TALK=T;RUN(1,1) PHOTON USE AUTOPLOT file phi 5 da 1 au1 screen msg gas velocity pl 1 msg pressto continue pause cl da 1 bu2 screen msg liquid velocity pl 1 msg press to continue pause cl da 1 liq screen msg liquid volume fraction pl 1 msg press to continue pause cl da 1 shad screen msg 'shadow' volume fraction of denser phase pl 1 msg press e to END enduse DISPLAY The problem considered is that of the injection of monopropellant droplets through small holes in one end of a rocket motor. These droplets burn (i.e undergo a phase change involving the dis- appearance of high-density liquid and its replacement by low- density gas), at a rate dependent upon the droplet diameter. As a consequence, a pressure gradient is set up which accelerates the gas and, to a lesser extent, the liquid. Friction between the droplets and the gas causes the former at first to deccelerate and later a accelerate. The main task is to compute the distance from the injector at which the propellant is fully consumed, as functions: of the injection velocity, of the propellant and combustion-product properties, and of a measure of the relative speed of momentum and heat transfer. ENDDIS ************************************************************ Group 1. Run Title and Number ************************************************************ ************************************************************ TEXT(MONOPROPELLANT ROCKET : W890) ************************************************************ ************************************************************ IRUNN = 1 ;LIBREF = 14 ************************************************************ Group 2. Time dependence STEADY = T ************************************************************ Group 3. X-Direction Grid Spacing CARTES = T NX = 100 XULAST =1. XFRAC(1)=1.0E-02 ;XFRAC(6)=0.06 XFRAC(11)=0.11 ;XFRAC(16)=0.16 XFRAC(21)=0.21 ;XFRAC(26)=0.26 XFRAC(31)=0.31 ;XFRAC(36)=0.36 XFRAC(41)=0.41 ;XFRAC(46)=0.46 XFRAC(51)=0.51 ;XFRAC(56)=0.56 XFRAC(61)=0.61 ;XFRAC(66)=0.66 XFRAC(71)=0.71 ;XFRAC(76)=0.76 XFRAC(81)=0.81 ;XFRAC(86)=0.86 XFRAC(91)=0.91 ;XFRAC(96)=0.96 ************************************************************ Group 4. Y-Direction Grid Spacing NY = 1 YVLAST =1. YFRAC(1)=1. ************************************************************ Group 5. Z-Direction Grid Spacing PARAB = F NZ = 1 ZWLAST =1. ZFRAC(1)=1. ************************************************************ Group 6. Body-Fitted Coordinates ************************************************************ Group 7. Variables: STOREd,SOLVEd,NAMEd ONEPHS = F EQUVEL = F NAME(1)=P1 ;NAME(3)=AU1 NAME(4)=BU2 ;NAME(9)=GAS NAME(10)=LIQ ;NAME(11)=SHAD NAME(149)=CFIP ;NAME(150)=MDOT * Y in SOLUTN argument