featured a device termed an "aerogrid" very near the sudden dump into the combustor.  This was actually both an aerodynamic device and the physical support for all the fuel injection locations and circuits.  As an aerodynamic device,  the prime function was as a flow straightening grid,  with a secondary function as an additional turbulence generator,  for enhancing the mixing rates in a fairly short combustor.  It would be incorrect to assume that it also functioned as a flameholder,  for the forward dome face and sudden dump entry performed that function,  while the aft surfaces of the aerogrid were actually a few inches upstream of the dump. 

Another function that similar aerogrid devices can perform is a terminal shock position limiter in the inlet divergent diffuser,  which comes into play if flow also chokes at the min passage area around the aerogrid.  That fixes the inlet diffuser terminal shock position,  and the corresponding shock strength and pressure drop,  while introducing a second terminal shock and further pressure drop in the flow passages about the aerogrid.  This function does not seem to be necessary for the ASALM application,  but has been used with good effect in some other applications.

More information on exactly how an aerogrid works as a flow straightening grid is given in Ref. 3,  particularly in its Figure 12.

ASALM's aerogrid was also the fuel injection location,  which is just upstream of the sudden dump,  which was the actual flameholder.  The fuel was RJ-5/Shelldyne-H,  which is a synthetic material of physical properties fairly similar to kerosene,  except that its density was very slightly greater than that of water.  It did eventually prove to have too high a freezepoint,  during the testing conducted for ASALM-PTV.

The fuel is injected as a spray pattern of fine droplets,  spread as uniformly across the inlet cross section as is possible.  In supersonic flight,  the inlet air has compression heat in it,  which can serve to vaporize those fine droplets before they reach the end of the recirculation zone.  That way,  fuel-as-vapor can be entrained into the actual recirculation,  which makes combustor ignition feasible.  Fuel-as-liquid into the recirculation zone is not very flammable,  and will "suck in" heat in order to vaporize,  thus tending to quench any chemical reactions your combustor igniter might provide.  Once the combustor is actually lit,  radiant heat from the flame greatly enhances liquid fuel vaporization rates;  the real difficulty is getting the flameholding recirculation zone ignited,  with only the hot air to drive the vaporization.

The coaxial sudden dump is a well known,  well-proven flameholder system for a variety of liquid and gaseous fuels.  Its lean and rich flameout limits are fairly well-defined in terms of an easy-to-use empirical correlation parameter that incorporates inlet flow pressure,  temperature,  and velocity,  as well as a measure of the size of the recirculation zone.  These considerations are well-documented in Ref. 2. 

One key takeaway regarding recirculation zones and flameholding is that your combustor igniter device specifically needs to ignite the actual recirculation flow itself.  If that recirculation zone is not ignited,  the combustor will inevitably flame out the moment the igniter ceases firing,  if indeed you get any discernable combustion at all.  In the coaxial dump combustor of the ASALM-PTV,  that zone is depicted in the sketch of Figure 8. 

Perhaps the easiest locations to mount an igniter would be on the forward dome,  firing directly into the recirculation vortex that is coaxial to the entering inlet air jet.  ASALM-PTV used magnesium flares mounted in the center of the aft face of the aerogrid/fuel injection structure.  For this location to work reliably,  the magnesium flare must be physically contained,  so that its still-reactive hot output forms a jet that can be aimed.  It must be aimed not straight aft,  but angled across the inlet air jet to hit the recirculation vortex,  as indicated in the figure.


Figure 8 -- Coaxial Dump Flameholder of the ASALM-PTV

 

The ASALM-PTV combustor was fairly short,  in that it was only about 2 diameters long.  This barely gave the recirculation flow time to attach to the sides and turn back forward,  before the flow began entering the nozzle contraction.  This is also shown in Figure 8. 

The entering air jet comprises essentially the same fuel/air mixture ratio as the recirculation zone flow,  as there was no dome fuel injection to enrich that zone,  relative to overall. 

The upstream end of the recirculation zone (at the edge of the dump) is the point of continuous ignition applied to the periphery of the main entering flow.  From there,  flame propagates radially inward at the turbulent flame speed,  while simultaneously traveling downstream at the overall flow speed.  This results in a rather gradual velocity triangle,  as shown in the figure,  that must reach flow centerline before that flow enters the nozzle,  or else there will be serious combustion inefficiency.

