,D-R125 IN GAS ENVIRONNENTSCU) JOHNS 1I HOPKINS UNIY .

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,D-R125 5111IGRAPHITE ABLATION IN SEVERAL GAS ENVIRONNENTSCU) JOHNSHOPKINS UNIY LAUREL NO APPLIED PHYSICS LABR WNEWMAN ET AL. JAN 83 JHU/APL/TG-i3364SFIG 11/4 NLUNCLSSIFIED N3-53-C3E-7hhmlhhEhhhhhhhhhhhhEomomomoo

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JHU/APLTG 1336JANUARY 1983Copy No.1Technical Memorandum2.GRAPHITE ABLATION INSEVERAL GAS ENVIRONMENTSR. W. NEWMANC. H. HOSHALLDTICELECTEMAR 11 19833THE JOTNS;UNIVERSIIYNH(OPV I,.ApprovedAPPIII).for public release; distribution unlimited08 03It.041.

UnclassifiedPLEASE FOLD BACK IFNOT NEEDEDFOR BIBLIOGRAPHIC PURPOSESSECURITY CLASSIFICATION OF THIS PAGEREPORT DOCUMENTATION PAGE1. REPORT NUMBER2. GOVT ACCESSION NO.3. RECIPIENT'S CATALOG NUMBERJHU/APL TG 13364. TITLE (and Subtitle)5. TYPE OF REPORT & PERIOD COVEREDGRAPHITE ABLATION IN SEVERAL GAS ENVIRONMENTSPTechnical Memorandum6. PERFORMING ORG. REPORT NUMBERJHU/APL TG 13367. AUTHOR Is)R. W. Newman and C. H. Hoshall8. CONTRACTORGRANT NUMBER (s)N00024-83-C-5301"9. PERFORMING ORGANIZATION NAME &ADDRESS10. PROGRAM ELEMENT, PROJECT, TASKAREA &WORK UNIT NUMBERSThe Johns Hopkins University Applied Physics LaboratoryJohns Hopkins RoadLaurel, MD 20707Task X8GI11. CONTROLLING OFFICE NAME&ADDRESS12. REPORT DATENaval Plant Representative OfficeJanuary 1983Johns Hopkins Road13. NUMBER OF PAGESLaurel, MD 207074215. SECURITY CLASS. (of this report)14. MONITORING AGENCY NAME &ADDRESSNaval Plant Representative OfficeJohns Hopkins RoadLaurel, MD 20707Unclassified15a. DECLASSIFICATION/DOWNGRADINGSCHEDULE16. DISTRIBUTION STATEMENT (of this Report)Approved for public release; distribution unlimited.17. DISTRIBUTION STATEMENT (lo the abstract entered in Block 20, if different from Report)418. SUPPLEMENTARY NOTES19. KEY WORDS IContinue on reverse side if necessary and identify by block number)ablationcombustc.carbon-carbon compositediffusion limitgraphiteq'-21. ABSTRACT (Continue on reverse side if necessary and identify by block numberlThe design of a passively cooled comhustor for a hypersonic tactical missile poses many severe structural problems whose solutions arebeyond the current state of the art. To design such a combustor, the designer must predict accurately the erosion rate of candidate materials sothat a realistic balance can be achieved among weight, performance, and cost. To make these predictions, basic experimental data must be takento determine ablation rates as a function of surface temperature, pressure, gas flow rate, and gas composition. An experimental procedure hasbeen developed to obtain this information for graphite materials exposed to various gases, such as CO, CO., argon, and H2O, and simulatedShelldyne H-air combustion products. The data agree well with data obtained from the literature and indicate that at temperatures above 35000F(a) the ablation rate is diffusion limited, (b) CO, in the stream reacts with carbon at the surface to form CO, and (c) water vapor reacts with thesurface (this was not anticipated prior to the tests). At 2000*F, ablation is controlled by reaction rate, and both CO, and water vapor in thestream react with the surface.DDFORMDJAN73 1473UnclassifiedSECURITY CLASSIFICATION OF THIS PAGE