list denotes: * 1-stored 2-solved 3-whole-field * 4-point-by-point 5-explicit 6-harmonic averaging SOLUTN(P1,Y,Y,N,N,N,Y) SOLUTN(AU1,Y,Y,N,N,N,Y) SOLUTN(BU2,Y,Y,N,N,N,Y) SOLUTN(LIQ,Y,Y,N,N,N,Y) SOLUTN(SHAD,Y,Y,N,N,N,Y) SOLUTN(CFIP,Y,N,N,N,N,Y) SOLUTN(MDOT,Y,N,N,N,N,Y) INTMDT = 150 ************************************************************ Group 8. Terms & Devices * Y in TERMS argument list denotes: * 1-built-in source 2-convection 3-diffusion 4-transient * 5-first phase variable 6-interphase transport TERMS(P1,Y,Y,Y,N,Y,Y) TERMS(AU1,Y,Y,N,Y,Y,Y) TERMS(BU2,Y,Y,N,Y,N,Y) TERMS(LIQ,Y,Y,N,Y,N,Y) TERMS(SHAD,Y,Y,N,Y,N,Y) DIFCUT =0.5 ;ZDIFAC =1. GALA = F ;ADDDIF = F EQDVDP = F ISOLX = -1 ;ISOLY = -1 ;ISOLZ = -1 ************************************************************ Group 9. Properties used if PRPS is not stored, and where PRPS = -1.0 if it is! RHO1 =10. ;TMP1 =0. ;EL1 =0. TSURR =0. ;TEMP0 =0. ;PRESS0 =1.0E+07 DVO1DT =0. ;DRH1DP =0. EMISS =0. ;SCATT =0. RADIA =0. ;RADIB =0. RHO2 =1.0E+04 ;TMP2 =0. ;EL2 =0. DVO2DT =0. ;DRH2DP =0. ENUL =1.0E-05 ;ENUT =0. PHINT(AU1)=-2.022E+04 ;PHINT(BU2)=-2.022E+04 PHINT(LIQ)=-2.022E+04 ;PHINT(SHAD)=-2.022E+04 CP1 =1. ;CP2 =1. ************************************************************ Group 10.Inter-Phase Transfer Processes CFIPS = GRND1 RLOLIM =0. ;CMDOT =1. CFIPA =0. ;CFIPB =0. CFIPC =1.0E+05 ;CFIPD =0. CINT(P1)=1. ;CINT(AU1)=1. CINT(BU2)=1. ;CINT(LIQ)=1. CINT(SHAD)=1. PHINT(P1)=-2.022E+04 ;PHINT(AU1)=-2.022E+04 PHINT(BU2)=-2.022E+04 ;PHINT(LIQ)=-2.022E+04 PHINT(SHAD)=-2.022E+04 ************************************************************ Group 11.Initial field variables (PHIs) FIINIT(P1)=1.0E-10 ;FIINIT(AU1)=50. FIINIT(BU2)=50. ;FIINIT(GAS)=0.999 FIINIT(LIQ)=1.0E-03 ;FIINIT(SHAD)=1.0E-03 FIINIT(CFIP)=1.0E-10 ;FIINIT(MDOT)=10. No PATCHes yet used for this Group INIADD = F FSWEEP = 1 NAMFI =CHAM ************************************************************ Group 12. Patchwise adjustment of terms Patches for this group are printed with those for Group 13. Their names begin either with GP12 or & ************************************************************ Group 13. Boundary & Special Sources PATCH(INLET ,WEST , 1, 1, 1, 1, 1, 1, 1, 1) COVAL(INLET ,AU1 ,0. ,0. ) COVAL(INLET ,BU2 ,0. ,50. ) COVAL(INLET ,GAS , FIXFLU ,0. ) COVAL(INLET ,LIQ , FIXFLU ,1000. ) PATCH(OUTLET ,CELL , 100, 100, 1, 1, 1, 1, 1, 1) COVAL(OUTLET ,AU1 ,0. ,0. ) COVAL(OUTLET ,BU2 ,0. ,0. ) COVAL(OUTLET ,GAS ,1. ,0. ) COVAL(OUTLET ,LIQ ,1000. ,0. ) XCYCLE = F EGWF = T WALLCO = GRND2 ************************************************************ Group 14. Downstream Pressure For PARAB ************************************************************ Group 15. Terminate Sweeps