Having the aerogrid structure shed additional turbulence (calculable from its drag) right into the core inlet jet,  is a way to have a higher effective turbulent flame speed,  and thus help burn out the core flow faster before it reaches the ramjet nozzle.  That secondary function of the aerogrid (generating turbulence) is quite important to achieving good efficiency,  in a combustor that short.  This approach worked rather well in ASALM-PTV:  its demonstrated combustion efficiency was quite high despite the short length.

Inlet and S-Duct Technology

ASALM-PTV featured a "chin inlet" supersonic inlet design,  leading to a noncircular subsonic duct in the belly region of the vehicle.  There is an S-duct double turn that not only offsets the flow axis up to the vehicle centerline,  but also converts it from a noncircular cross section to a circular cross section at the dump entry.  This is correctly depicted in Figure 1 above.  Be aware that the flow in the belly duct and S-turn duct is well-subsonic in speed.   Otherwise the flow losses would have a catastrophic effect upon the total (stagnation) pressure delivered to the combustor entrance.

A chin inlet is like a sector of a nose inlet.  The inlet scoop is only on one side,  instead of extending all around the circumference.  A portion of the vehicle nose performs the same external shock wave compression function as the center spike in a nose inlet.  However,  the asymmetry of this geometry confers some of the advantages of a two-dimensional inlet,  at high positive angle-of-attack. 

At zero angle of attack,  the performance of a chin inlet very strongly resembles the performance of a nose inlet.  In this context,  we are considering total pressure recovery and captured streamtube recovery.  As angle of attack increases,  with a nose inlet,  there is little impact on pressure and streamtube recovery out to about 10 or 15 degrees,  then both begin to fall,  particularly the streamtube recovery.   But as angle of attack increases,  with a chin inlet,  while pressure recovery reduces beyond around 10 degrees,  the streamtube recovery actually increases,  much like a properly-oriented two-dimensional inlet.   See the discussions in Ref. 2 for more detail about supersonic inlets,  how they work,  and how they must be designed differently for a ramjet application,  compared to a gas turbine application.

This being a ramjet application,  better streamtube recovery is higher massflow ingestion,  and in a ramjet,  higher massflow ingestion has a bigger positive effect on engine performance than any losses due to lower pressure recovery (totally unlike a gas turbine application).  Therefore,  a chin inlet is a very attractive design candidate for any ramjet vehicle that will fly at significant positive angle of attack.  And wingless vehicles do exactly that.

The other impact of this choice is how vehicle turns are made.  For a symmetric vehicle,  "skid-to-turn" is usually employed as the simplest and easiest-to-implement.  For an asymmetric vehicle like ASALM-PTV,  "bank-to-turn" is more suitable:  you roll toward the turn direction you desire,  then pull higher angle-of-attack in that rolled pitch plane,  so that the increased lift,  aimed toward in the turn direction,  then causes the vehicle to turn.  If you have a chin inlet whose mass ingestion improves as you increase angle-of-attack,  then your ramjet thrust actually increases as you turn,  thus better offsetting the increase in vehicle drag at higher angle-of-attack (drag-due-to-lift increase).

Thus the choice of vehicle asymmetry,  the choice of chin inlet,  and the choice of bank-to-turn,  are not arbitrary choices for ASALM-PTV.  These really do work together to confer better performance overall.  Amateurs at this kind of vehicle design are unlikely to achieve results like this,  because they are unlikely to be aware of all these nuances,  and especially how they interact.  This is not simple stuff!  You don't learn this stuff in school by simply feeding inputs to a computer program whose internal details you do not know!

Booster Propellant and Grain Design Technologies

Many folks have a nodding familiarity with the composite propellant used in the space shuttle solid rocket boosters (SRB's).  That was an AP-oxidized (AP being ammonium perchlorate) composite,  metallized with about 20% aluminum by mass,  and using a PBAN (polybutadiene acrylonitrile) polymer as the binder system.  The propellant used for the ASALM booster was quite similar,  except that we at Rocketdyne/Hercules used an HTPB (hydroxy-terminated polybutadiene) polymer for the binder system,  and we probably had a higher solids loading,  being the plant that was adept at processing very thick propellants.  Memory fails,  but it was probably near 86% solids. 