JHU/APLTG 1336JANUARY 1983Technical MemorandumIlIGRAPHITE ABLATION INSEVERAL GAS ENVIRONMENTSR. W. NEWMANC. H. HOSHALLTHE JOHNS HOPKINS UNIVERSITY E APPLIED PHYSICS LABORATORYJohns Hopkins Road, Laurel, Maryland 20707Operating under Contract N00024-83-C-5301 with the Department of the NavyApproved for public release; distribution unlimited

THE JOHNI HOPKINS UNMERSITYAPPLIED PHYSICS LABORATORYLAUIEL. MARYLANOABSTRACTThe design of a passively cooled combustor for ahypersonic tactical missile poses many severestructural problems whose solutions are beyond thecurrent state of the art. The designer of such acombustor must predict accurately the erosion rate ofcandidate materials so that a realistic balance can beachieved among weight, performance, and cost. Tomake these predictions, basic experimental data mustbe taken to determine ablation rates as functions ofsurface temperature, pressure, gas flow rate, and gascomposition.An experimental procedure has been developed toobtain ablation data for graphite materials, and testshave been performed on ATJ graphite samples. ATJgraphite was chosen because it has well-documentedablation properties that can be used to evaluate the- -accuracy of our test procedure. For these tests, ATJgraphite pellets, 3.3 mm in diameter, were electricallyheated to temperatures between 2000 and 4500F.Reacting gases flowed perpendicularly to the surfaceat velocities between I and 20 m/s. whe gasessimulated Shelldyne-air combustion products at fuelair equivalence ratios from 0.0 to I. In addition, theeffects on ablation of oxygen, carbon monoxide,carbon dioxide, argon, and water vapor wereevaluated. The sample's surface temperature wasmeasured with an optical pyrometer, and averageablation rates were determined from changes inspecimen thickness and weight during each test.The results of 40 tests are reported. The data agreewell with results obtained from the literature andindicate that at temperatures above 35000F (a) theablation rate is diffusion limited, (b) carbon dioxidein the stream reacts with carbon at the surface toform carbon monoxide, and (c) water vapor apparently reacts with the surface. At 2000 F, ablationis reaction-rate controlled, and both carbon dioxideand water vapor in the stream react with the surface.Thus, a procedure for such testing has beendeveloped and proven. Recommendations for testingother materials such as carbon-carbon compositesare included. Also discussed are procedures formeasuring species concentrations near the surfaceusing Raman scattering techniques in conjunctionwith this test arrangement.3I-j

THE JOHNS HOPKINS UNIWERSITYAPPLIED PHYSICS LABORATORYLAUREL.MARYLANDPREFACEKaThe purpose of this report is to describe the experimental arrangement and test procedure used tomeasure ablation rates on ATJ graphite testspecimens. Test results are reported and, in somecases, compared to analytical results.This work has been supported during 1981 and1982 by in-house research and development funding.Kiizr116.!2D ;.A5)4, t ,' ",FGz

.711U.THE.7JOHNS HOPKINS UNIERSITYAPPLIED PHYSICS LABORATORYLAUREL.MARYLANOCONTENTSList of Illustrations.8*List of Tables .8IIntroduction .92.Sum mary .103.Test Apparatus Design Considerations .4.Test Procedure .225.D ata Reduction .236.Test Results .26Sim ulated Shelldyne-Air .Velocities Greater than I m/s .Effects of Water Vapor and Specimen Temperature on Tests with Air .Carbon Dioxide Gas Flow .26292929Carbon Monoxide and Argon Gas Fl32.20Oxygen G as Flow .Comparison with Matsui Data .32327.C onclusions .338.Planned W ork .34A cknow ledgm ents .34References .35Appendixes:ABData Recording System .Pyrom eter Calibration .73740

