PHOTON USE p parphi msg TURBULENT ROUND JET msg msg Velocity vectors: vec x 1 sh msg - msg Pressto continue pause vec off;red msg Axial velocity contours: con wcrt x 1 fi; 0.01 msg - msg Press to continue pause con off;red msg Temperature contours: con temp x 1 fi;0.01 msg msg Press to continue pause con off;red msg eddy-viscosity (enut) contours: con enut x 1 fi;0.01 msg msg Press e to END enduse GROUP 1. Run title and other preliminaries TEXT(Round Jet;Mixing Length Model;Para TITLE mesg(PC486/50 time last reported as appx. 3.min. DISPLAY The axi-symmetrical turbulent jet in stagnant surroundings is considered. This becomes "self-similar" after an initial development length, with the centre-line velocity and temperature difference varying as the reciprocal of the longitudinal distance. In case 153, the Prandtl Mixing-Length model is used, with the mixing length proportional to the distance across the jet. In case 154, the Prandtl Energy model is used, with the same presumption about the length scale. In case 155, the k-epsilon model is used, so that no length-scale presumption is needed. A PHOTON USE file is supplied ENDDIS GXLEN and GXENUT are used for this case. The locally-defined variables are as follows: WJET Jet velocity at the inlet (m/s) REYNO Reynolds number DIAM The diameter of the jet nozzle (m) TJET The jet temperature at the inlet (C) TFREE The temperature of the free stream (C) The experimental data indicate velocity and temperature half-width spreading rates of 0.086 and 0.11, respectively, in the self- similar region of the jet. The present calculation predicts values of 0.083 and 0.099, respectively, which are in very good agreement with the experimental values. The sensitivity of the solution to grid-size may be assessed by increasing NY and reducing the forward step size DZW1 ( and consequently increasing NZ ). REAL(WJET,REYNO,DIAM,TJET,TFREE) REYNO=5.E5;DIAM=0.1;WJET=10.0;TJET=1.0;TFREE=0.0 GROUP 3. X-direction grid specification CARTES=F;XULAST=0.1 GROUP 4. Y-direction grid specification NY=20;YVLAST=DIAM;YFRAC(1)=-20;YFRAC(2)=1.0/20.0 *** Linear grid expansion of DYGDZ REAL(DYGDZ);DYGDZ=0.086*2.9 AZYV=1.0;ZWADD=DIAM/DYGDZ GROUP 5. Z-direction grid specification PARAB=T ** The change in z-direction step size is supplied in group 5 of GROUND by setting AZDZ=PROPY; the parameter, DZW1 is set in group 19 below for this purpose. NZ=100;AZDZ=PROPY GROUP 7. Variables stored, solved & named SOLVE(P1,V1,W1,H1);NAME(H1)=TEMP;STORE(ENUT,LEN1) GROUP 8. Terms (in differential equations) & devices DIFCUT=0.0;TERMS(TEMP,N,Y,Y,Y,Y,Y) GROUP 9. Properties of the medium (or media) ENUL=WJET*DIAM/REYNO;PRT(TEMP)=0.7 **Select formula for the length scale supplied in GXLEN by setting EL1=MIXLENJET, for which the parameters, EL1A, EL1C, EL2A, EL2B are set in group 19. EL1=MIXLENJET **Select Prandtl mixing-length formula supplied in GXENUT for the turbulent kinematic viscosity. ENUT=MIXLEN GROUP 13. Boundary conditions and special sources 1. Outer Boundary-- free stream PATCH(HIGHY,NORTH,1,1,NY,NY,1,NZ,1,1) COVAL(HIGHY,P1,1.0E4,0.0);COVAL(HIGHY,W1,ONLYMS,0.0) COVAL(HIGHY,V1,ONLYMS,0.0);COVAL(HIGHY,TEMP,ONLYMS,TFREE) 2. Inlet Boundary-- uniform flow PATCH(NOZZLE,LOW,1,1,1,NY/2,1,1,1,1) COVAL(NOZZLE,P1,FIXFLU,RHO1*WJET);COVAL(NOZZLE,W1,ONLYMS,WJET) COVAL(NOZZLE,TEMP,ONLYMS,TJET) GROUP 14. Downstream pressure for PARAB=T IPARAB=1 GROUP 16. Termination of iterations SELREF=T;RESFAC=1.E-2;LITHYD=25 GROUP 17. Under-relaxation devices RELAX(V1,FALSDT,10.0);RELAX(W1,FALSDT,10.0) RELAX(TEMP,FALSDT,10.0) GROUP 18. Limits on variables or increments to them VARMIN(V1)=-1.E3;VARMAX(V1)=1.E3 GROUP 19. Data communicated by SATELLITE to GROUND ** Parameter for grid expansion DZW1=0.1 ** Select strain-rate for use in Mixing-Length model DWDY=T ** EL1A = mixing-length constant for mixing-layer zone EL1B = '' '' '' for jet zone EL1C = velocity fraction for jet-width calculation EL1D = free-stream velocity for jet-width calculation EL1E = jet-discharge velocity ( mixing-length constant is switched from EL1A to EL1B, when centre-line velocity falls below EL1E ) EL1A=0.05;EL1B=0.075;EL1C=0.01;EL1D=0.0;EL1E=WJET GROUP 22. Monitor print-out IZMON=NZ/2;IYMON=NY/2;ITABL=1;NPLT=1;IPLTL=LITHYD TSTSWP=-5;NYPRIN=2 GROUP 23. Field print-out and plot control ORSIZ=0.4;PATCH(IZEQNZ,PROFIL,1,1,1,NY,NZ,NZ,1,1) PLOT(IZEQNZ,W1,0.0,0.0);PLOT(IZEQNZ,TEMP,0.0,0.0) PLOT(IZEQNZ,ENUT,0.0,0.0) NZPRIN=NZ GROUP 24. Dumps for restarts IDISPA=1