ASALM,  like most tactical military ordnance items,  had to pass the "shake/rattle tests" at the extreme environments specified by Mil Std 210.  In other words,  it had to work "right" from -65 F soakout to 145 F soakout.  You cannot get the ballistics and structural properties out of a PBAN system for those kinds of extreme temperatures,  but you can,  out of HTPB and CTPB (carboxy-terminated polybutadiene).  The shuttle SRB's,  and most of the strategic ICBM's,  never see such extremes.  The booster propellant we used in ASALM was essentially the same as what went into many of our tactical missile motors.  We had a great deal of experience making it,  and applying it,  very successfully.

Ref. 4 contains discussions about all sorts of solid propellant types,  and the typical burn rate data,  as well as discussions on multiple solid propellant grain designs,  plus a tutorial on how solid propellant rocket internal ballistics are computed.

The ASALM booster had to fit within a combustor case with a length/diameter (L/D) ratio near 2,  which was half or less the usual value available in a tactical motor.  That booster needed a fairly neutral thrust-time trace,  it had to be an internal burner (not an end-burner),  and it had to be case-bonded,  not cartridge-loaded.  The usual slotted-tube designs for L/D > 5 or 6 would not serve,  and a simple cylindrical tube design would require two segments to provide neutrality (such a design being like the shuttle SRB).  That two-segment design cannot be had in case-bonded form without using a segmented case,  which ASALM could not have.  You cannot extract cast tooling shaped that way,  once the propellant has cured. 

The design solution was the "keyhole slot" grain design,  which was a tube with one full length slot on one side.  My colleague W. T. Brooks at Rocketdyne/Hercules,  came up with this design.  He was my mentor in internal ballistics,  and I helped him run those ballistics for this new design.   It proved to have even better neutrality than a two segment tube would have had,  and can be cast in the case with very simple tooling,  tooling very easily pulled after cure.  Brooks was the author of the NASA Monograph on solid propellant internal ballistics,  by the way.

In ASALM's case,  we had a wide-open forward end,  and a built-up nozzle with a wide ramjet throat aft.  We installed the grain face-forming tool and bore/slot mandrel from forward,  and cast the propellant into the case in a ramjet nozzle-up orientation.  After cure,  you pull the face-forming tool and the cast mandrel out the wide-open front end,  then you install the forward closure with the port cover and its pyrotechnic charge already in place.  The last step installs the booster nozzle into the ramjet nozzle,  with the weatherseal/booster igniter assembly already bonded in place,  and then lock it in with the detonation cord and snap ring.  This sounds more complicated than it really is,  but we were trying to provide a mass-producible design,  and we succeeded.  See Figure 9.

Because most other IRR-type ramjets have relatively short cases in the 3 < L/D < 4 range,  this "keyhole slot" grain design can serve all of them,  providing high cross sectional loading and good neutrality,  in an easily-fabricated design.  That is why it is my "go-to" choice for IRR ramjet booster designs. This design is illustrated,  with typical data presented,  not exactly that for ASALM,  in Ref. 4. 


Figure 9 -- Keyhole Slot Grain and Burning Surface

 

Variable-Geometry Nozzle Technology

While the main ASALM-PTV effort was underway,  we at Rocketdyne/Hercules had a small contract with Martin to support their efforts at identifying upgrades to the design.  ASALM itself,  like all the other operational ramjets,  was a fixed geometry design.  Martin contracted with us to look at ways and means of supplying variable nozzle geometry (VGN) to the design.  They had already ruled out variable geometry inlet (VGI) as less probable to provide benefit,  and as also requiring VGN,  in order to work at all with a ramjet,  unlike a gas turbine application.

This was the effort where I had the most work experience with ASALM,  and being new on the job,  I was not the lead engineer,  except in the cycle analysis and trajectory work.   The lead was my good friend and colleague Jim Cunningham,  who is now deceased.  Jim was the company expert in heat transfer,  compressible flow,  and internal ballistics as affected by compressible flow.  Among other things,  he was my mentor in the hydraulic analogy,  and also together we developed the best ramjet direct connect test analysis techniques in the industry,  which I then automated with software that I wrote. 