-THEWJOHM HOPKNS UNNERSfYAPPUED PHYSICS LABORATORYLAAJRIL.MARYLANDILLUSTRATIONSIBlock diagram of test apparatus for graphite reaction measurements .2Graphite ablation apparatus (Pyrex cover in place) .123Closeup of apparatus (Pyrex cover removed) .134Vaporizer assem bly .145Heater, specimen, and shield .156Thermocouple assembly (for nozzle) .7Device for measuring specimen thickness .168Scanning electron microscope image after test .209Ratio of equivalent ATJ graphite recession rate measured by mass loss method to that measuredby thickness change .2310Recession ra." of ATJ graphite samples .23IIMeasured gas temperature at nozzle exit plane .2412Measured mass transfer coefficients for ATJ graphite samples exposed to simulated Shelldyne-airgas flowing at a nominal velocity of I m/s .26Ratio of measured mass transfer coefficient to diffusion-limited mass transfer coefficient for ATJgraphite samples exposed to Shelldyne-air flows .2814Recession of carbon in Shelldyne-air mixtures .2915Review of available graphite ablation test data .3016Ratio of mass transter coefficient to diffusion-limited mass transfer coefficient for ATJ graphitesamples exposed to air, assuming that 02 and half of H 2 0 react to form CO .3117Comparison of present air flow ablation data with Ref. 7 data .3118Ratio of mass transfer coefficient to diffusion-limited mass transfer %;oefficientfor ATJ graphitesamples exposed to CO, and H,0 gas mixtures flowing at a nominal velocity of I m/s .3219ATJ graphite combustion rate in air versus temperature .3220Aiming procedure for pyrometer calibration .13.15.38TABLES17IATJ graphite ablation test summary (1981 tests) .2Summary of conditions under which tests I through 40 were run3Calculated gas composition- and flame cmnperatures of reacted Shelidyne-air .274Calculated diffusion-lim ited mass transfer coefficients .278.19

PTHE JOHNS HOPKINS UNIVNERSITYAPPLIED PHYSICS LABORATORYLAUREL.MARYLANOU1. INTRODUCTION-"hcomposition.Carbon-based materials are used in thermal protection systems for reentry vehicles and missiles. Thedesign of hypersonic tactical missile combustorsposes many severe structural problems whose solutions challenge the current state of the art. To designsuch a combustor, the designer must predict accurately the erosion rate of candidate materials sothat a realistic balance can be achieved amongweight, performance, and cost. To make these predictions, basic experimental data must be taken todetermine ablation rates as functions of surfacetemperature, pressure, gas flow rate, and gasThe primary objective of this test program was todetermine ablation rates for ATJ graphite samplesexposed to various co,,ditions and to use those ratesto evaluate an analytical model of ATJ ablation in acombustor environment. Preliminary tests indicatedthat a test apparatus could be built to measure theablation rates,' and a test plan giving the requiredtest conditions2 was developed. This report describesthe test apparatus, the test results, and plans forongoing work.ZC. H. Hoshall, Graphite Ablation Tests, JHU/APL CFP-80-003!g2(15 Jan 1980).R. W. Newman, Test Plan to Measure High TemperatureGraphite Ablation Rate, JHU/APL EM-4999 (26 Jun 1981).9

*-.-.THE JOHNS HOPKINS UNIVERSITYAPPUED PHYSICS LABORATORYLAUREL.MARYLAND2. SUMMARYto 4500 F with incident gas flow rates from 1.2 to 22m/s. Air, oxygen (O2), carbon dioxide (C0 2), andcarbon monoxide (CO) were used as reagents. Sometests were run with "dry" reagents whose watercontents were typical of compressed gases. The watercontents of the compressed gases were not measured;however, on the basis of information from thesupplier, typical water contents at 2000 psia are 17ppm for air, 8 ppm for 02, 128 ppm for C0 2 , and 2ppm for CO. For some tests, water vapor was addedin known amounts. Also, mixtures of nitrogen (N2 ),02, CO 2, CO, and water vapor were used to simulatethe products of combustion of Shelldyne-H fuelburned at equivalence ratios (ER's) ranging fromapproximately 0.3 to 1.0.A summary of test conditions and results for the 40tests reported herein is presented in Tables 1 and 2.The results agree well with data in the literature forair and CO 2. CO2 and water both react with the ATJgraphite surface, even at temperatures as low as2000 F.The apparatus developed in late 1979 in the APLCombustion Research Laboratory' was modified forthe current series of tests. Figure I is a block diagramof the apparatus as it was at the end of the tests; Figs.2 through 7 are photographs of various parts of thetest setup and ancillary apparatus.Specimen temperatures up to 4500 F areachievable with the electrically heated graphiteelectrode. Specimens of ATJ graphite, approximately 0.13 in. (3.3 mm) in diameter and 0.07 in.(1.78 mm) thick (Fig. 5), are placed in a graphiteguard ring; the assembly is put into a shallowcylindrical recess at the tip of the heater and heatedby conductive and radiative energy transfer from theheater. Specimens can be heated this way to 4000 F;with less reliability, they can be heated to 45000F.Reagent gases exit from the nozzle, which is normalto the flat surface of the specimen (Figs. I and 3).The numbers in the triangles in Fig. 3 correspond tothe numbers identified in Fig. 1.Tests were run at temperatures ranging from 2000110.

