PHOTON USE
   AUTOPLOT
   file
   phi 5
 
   cl
   msg 1D U1 CORIOLIS/DIFFUSION TEST:RINNER>0
   msg Velocity (U1) profile
   msg Green line --- PHOENICS solution
   msg crosses ---   analytical solution
   da 1 u1;da 1 uana
   col9 1;blb4 2
 
   msg press  to end
   pause
   end
   END_USE
 
TEXT(1D U1 Coriolis/Diffusion Test:Rinner.gt.0
  DISPLAY
  
  The case considered is 1d radial laminar flow of a swirling
  fluid between two porous coaxial cylinders of radius RADI and
  RADO, the outer one of which is rotating with an angular velocity
  of OMEGO and the inner one with angular velocity OMEGI. This case
  provides, for NX = 1 and RINNER>0, a test of the U1 equation for:
  radial convection and diffusion; wall friction; and coriolis
  forces. The analytical solution for the tangential velocity is:
  U=A/R+B*R**(1.+REYM) where the Reynolds number REYM=VIN*RADI/ENUL
  and the constants A and B are given by: B=(OMEGI*RADI**2-OMEGO*
  RADO**2)/(RADI**(2.+REYM)-RADO**(2.+REYM) and A=OMEGI*RADI**2-B*
  RADI**(2.+REYM).
  
  ENDDIS
REAL(GRADI,GRADO,OMEGI,GAP,ALFA,BETA,AA,BB,CC,GRADI2,GR,UA,PI)
REAL(QFLOW,OMEGO,REYM,GGAM,FLOWIN,VIN);INTEGER(JJM1)
  ** REYM = VIN*GRADI/ENUL i.e. Reynolds number
  ** BETA = GRADI/GRADO  ALFA = OMEGO/OMEGI
REYM=50.0;ALFA=2.0;BETA=0.5;PI=3.14159265;GRADI=1.0
GRADO=GRADI/BETA;OMEGI=10.*PI;OMEGO=ALFA*OMEGI;GAP=GRADO-GRADI
    GROUP 3. X-direction grid specification
CARTES=F;XULAST=1.0
    GROUP 4. Y-direction grid specification
NY=20;RINNER=GRADI;GRDPWR(Y,NY,GAP,0.7)
    GROUP 7. Variables stored, solved & named
SOLVE(P1,V1,U1);STORE(UANA)
    GROUP 9. Properties of the medium (or media)
RHO1=1.0;ENUL=1./RHO1;QFLOW=REYM*ENUL
VIN=QFLOW/GRADI;FLOWIN=RHO1*VIN
    GROUP 11. Initialization of variable or porosity fields
IURINI=-1;FIINIT(U1)=OMEGI
  ** compute analytical solutions
GGAM=1.+REYM;CC=GGAM+1.;GRADI2=GRADI*GRADI
BB=(OMEGI*GRADI2-OMEGO*GRADO*GRADO)/(GRADI**CC-GRADO**CC)
AA=OMEGI*GRADI2-BB*GRADI**CC
DO JJ=1,NY
+PATCH(IN:JJ:,INIVAL,1,NX,JJ,JJ,1,NZ,1,1)
+GR=0.5*YFRAC(JJ)
IF(JJ.NE.1) THEN
+JJM1=JJ-1
+GR=YFRAC(JJM1)+0.5*(YFRAC(JJ)-YFRAC(JJM1))
ENDIF
+GR=GR*GAP+GRADI;UA=AA/GR+BB*GR**GGAM
+INIT(IN:JJ:,UANA,ZERO,UA)
ENDDO
    GROUP 13. Boundary conditions and special sources
PATCH(INLET,SOUTH,1,NX,1,1,1,NZ,1,1)
COVAL(INLET,P1,FIXFLU,FLOWIN);COVAL(INLET,V1,ONLYMS,VIN)
COVAL(INLET,U1,ONLYMS,OMEGI*GRADI)
PATCH(OUTLET,NORTH,1,NX,NY,NY,1,NZ,1,1)
COVAL(OUTLET,P1,FIXP,0.0)
PATCH(INNER,SWALL,1,NX,1,1,1,NZ,1,1)
COVAL(INNER,U1,1.0,OMEGI*GRADI)
PATCH(OUTER,NWALL,1,NX,NY,NY,1,NZ,1,1)
COVAL(OUTER,U1,1.0,OMEGO*GRADO)
    GROUPS 14 to 24
LSWEEP=25;IYMON=7;NYPRIN=1;NPRINT=LSWEEP;NPLT=5
IPLTL=LSWEEP;TSTSWP=12345