What Rocketdyne/Hercules provided to Martin was a combination of nozzle flow visualization using the hydraulic analogy,  thermo-structural design analysis for the VGN nozzle (and the greatly-revised ejectable booster nozzle that had to go with it),  and some full-scale VGN test article cold flow testing on a thrust stand with 6 degree-of-freedom measurement capabilities,  located at Rocketdyne Canoga Park,  in California.  These contract efforts were well-supported with IR&D efforts to enable our team to come up to speed in this ramjet work quickly.  (ASALM was not the only effort going on at the time at Rocketdyne/Hercules:  there was also work aimed at a ramjet upgrade to AMRAAM,  plus the foreign technology exploitation of the SA-6 that is described in Ref. 1.)

This work led to live-fire direct-connect ground tests of a VGN nozzle assembly on an ASALM combustor at Martin's Conflow facility.  The final test modeled the design mission.  The VGN began wide open,  then closed for cruise after the simulated climb,  then opened again for terminal dive,  after a 900 second burn.  Despite the ugly eroded appearance,  the nozzle efficiencies looked just about as good as they did from the cold flow testing. 

We did learn from the visualization work that the "lollipop" wake,  when the "lollipop" was oriented broadside,  needs to close before it leaves the surrounding exit cone,  in order for it not to respond to backpressure as an expansion-deflection nozzle.  That would induce lower nozzle efficiencies,  because of the large off-axis angle of the flow streamlines enclosing the wake zone.  Done properly with closed wakes inside the exit cone,  the nozzle efficiency of the VGN was about 94%,  as compared to about 98% for the plain clean nozzle.  The rather large inefficiencies of off-angle streamline orientation are described for other free-expansion designs in Ref. 5.  Those same risks applied to the ASALM VGN design.  With "lollipop" wakes closed prior to the exit plane,  the efficiency decrement with the ASALM VGN was traceable mostly to the stagnation pressure losses of the extra oblique shocks which actually closed the "lollipop" wakes,  not excessive streamline divergence.

This device is sketched in Figure 10.  It takes the form of a "lollipop"-on-an-axle across the ramjet throat.  Held streamline to the flow,  the ramjet throat area is its largest value.  Turned broadside,  the ramjet throat is its smallest value.  The degree of area modulation is very modest,  being only that needed to bring the inlet capture area / nozzle throat area ratio nearer to an efficient balance,  when the engine is leaned back to hold a steady cruise speed,  which in turn is much higher than the design point speed.  This variation in ramjet throat area reduces an otherwise large inlet supercritical margin in leaned cruise,  thus acting toward raising cruise specific impulse,  and consequently cruising range.  (Its weight,  modest as it was,  acted to shorten cruise range,  of course.)  The "lollipop" was a steel core covered with silica phenolic ablative. 

This design approach is just not suitable for the very large geometry changes between booster and ramjet operation.  For one thing,  the booster pressures are simply too high (approaching 2000 psia for a hot-soaked propellant grain),  while the ramjet pressures were always under 200 psia,  the max value occurring at max speed at sea level.  There was no feasible structural solution for that.  For another thing,  the higher booster pressures made local flow pressures higher all around the "lollipop",  thus creating unsurvivable heat transfer coefficients. 

While it would have worked for ASALM in cruise,  Martin and the USAF did not select VGN for the ASALM-PTV demonstration,  opting instead for the baseline fixed geometry.


Figure 10 -- Sketch Of VGN Nozzle As Designed For ASALM

 

To help support these efforts,  I was tasked on supporting IR&D funding to model the engine-inlet-nozzle combinations with USAF-supplied cycle codes,  and to conduct trajectory analyses.  I used inlet data and vehicle aerodynamics data supplied by Martin for this.  To understand what I actually did,  you have to understand what a "cycle code" is,  in the context of a ramjet engine application.

A "cycle code" is a means of predicting the performance (thrust and specific impulse) of an engine at any given flight condition.  It can be a standalone program for point performance calculations,  or it can be a propulsion model subroutine inside a trajectory code.  The word "cycle" is a reference to the classical thermodynamics text cycles that model heat engines:  things such as Brayton Cycle,  Rankine Cycle,  Otto Cycle,  etc.

There are some rather accurate predictive models for gas turbine engines that use typical pressure ratios,  input as constants,  to model various components in the engine,  plus an operating mixture ratio and a releasable heat from the fuel.  These models work well for gas turbines,  because the compressor pressure rise ratio and turbine pressure drop ratio are rather well-understood,  and they dominate over all the other pressure ratio factors by far.