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THE JOHNS HOPKINS UNIVERSITYAPPLIED PHYSICS LABORATORYLAUREL MARYLAND-multimeters0IFiure-Iret0raphte blaton8(forthermocouples)ppartus Pyrx coer n plce)cyind

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F.Z-**Z,'*%THE JOHNS HOPKINS UNIVERSITYAPPLIED PHYSICS LABORATORYLAUREL.MARYLANDLuer fittingmixing chamberThermocoupleFigure 4 - Vaporizer assembly.14

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TIE JOHNS HOPINS UNIVERSITYAPPLIED PHYSICS LABORATORYLAUREL,MARYLAND4447:4AFigure 7 - Device for measuring specimen thickness.16

TMOHNS HOPKNS UNIVERSWYAPPUED PHYSICS LABORATORYLAUREL. MARYLANDTable 1 - ATJ graphite ablation test summary (1981 tests).TestNo.ATJTemp.TmF)GasWater(')(VOL %)Gas Velocity (mis)Nominal(b) ionRate 6.619.9300.1791.020.9017

THEJOHN HOPKINS UNIVERSITYAPPLIED PH{YSICS LABORATORYLAUEL. MARYLANOTable IA Timassatr(iTet em.N. (F(cont'd)Gas Velocity (mis)TestTransfer(s)91RecessionRate ed0.38212000Air223500ER 0.3(c)2022.5400.1651.043500ER 0.3e)2022.5400.1721.081.02242000ER 0.31c)11.181200.1030.140.10253500ER 0.3(e)12.01770.1500.240.17263500ER 0.3(c12.011800.1530.250.21272000ER 0.6(e)11.183000.08020.110.097283500ER 0.6 9302000ER].1Ole'11.164500.0210.0280.017313500ER- 1 CO,Dry12.481200.1170.240.19353500CO6.5%12.484200 30.1560.330.18393500ER12.483000.0890.150.124000ER 1.0112.482400.0810.140.11g23*40Ga--0.6(e' 21.0"'(ai Water content indicated is percent by volume of total (gas plus water). "Air"' and(CO, dry- contain :400 ppm water ( 0.040% by volume).N Based on room-temperature exit gas from nozzle.IdIdiof the test.There may have been less water vapor in the last partWater content is uncertain.simulated as products (it combustion (N,. 0. CO., CO. 1-1O) for Shelldyne-H fuel;see Table 3.180.90

THE JOHNS HOPKINS UNIVERSITYAPPLIED PHYSICS LABORATORYLAURIEL MARYLANDTable 2-Summary of conditions under which tests 1through 40 were run.Nominal Gas Velocity* for Sample TemperatureGas Conditions200VFImis 16.6m/stAir 400 ppm H2 04.5% H 206.5%H 2012Simulated Shelldyne-airER 0.3Im/sIm/s4ImIs 16.6m/s3211314II2425,26ER 0.62728,29ER 1.03031,39026.5% H20*3500"F2500"F 29,104500"FIm/s1522,234036CO2 400 ppm H 206.5% H 2 0343233Co6.5% H 2 035Argon6.5% H 2 037'Based on room-temperature exit gas from nozzle.tThere may have been less water vapor in last part of test.ttWater content uncertain.1938

