PHOTON USE p msg Numerical solution velocity contours con U Z 1 fi;0.001 msg Press Enter to continue PAUSE CLEAR con UEXC Z 1 fi;0.001 msg Exact solution velocity contours msg Press e to END ENDUSE GROUP 1. Run title and other preliminaries DISPLAY The non-isothermal Coette flow with exponentially temperature dependent viscosity has an exact solution published in Numerical Heat Transfer, vol. 13, p. 272, 1988. PLANT is used to perform the codings for out-put preparations and to introduce the linear temperature distribution. The alternative is to initialise the latter inserting PLANT instructions in Group 11. ENDDIS TEXT( NON-ISOTHERMAL COUETTE FLOW:113 NX=10;NY=2 GROUP 3. X-direction grid specification GRDPWR(X,NX,1.,1.0) GROUP 4. Y-direction grid specification GRDPWR(Y,NY,2.,1.0) GROUP 7. Variables stored, solved & named SOLVE(U,TEMP);STORE(UEXC,TEMP) GROUP 8. Terms (in differential equations) & devices TERMS(U,N,N,Y,P,P,P) GROUP 9. Properties of the medium (or media) RHO1=1.0 ENUL=GRND PLANTBEGINVISL=EXP(-1.*TEMP) UEXC=(EXP(1.)+1.)/(EXP(1.)-1.)*(EXP(XG2D)-1.)-$ XG2D*EXP(XG2D) TEMP=XG2D PLANTEND GROUP 13. Boundary conditions and special sources PATCH(DIFWES,WWALL,1,1,1,NY,1,NZ,1,LSTEP) COVAL(DIFWES,U,1./PRNDTL(U),0.0) PATCH(DIFEAS,EWALL,NX,NX,1,NY,1,NZ,1,LSTEP) COVAL(DIFEAS,U,1./PRNDTL(U),1.0) PATCH(DPDX,NORTH,1,NX,1,NY,1,NZ,1,LSTEP) COVAL(DPDX,U,FIXFLU,1.) GROUP 15. Termination of sweeps LSWEEP=20 GROUP 19. NAMSAT=MOSG GROUP 20. Preliminary print-out GROUP 23. Field print-out and plot control tstswp=-1 dmpstk=t DISTIL=T EX(UEXC)=5.546E-01; EX(TEMP)=5.000E-01; EX(U )=5.580E-01 LIBREF=113 STOP