These pressure ratio models can be used for ramjet,  but they do not supply reliable or realistic results!  This is because there is no compressor or turbine,  whose pressure ratios dominate the model.  That makes the ratios of the other components crucially important,  particularly the inlet,  which is then the only pressure-rise component in the model.  That in turn makes "typical constant values" inappropriate,  because all of these components' pressure ratios depend very strongly upon the state of the compressible flow entering them.

The "cycle code" models of ramjet that are successful are those that use the mathematics of compressible fluid flow to compute the actual flow states at every station through the ramjet engine,  using a series of empirical and theoretical component models strung together.  The details of this are well-explained in Ref. 7.  Of particular note is the iteration required to "balance" the engine massflow:  the captured massflow of air plus injected fuel for a current value of "inlet margin" can be delivered to the nozzle entrance at a certain pressure determined by the mixture,  combustion efficiency,  and component losses. 

At that pressure and those delivered conditions,  the nozzle can only flow a certain massflow.  For the engine balance to be converged,  those two massflows must be the same!  If they are not,  then one adjusts the "inlet margin",  and runs the entire calculation again.  There is a caveat:  "inlet margin" can mean either supercritical pressure margin or subcritical spillage margin (but these both cannot be nonzero simultaneously),  and you cannot jump back and forth between those two kinds of operating conditions (Ref. 3 covers what those conditions mean).

That ramjet massflow balance is totally unlike the behavior of a gas turbine system,  even one using exactly the same inlet hardware.  It is the rotation speed of the turbine core(s) at any given altitude and day type that determine engine massflow in a gas turbine application,  for which the inlet simply responds appropriately,  if it can.  That situation is totally unlike what happens in a ramjet application.  This topic is covered extensively in Ref. 3.

Early in my career when ASALM and those other efforts were underway,  I would size a ramjet engine and inlet with a sizing map like that depicted in Figure 11.  This was before I understood the additional constraints on throat area proportion imposed by flameholding considerations and by practical inlet duct sizes.  The sense of the figure is clear:  any thrust coefficient above the factored vehicle drag line is "feasible",  and the operating mixture strength and throat can be read for any such point from the point performance calculation that produced it.  The point performance results that produced this plot also produce specific impulse,  so that the "best" (highest-specific impulse) such solution can be selected.  Inlet duct size is understood as just being part of the set of inputs that produced this plot.  You have to revisit the duct sizing many times as performance is explored across the flight envelope,  because of infeasibly low or high duct velocities.  And if you explore flame stability across the flight envelope,  the number of necessary iterations gets worse. 

But,  as I learned later,  you cannot really do it very effectively this way!  (1) There are very severe limits on max throat proportion imposed by flame stability at design,  and even more so off-design.  (2) There are also very practical limitations on inlet duct size to prevent overspeed at cold flow ignition,  and underspeed,  producing flashback damage.  (3) Further,  the duct physical size also impacts flame stability directly,  especially in the coaxial dump ASALM configuration.  Note also that with side inlets,  vehicle drag varies more directly and more strongly with duct size,  than it does capture area size.

Today,  knowing what I now know about flame stability and mixing,  I just set the throat proportion to its maximum at 65% of combustor flow area for flameholding systems,  or at about 90% for hypergolic magnesium systems that only require mixing.  The inlet duct gets set (and likely revisited only once or twice) between about 40% and 50% of the combustor flow area.  Then thrust-over-drag margin just is what results,  and the higher it is,  the better. 

I do this at the richest mixture expected (usually about 110% of "perfect"),  so that leaning-back just increases supercritical margin,  thus never incurring spillage at nonzero spillage margin.  I usually use a design point at the shock-on-lip Mach number for the inlet design,  in the stratosphere for the coldest,  densest air delivery to the combustor,  to have the max delivered air massflow.  Then warmer air at lower altitudes never drives the inlet subcritical,  causing spillage,  unless you try to fly below shock-on-lip Mach,  which you should never do. 

Thus,  in one or two sizing runs,  I get to a workable,  properly-sized answer,  that used to take me multiple sizing map iterations when I first got started doing this!  Plus,  I have a better grip on actually having adequate flame stability throughout the flight envelope.  That's a lot better results for a whole lot less work.