THE "ONSHOPKINS UNIVERSITYAPPLIED PHYSICS LABORATORYLAUREL,MARYLAND3. TEST APPARATUS DESIGN CONSIDERATIONS*One objective of this effort was to measuregraphite ablation rates under conditions for whichdata were not available in the literature or in whichthere is special interest relating to the study of hightemperature thermochemical reactions of graphite.Another objective was to develop an apparatus andtechniques that - in addition to their purpose in thisseries of tests - could aid planned future investigations using Raman scattering to measurespecies concentrations in the reaction zones near thesurface of heated graphite.The graphite specimen, ring, and shield assembly(Fig. 5) presents a continuous surface to the gas sothat the pellet (specimen) will be uniformly ablatedwithout undesired edge effects. The assembly rests onan electric resistance heater consisting of a 0.065 in.(1.65 mm) thick graphite sheet, 0.75 in. (1.91 cm)wide and 2.5 in. (6.35 cm) long, with a saw cut alongmost of its length to form a U-shaped resistor. Thetop of the heater (Fig. 5) is counterbored to a depthof approximately 0.030 in. (0.76 mm) to provide apositive support for the specimen and to help keep itfrom being blown away by the reagent gases. Watercooled "jaws" provide the electric connections andsupport the heater electrode. One set of jaws ismounted on coiled stainless steel tubing (Fig. 3) toallow one leg of the heater to move freely. Thisprovides minimal resistance to movement resultingfrom unequal expansion of the two legs of the heater;the legs can expand without breaking as they woulddo if they were supported rigidly.A nozzle, 0.5 in. (12.7 mm) ID, is used to reducethe possibility of undesirable effects of contamination of the reagents as a result of the entrainment of gases present in the enclosure anddiffusion of the ambient environments into the gasstream. It also ensures stagnation flow conditionsacross the entire surface of the 0.22 in. (5.6 mm)diameter specimen-guard ring assembly. The exitplane of the nozzle is 0.43 in. (II mm) from thesurface of the specimen.To ensure that the gases are not substantiallybelow room temperature as a result of adiabaticexpansion (as the gases are released from the compressed gas cylinders), the gas supply line is fittedwith a simple heat exchanger made of coiled coppertubing immersed in a container of water at roomtemperature (Fig. I).A simple apparatus has been made for injectingwater vapor into the gas stream. A well-controlledflow of water vapor can be introduced into the testgas by means of a soldering iron heating element(Fig. 4) to supply heat and a commercial syringepump (Fig. 2) to inject water at the required ratethrough small-gauge stainless steel tubing into thevaporizer. However, the output capacity is limited;consequently, tests with high water content (5 to10%) were limited to 1 m/s velocity. Also, because ofthe limited water vaporization capacity, an accuratesimulation of the Shelldyne-air combustion productsfor the ER I condition (which requires 9.2%water) could only be achieved for a flow velocity of Im/s. To prevent condensation from occurring in theinlet piping and nozzle assembly, these parts werewrapped with heating tape.A data acquisition system recorded all datameasured during the tests. Eight channels of aHoneywell Model 1858 CRT Visicorder were used torecord the analog voltages indicated in Fig. I. Adetailed description of each channel is provided inAppendix A.Accurate measurement of the ablation is difficultbecause a lower-density layer is formed near thesurface when ablation first starts. This lower-densitylayer is evident in an electron microscope photographof a specimen's cross section (Fig. 8). The thicknessof the layer was determined to be about 0.008 in.A'IFigure 8 - Scanning electron microscope image of ATJpellet after test.2(

ThJOHNS HOPKINS UNIERSITYAPPLIED PHYSICS LABORATORYLAUREL.MARYLANO.along the stem of the dial indicator is attached to asmall ball bearing epoxied to the indicator stem. Bymeans of an ohmmeter, very light contact with thespecimen surface can be detected easily. Specimentemperatures were measured using the disappearingfilament pyrometer described in Appendix B.(0.20 mm), and it was easily compressed when amicrometer measurement was attempted. Toovercome this problem and to obtain an accuratemeasurment of the pellet thickness, the special deviceshown in Fig. 7 was made and was found to worksatisfactorily. The wire that can be seen emerging21