LSWEEP = 200 ;ISWC1 = 1 LITHYD = 1 ;LITFLX = 1 ;LITC = 1 ;ITHC1 = 1 ISWR1 = 1 ;ISWR2 = 10000 SELREF = T RESFAC =1.0E-05 ************************************************************ Group 16. Terminate Iterations LITER(P1)=20 ;LITER(AU1)=10 LITER(BU2)=10 ;LITER(LIQ)=1 LITER(SHAD)=1 ENDIT(P1)=1.0E-03 ;ENDIT(AU1)=1.0E-03 ENDIT(BU2)=1.0E-03 ;ENDIT(LIQ)=1.0E-03 ENDIT(SHAD)=1.0E-03 ************************************************************ Group 17. Relaxation RELAX(P1,LINRLX,1.) RELAX(AU1,FALSDT,0.02) RELAX(BU2,FALSDT,0.02) RELAX(GAS,LINRLX,1.) RELAX(LIQ,LINRLX,0.6) RELAX(SHAD,LINRLX,0.6) RELAX(CFIP,LINRLX,1.) RELAX(MDOT,LINRLX,1.) OVRRLX =0. EXPERT = F ;NNORSL = F ************************************************************ Group 18. Limits VARMAX(P1)=1.0E+10 ;VARMIN(P1)=-1.0E+10 VARMAX(AU1)=1.0E+06 ;VARMIN(AU1)=-1.0E+06 VARMAX(BU2)=1.0E+06 ;VARMIN(BU2)=-1.0E+06 VARMAX(GAS)=1. ;VARMIN(GAS)=1.0E-06 VARMAX(LIQ)=1. ;VARMIN(LIQ)=1.0E-06 VARMAX(SHAD)=1. ;VARMIN(SHAD)=1.0E-06 VARMAX(CFIP)=1.0E+10 ;VARMIN(CFIP)=-1.0E+10 VARMAX(MDOT)=1.0E+10 ;VARMIN(MDOT)=-1.0E+10 ************************************************************ Group 19. Data transmitted to GROUND PRTSIZ = T PARSOL = F ISG62 = 1 SPEDAT(SET,GXMONI,PLOTALL,L,T) ************************************************************ Group 20. Preliminary Printout ************************************************************ Group 21. Print-out of Variables INIFLD = F ;SUBWGR = F * Y in OUTPUT argument list denotes: * 1-field 2-correction-eq. monitor 3-selective dumping * 4-whole-field residual 5-spot-value table 6-residual table OUTPUT(P1,Y,N,Y,Y,Y,Y) OUTPUT(AU1,Y,N,Y,Y,Y,Y) OUTPUT(BU2,Y,N,Y,Y,Y,Y) OUTPUT(GAS,N,N,N,N,N,N) OUTPUT(LIQ,Y,N,Y,Y,Y,Y) OUTPUT(SHAD,Y,N,Y,Y,Y,Y) OUTPUT(CFIP,Y,N,Y,N,N,N) OUTPUT(MDOT,Y,Y,Y,Y,Y,Y) ************************************************************ Group 22. Monitor Print-Out IXMON = 50 ;IYMON = 1 ;IZMON = 1 NPRMON = 100000 ;NPRMNT = 1 ;TSTSWP = -1 UWATCH = T ;USTEER = T HIGHLO = F ************************************************************ Group 23.Field Print-Out & Plot Control NPRINT = 100000 ;NUMCLS = 5 NXPRIN = 5 ;IXPRF = 1 ;IXPRL = 10000 IPLTF = 1 ;IPLTL = -1 ;NPLT = 1 ISWPRF = 1 ;ISWPRL = 100000 ITABL = 1 ;IPROF = 1 ABSIZ =0.5 ;ORSIZ =0.4 NTZPRF = 1 ;NCOLPF = 50 ICHR = 2 ;NCOLCO = 45 ;NROWCO = 20 PATCH(XPROFILE,PROFIL, 1, 100, 1, 1, 1, 1, 1, 1) PLOT(XPROFILE,AU1 ,-1. ,-1. ) PLOT(XPROFILE,BU2 ,-1. ,-1. ) PLOT(XPROFILE,LIQ ,0. ,0. ) PLOT(XPROFILE,SHAD,0. ,0. ) PATCH(XPROFIL2,PROFIL, 1, 100, 1, 1, 1, 1, 1, 1) PLOT(XPROFIL2,CFIP,0. ,0. ) PLOT(XPROFIL2,MDOT,0. ,0. ) ************************************************************ Group 24. Dumps For Restarts SAVE = T ;NOWIPE = F NSAVE =CHAM STOP