About the time of the end of the ASALM program,  I obtained the "seminal" works on flame stability.  For the coaxial dump,  this was the dissertation of E. Tom Curran at WPAFB,  and for blockage-element flameholders,  this was a report from Marquardt written by Robert Ozawa.  The side dump flame stability criteria and the hypergolic magnesium mixing knowledge,  I learned from long years of test experiences at Rocketdyne/Hercules.   I put a distillation of all this knowledge into Ref. 2.


Figure 11 --  Sketch of Typical Early Sizing Map

 

Heat Protection Issues for Airframe and Inlet

There are two things to worry about when doing heat transfer models:  (1) good engineering models for all of the heat transfer processes and all the fluid and solid physical properties involved,  and (2) establishing a steady-state balance among all the heat transfer processes taking place (which is just conservation of energy).  The simplest case is a lateral skin panel,  which can receive convective heating from the high-speed slipstream adjacent to it,  can radiate heat to the surroundings,  and can conduct heat to internal structures or items that can act as heat sinks,  at least temporarily. 

Skin panels receive convective heat transfer on only the outer surface,  radiate heat from only that outer surface,  and usually have very restricted conductive paths for heat flow from the panel into the interior.  The convective heating rate to the panel is rather high at low altitudes where the air stream is dense,  and low at very high altitudes,  where density is low.  This is because high density leads to high Reynolds number,  which leads to high Nusselt number,  and thus high heat transfer coefficient.  The radiative and conductive transfers do not depend upon air density.  See the discussions in Ref. 6 for more detail on exactly how this works,  and how it is calculated,  with examples. 

Nosetips and leading edges are similar,  except that the geometry is not planar,  and the heat transfer models for stagnation zones,  and regions close by,  lead to very much higher heat transfer coefficients.  The convective driving temperatures are the same,  so it really is the higher heat transfer coefficients that cause the far higher heating rates.

Air inlet structures present special problems of much more severe heating.  This is because things like inlet cowl lips are heated convectively on two sides (and not by the same amount),  while they are only able to shed heat radiatively on the one side that faces the surroundings.  They will equilibriate at higher temperatures just because of the 1-surface vs 2-surfaces effect.  Paths by which to shed heat conductively are extremely limited,  or may not exist at all. 

For ducts in the interior of the vehicle,  there is usually convective heating on one surface (inside the duct),  and no chance to shed heat radiatively to the surroundings from an outside surface.  There may or may not be paths by which to shed heat conductively to adjacent structures.  The upshot here is that inlet structures will often equilibriate at higher temperatures than even nosetips and leading edges,  because of an inability to shed heat at all.  Any surface unable to shed heat will equilibriate at the driving temperature for convective heating,  which is the recovery temperature in the thermal boundary layer.  Again,  see Ref. 6 for details.  Recovery temperatures are very nearly stagnation temperatures.

For equilibriation purposes,  the recovery temperature that drives convective heat transfer is set by the compressible flow conditions.  The surface temperature that drives re-radiation is actually your variable for iteration purposes!  The temperature of the surroundings is pretty much a constant,  as is the heat sink temperature for conduction.  You simply iterate values of surface temperature until the heat energies balance.  Computer codes do this internally quite automatically (because they are programmed to do so),  but you can also do it manually in a spreadsheet.  Just input a range of surface temperatures and do the calculations automatically with all of them.  With the one calculation that comes closest to balance as a startpoint,  use trial and error to converge that one calculation as close as desired.

In the case of ASALM,  at low altitudes the Mach number is rather low:  around 2.5 to 3.  The higher cruise Mach number of 4 takes place only in the thinner,  colder air up around 80,000 feet.   On a "standard day",  at 20,000 feet Mach 2.5 the worst case is soakout to the recovery temperature,  which is very near the stagnation temperature of 547 F (286 C).  At 80,000 feet Mach 4,  it is around 1211 F (655 C).  These are temperatures that a Martensitic stainless steel can handle without too much loss of strength.  However,  at Mach 6 and 20,000 feet for the throttle runaway incident in flight test 1,  these temperatures were quite unsurvivable for steady-state exposure,  at 3209 F (1765 C),  which neatly explains the telemetry about the skin beginning to melt during this brief transient event.