TH1EAONS HOPKINS UNIMOIRISTYAPPLIED PHYSICS LABORATORYLAUEL. MAMf4. TEST PROCEDUREThe general test procedure is as follows:I!. The pellet sample is weighed on an analyticalbalance and is measured with a micrometer.Then it is installed in the guard ring and electricheater.2. Power to the heater is supplied by a 5 kVAtransformer and is manually controlled by aVariac.3. The desired amount of each reagent gas ismetered through a choking orifice. The gasesare mixed in a chamber, and flow of the gases isbegun and stopped by solenoid valves.Unreacted gases and products of combustionleave the bell jar through a l-in.-diameter holein the baseplate directly beneath the tip of theheater and pass into the l.aboratory's ventsystem. The solenoid valves are controlled by aspecimen is conditioned. Meanwhile, thereagent gases flow through the orifices into themixing chamber but are vented from thechamber by valve 3 and are prevented fromentering the nozzle by valve 2 (see Fig. I). Thegases are vented to keep the mixing chambernear atmospheric pressure, thereby minimizingpressure transients at the orifice ontlets whenthe solenoid valves operate.4. When the specimen reaches the desired temperature (as determined by the operator viewingthe disappearing-filamentitthroughpyrometer), the operator throws a toggleswitch, which simultaneously terminates theflow of argon through the nozzle, closes thevent valve, opens solenoid valve 2 between thesingic manually operated switch that is connected to a timer, which is set for the desiredtest duratior. When the specimen is in place, thetest chamber is purged of air by argon admittedthrough a manually operated valve at the top ofmixing chamber and the nozzle, and starts theclock. These conditions persist for the durationof the test (during which the operator holds thetemperature of the specimen constant bycontrolling the Vafiac). At the end of the test,the chamber. This valve is closed manually, andargon is then passed through the nozzle onto thespecimen. In this locally inert environment, thespecimen is brought up to temperature and heldthere while the system stabilizes and thethe heater power is automatically turned off bythe timer, and the solenoid valve-, are switchedto their pretest conditions.5. The specimen is removed, weighed, andmeasured.i22

THE JOHNS HOKINS UNIVERSItYAPPUED PHYSICS LABORATORYLAUREL.MARYLAN1.5. DATA REDUCTIONRecession rates (U) have been measured as functions of surface temperature, impinging gas composition, and gas velocity. Eight tests wereduplications of previously run tests (Table 2); themeasured recession rates for those cases differ fromeach other by an average of 60 and at most by 15%.The average recession rate based on measuredthickness change is*(I)These calculated values are in good agreement withexperimental data (Fig. 9), indicating that the porouslayer remains nearly constant.When total recession is large compared with the 8mil porous layer, -Vm/), approaches unity. Mostablation tests reported in the literature use largesamples and have large total recessions; Y m/., approaches 1 for those cases. Since thicknessmeasurements are difficult and the mass loss methodis more representative of the amount of materialwhere y is thickness, t is time, and subscripts 0 andfrates" presented in the rest ofablated,theare.Y"recessionthisreportn.yt- (Yo - o)e.designate initial and final conditions.thsrptAn "equivalent recession rateAromthe mass loss:S(omf)yo/[mo(t-(Yin)-to))The test results plotted in Fig. 10 cover a large spanis computedof test conditions. The effect of gas velocity can beremoved from these data if the recession rates arenormalized by dividing .m by hi/p, where hi is the(2)local enthalpy-based heat transfer coefficient. The.The ratio j,/9, is plotted in Fig. 8 as a function oftotal recession based on mass loss (y,.), wherey. .m(tf - to). Figure 9 indicates that .)rm isconsistently greater than . , because of thedevelopment of an 8 mil (0.2 mm) deep, 50% void,porous region at the surface (Fig. 8). Assuming thatthe depth of this layer remains constant as recessioncontinues, then10m/s0 400 ppm4.6%6.5%0.30.30.603 400 ppm3.0%5.9%1.01yi/ y,/(y,,- 0.008 x 0.5)(3).a Measured dataCalculated by Eq. 3. assuming a porous1.9"llayerI 8 mils thickwithI 50% voidsI[I, 400 ppmCO 26.5%CO6.5%02Argon6.5%6.5%A000 9.2%Co210 m/s 16.6 m/s 20 m/sIVc"0*081.2I1--1.8Nominal velocity% HO2ER-11.71.6 1.51.41.3-2 0.6 -a a" U1.2 1.1ia.-.0*1020I1II3040500.42E'oa60LUEquivalent recession length, Yn, computedfrom mass loss rate, i m (mis)I02000Figure 9 - Ratio of equivalent ATJ graphite recession ratemeasured by mass loss method to that measured bythickness change.I30004000Surface temperature ( F)5000Figure 10 - Recession rate of ATJ graphite samples.23

