PHOTON USE p;; 10 1;;; set prop off;vi -x msg temperature contours and velocity vectors msg Note that the y-scale has been magnified 10 times con tem1 x 1 fi;0.001 vec x 1 ENDUSE GROUP 1. Run title and other preliminaries TEXT(Water In A Heated Aluminium Pipe TITLE DISPLAY Water flows steadily through a thick-walled aluminium pipe. A constant heat flux is prescribed at the outer wall, while uniform temperature and velocity profiles are prescribed at the pipe inlet. Thick metal pipe wall | ^ .-----.-------------------------. | /***.-.***\ \ |r /**/ \**\ \ Fixed | |**|---> |**| |-> mass flux |**|---> |**| |-> at pipe \**\ /**/ / inlet \***`-'***/ / boundary `-----'-------------------------' | z----> Fixed heat flux at outer surface ENDDIS The locally-defined variables are: WIN Inlet velocity. TIN Inlet temperature HEATFLUX Heat flux at outer wall INTDIAM Internal diameter EXTDIAM External diameter PIPELENGTH Pipe length REAL(WIN, TIN, HEATFLUX, INTDIAM, EXTDIAM, PIPELENGTH) WIN=0.1; TIN=20.0; HEATFLUX=1000. INTDIAM= 0.02; EXTDIAM= 0.03; PIPELENGTH= 0.3 NY=30; NZ=20 GROUP 3. X-direction grid specification CARTES=F; XULAST=0.01 GROUP 4. Y-direction grid specification INTEGER(IYMET, IYWAT); IYMET=2*NY/3 + 1; IYWAT=IYMET-1 REAL(THICKNESS,NWAT,NMET); THICKNESS = 0.5*(EXTDIAM - INTDIAM) NWAT=IYWAT; NMET= NY-IYWAT YVLAST = EXTDIAM*0.5 YFRAC(1)=-NWAT; YFRAC(2)=INTDIAM/(NWAT*EXTDIAM) YFRAC(3)=NMET; YFRAC(4)=THICKNESS/(NMET*EXTDIAM) GROUP 5. Z-direction grid specification GRDPWR(Z,NZ,PIPELENGTH,1.0) GROUP 7. Variables stored, solved & named #solvel #soltem GROUP 9. Properties of the medium (or media) #use_props :fluid:=water20 GROUP 11. Initialization of variable or porosity fields FIINIT(W1)=WIN; INIADD=F PATCH(METAL,INIVAL,1,1,IYMET,NY,1,NZ,1,1) COVAL(METAL,PRPS,0.0,ALUMINIUM) GROUP 13. Boundary conditions and special sources ** Uniform temperature and velocity at pipe inlet PATCH(IN,LOW,1,1,1,IYWAT,1,1,1,1) COVAL(IN,P1,FIXFLU,1000.0*WIN); COVAL(IN,W1,ONLYMS,WIN) COVAL(IN,TEM1,ONLYMS,TIN) ** Outer pipe wall: uniform heat flux PATCH(OUTER,NORTH,1,1,NY,NY,1,NZ,1,1) COVAL(OUTER,TEM1,FIXFLU,HEATFLUX) ** Exit condition on water pressure PATCH(EXIT,HIGH,1,1,1,IYWAT,NZ,NZ,1,1) COVAL(EXIT,P1,FIXVAL,0.0) GROUP 15. Termination of sweeps LSWEEP=200 GROUP 17. Under-relaxation devices RELAX(V1,FALSDT,ZWLAST/WIN);RELAX(W1,FALSDT,ZWLAST/WIN) GROUP 22. Spot-value print-out IYMON=IYWAT-1; IZMON=NZ-1; TSTSWP=-1 GROUP 23. Field print-out and plot control line-printer plots PATCH(OUTSIDE,PROFIL,1,1,NY,NY,1,NZ,1,1) COVAL(OUTSIDE,TEM1,0.0,0.0) PATCH(WNEARM,PROFIL,1,1,IYWAT,IYWAT,1,NZ,1,1) COVAL(WNEARM,W1,0.0,0.0); COVAL(WNEARM,TEM1,0.0,0.0) PATCH(NEAREND,PROFIL,1,1,1,NY,NZ-1,NZ-1,1,1) COVAL(NEAREND,W1,0.0,0.0); COVAL(NEAREND,TEM1,0.0,0.0)