Final Remarks

When I first started work in the industry,  it was not long at all before I began doing ramjet work.  At that time,  there were no desktop  or laptop computers,  and even scientific pocket calculators were uncommon.  The only computers were giant "mainframe things" requiring tons of air conditioning,  that you input with steel trays of punched cards,  up to 2000 cards in a tray.  That was reserved for only the very hardest problems that you could not approach otherwise,  because that same computer was usually tied up all day by the accountants running payroll,  and payroll was much more important to management.  There was no "spreadsheet software" of any kind.

So,  we usually ran repetitive engineering calculations entirely by hand,  organized and laid out on a great big piece of paper,  but pretty much the way spreadsheets work today.  Those calculations were done manually,  pencil-and-paper,  assisted by slide rules,  and by adding machines that resembled old-fashioned typewriters.  Those tools were replaced by scientific pocket calculators,  once real scientific pocket calculators became available,  in the first few years of my career. 

Many of you readers will not even know what a slide rule was!  The slide rule served as the "scientific pocket calculator" for about 3 centuries,  before real scientific pocket calculators were invented.  There's a picture of my own personal slide rule in Ref. 8.  I designed my first airplane and my first 6 supersonic missile propulsion systems with it.

The scales on a slide rule were marked logarithmically,  so that when you added with those scales,  you were adding logarithm to logarithm.  Mathematically,  that literally is multiplication!  Differencing logarithms is division!  There were other scales that would do powers and roots,  and trig functions.  If you really understood that kind of math,  then learning slide rule was easy.

The first ramjet work I did was in 3 areas:  (1) ASALM,  which was a liquid fueled ramjet,  (2) gas generator-fed ramjet work aimed at an upgrade for AMRAAM,  and (3) exploitation of the Russian SA-6,  which was a gas generator-fed ramjet.   Every one of these was an IRR.  I also used the ASALM technology for a ram-fed hot gas generation device that burned a variety of gaseous and liquid fuels,  when I worked for what was then Tracor Aerospace (now BAE Systems) in Austin,  TX.  That was for an advanced-technology infrared decoy.

This article covers what I remember of the ASALM work.  Ref. 1 covers mainly the SA-6 exploitation work,  with some discussions of the AMRAAM-targeted work.  If there is enough interest,  I may write up that AMRAAM-targeted work in much more detail in a future article,  and possibly the hot gas decoy device in another.  

I have also noticed some readership of the solid propellant rocket ballistics article,  which would apply to IRR boosters,  space launch stages or strap-ons,  as well as solid rocket missiles and applications in general.  And,  the several high speed aerodynamics and heat transfer articles seem to have had some interest.  Plus the inlet fundamentals article,  Ref. 3.  These apply to missiles or those other vehicles,  whether ramjet or rocket,  and high-speed airplanes,  no matter how powered. 

Please feel free to leave comments in any event.

References (all located on this site):

To find these references,  the easiest procedure is to use the navigation tool left side of this page.  Write down the year,  month,  and title on a scrap of paper.  Click first on the year in the navigation tool,  then on the month,  and if need be,  on the title.  Simple as that.  I wrote all of these articles.

#1. 4 February 2020,  "One of Several Ramjets That I Worked On"  [article describes SA-6 exploitation in great detail,  plus descriptions of ASALM,  the AMRAAM ramjet upgrade projects,  USN's AAAM project,  and the IR decoy combustor]

#2. 3 March 2020,  "Ramjet Flameholding" [primer on flameholding how-to,  scope includes liquids,  "hydrocarbon" gas generator solids (which would include modest metallization with aluminum,  magnesium,  and boron),  and "hypergolic" gas generator solids (which are effectively only high-magnesium)]

#3. 9 November 2020,  "Fundamentals of Inlets" [primer for pitot/normal shock inlets and both types of supersonic inlets,  relating to both ramjet and gas turbine application]

#4. 16 February 2020,  "Solid Rocket Analysis" [physics and design analysis models for solid propellants and the devices that contain them;  interior ballistics]

#5. 12 November 2018,  "How Propulsion Nozzles Work" [physics and engineering how-to for nozzles]

#6. 2 January 2019,  "Thermal Protection Trends for High-Speed Atmospheric Flight" [heat protection issues]

#7. 21 December 2012,  "Ramjet Cycle Analyses" [how to model ramjet engines for reliable and accurate performance prediction]

#8. 16 March 2019,  "This Is A Slide Rule" [image plus some history]