THE JOHNS HOPKINS UNIVERSITYAPPUED PHYSICS LABORATORYLAUREL,MARYLANDnew quantityparameter, Y h,3is known asthe mass transfer8o:-h, 'h,(4)h,700Owherep density of virgin sample, andm mass loss rate per unit area.600 -In our experiment, h, is calculated from a formulation' for flow from a nozzle impinging on aninfinite flat plate:500h, 0.73b(Bg p ) 5(j p /p.)05/Pr 0 w(5)Nominal velocity1 mr/sILTwhereb blowingcorrection[ln (I 0')J/1(3'factor6.1 rn/sS400 B velocity gradient 1.5 Uax/d 2(s 'g gravitational constant (32.2 Ibm-300ft/lb f-s 2 )20-Pr The Prandtl number (cpj/k) ,ti. and , freestream and wall gas viscosities(I bf-s/ft 2) ,p.iooand p,, freestream and wall gas densities(lbm/ft')the velocity(ft/s) ,leavingthe2000nozzle3000ATJ qraphite surface temperature4000(OF)Figure 11 - Measured gas temperature at nozzle exitplane.d the nozzle diameter (ft) , andx the distance from the nozzle to thespecimen (ft) .leaves the nozzle exit plane at room temperature. Theactual velocity (U.) is estimated by multiplying thenominal velocity by T / Tro,,. One shouldremember, however, that T.0 is difficult to measureaccurately because the sample and heater surfacesradiate heat to the thermocouple, thereby introducing error. Although the thermocouple is shielded,the shielding method allows some reflected radiationto reach the thermocouple. Consequently, measuredtemperatures are higher than the actual gas tem-The freestream temperature (T) of the gas as itleaves the nozzle is difficult to measure, and p., u.,and U are all calculated from it. Because of heatfrom the boron nitride nozzle, T. can be substantially above room temperature. Late in the testseries, a radiation-shielded thermocouple was inserted along the nozzle axis to measure the T. of thegas at the nozzle exit. Those measurements were usedas a calibration to deduce the gas temperature for allof the ablation tests and for any specimen temperature and gas velocity. Figure I I shows T. versusATJ graphite surface temperature for several"nominal" air flow velocities calculated frommeasured gas mass flow rates, assuming the gasL. L. Perini, Reciew of Graphite Ablation Theory and ExperimentalData, .HU/AP! ANSP-M-1 (Dec 1971).I A. Belov. "The effect of Turbulence on Heal-Exchange in aJet Meetingan Obstacle," translated from TeploiMassoperenos(1969), British l ibrary lending Division.24

THE JOHNS HCPINS UNMERSTYAPPLIED PHYSICS LABORATORYLAUREL.MARYLAND"610 to 70OF is to reduce hi by 15%.The blowing correction factor (b) accounts for theablating combustion gases increasing the boundarylayer thickness and reducing the heat transfercoefficient. In the present tests, 0' is usually less than0.2; therefore, the blowing

R. W. Newman and C. H. Hoshall " N00024-83-C-5301 9. PERFORMING ORGANIZATION NAME & ADDRESS 10. PROGRAM ELEMENT, PROJECT, TASK AREA & WORK UNIT NUMBERS The Johns Hopkins University Applied Physics Laboratory Johns Hopkins Road Task X8GI Laurel, MD 2070

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