```
TALK=T;RUN(1,1)
PHOTON USE
AUTOPLOT
file
phi 5

cl
msg POWER-LAW-FLUID LAMINAR PIPE FLOW
msg Reynolds number = 10 Power index = 0.5
msg Velocity (W1) profile
msg Blue line --- PHOENICS solution
msg crosses ---   analytical solution
da 1 w1;da 1 w1a
col3 1;blb4 2
msg press  to continue
pause

msg press  to end
pause
end
END_USE
DISPLAY
The problem concerns the steady fully-developed laminar flow of
a power-law pseudo-plastic non-Newtonian fluid. The apparent
viscosity of such a fluid is given by:

enul = K*[(dw/dy)**(n-1.)]/rho

so that enul decreases with increasing shear rate. Here, K is
the fluid consistency index and n the flow-behaviour index.
Examples of pseudo-plastic fluids include rubber solutions,
adhesives, polymer solutions or melts, and biological fluids.
ENDDIS
************************************************************
Group 1. Run Title and Number
************************************************************
************************************************************

TEXT(Power-Law Fluid FD Lam Pipe Flow        )

************************************************************
************************************************************

IRUNN = 1 ;LIBREF = 14
************************************************************
Group 2. Time dependence
************************************************************
Group 3. X-Direction Grid Spacing
CARTES = F
NX = 1
XULAST =1.
XFRAC(1)=1.
************************************************************
Group 4. Y-Direction Grid Spacing
NY = 20
YVLAST =0.1
YFRAC(1)=0.05 ;YFRAC(2)=0.1
YFRAC(3)=0.15 ;YFRAC(4)=0.2
YFRAC(5)=0.25 ;YFRAC(6)=0.3
YFRAC(7)=0.35 ;YFRAC(8)=0.4
YFRAC(9)=0.45 ;YFRAC(10)=0.5
YFRAC(11)=0.55 ;YFRAC(12)=0.6
YFRAC(13)=0.65 ;YFRAC(14)=0.7
YFRAC(15)=0.75 ;YFRAC(16)=0.8
YFRAC(17)=0.85 ;YFRAC(18)=0.9
YFRAC(19)=0.95 ;YFRAC(20)=1.
************************************************************
Group 5. Z-Direction Grid Spacing
PARAB = F
NZ = 1
ZWLAST =0.1
ZFRAC(1)=1.
************************************************************
Group 6. Body-Fitted Coordinates
************************************************************
Group 7. Variables: STOREd,SOLVEd,NAMEd
ONEPHS = T
NAME(7)=W1 ;NAME(149)=VISL
NAME(150)=W1A
* Y in SOLUTN argument list denotes:
* 1-stored 2-solved 3-whole-field
* 4-point-by-point 5-explicit 6-harmonic averaging
SOLUTN(W1,Y,Y,N,N,N,Y)
SOLUTN(VISL,Y,N,N,N,N,Y)
SOLUTN(W1A,Y,N,N,N,N,Y)
VISL = 149
************************************************************
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(W1,N,N,Y,Y,Y,Y)
DIFCUT =0.5 ;ZDIFAC =1.
GALA = F ;ADDDIF = F
NEWENL = T
USOURC = T
ISOLX = -1 ;ISOLY = -1 ;ISOLZ = -1
************************************************************
Group 9. Properties used if PRPS is not
stored, and where PRPS = -1.0 if it is!
RHO1 =1. ;TMP1 =0.
EL1 =0.
TSURR =0. ;TEMP0 =0.
PRESS0 =0.
DVO1DT =0. ;DRH1DP =0.
EMISS =0. ;SCATT =0.
ENUL = GRND4 ;ENUT =0.
ENULA =0.044721 ;ENULB =0.5
ENULC =0.
PRNDTL(W1)=1.
PRT(W1)=1.
CP1 =1. ;CP2 =1.
*  List of user-defined materials to be read by EARTH
MATFLG=T;IMAT=1
*  Name
*Ind. Dens.  Viscos.  Spec.heat  Conduct.  Expans.  Compr.
*
33 1. GRND4 1. 1. 0
*       constants for GRND option no 1
0.04472 0.5
************************************************************
Group 10.Inter-Phase Transfer Processes
************************************************************
Group 11.Initial field variables (PHIs)
FIINIT(W1)=1. ;FIINIT(VISL)=1.0E-10
FIINIT(W1A)=1.0E-10

PATCH(IN1 ,INIVAL, 1, 1, 1, 1, 1, 1, 1, 1)
INIT(IN1 ,W1A ,0. ,1.666641 )

PATCH(IN2 ,INIVAL, 1, 1, 2, 2, 1, 1, 1, 1)
INIT(IN2 ,W1A ,0. ,1.665964 )

PATCH(IN3 ,INIVAL, 1, 1, 3, 3, 1, 1, 1, 1)
INIT(IN3 ,W1A ,0. ,1.663411 )

PATCH(IN4 ,INIVAL, 1, 1, 4, 4, 1, 1, 1, 1)
INIT(IN4 ,W1A ,0. ,1.657734 )

PATCH(IN5 ,INIVAL, 1, 1, 5, 5, 1, 1, 1, 1)
INIT(IN5 ,W1A ,0. ,1.647682 )

PATCH(IN6 ,INIVAL, 1, 1, 6, 6, 1, 1, 1, 1)
INIT(IN6 ,W1A ,0. ,1.632005 )

PATCH(IN7 ,INIVAL, 1, 1, 7, 7, 1, 1, 1, 1)
INIT(IN7 ,W1A ,0. ,1.609453 )

PATCH(IN8 ,INIVAL, 1, 1, 8, 8, 1, 1, 1, 1)
INIT(IN8 ,W1A ,0. ,1.578776 )

PATCH(IN9 ,INIVAL, 1, 1, 9, 9, 1, 1, 1, 1)
INIT(IN9 ,W1A ,0. ,1.538724 )

PATCH(IN10 ,INIVAL, 1, 1, 10, 10, 1, 1, 1, 1)
INIT(IN10 ,W1A ,0. ,1.488047 )

PATCH(IN11 ,INIVAL, 1, 1, 11, 11, 1, 1, 1, 1)
INIT(IN11 ,W1A ,0. ,1.425495 )

PATCH(IN12 ,INIVAL, 1, 1, 12, 12, 1, 1, 1, 1)
INIT(IN12 ,W1A ,0. ,1.349818 )

PATCH(IN13 ,INIVAL, 1, 1, 13, 13, 1, 1, 1, 1)
INIT(IN13 ,W1A ,0. ,1.259766 )

PATCH(IN14 ,INIVAL, 1, 1, 14, 14, 1, 1, 1, 1)
INIT(IN14 ,W1A ,0. ,1.154089 )

PATCH(IN15 ,INIVAL, 1, 1, 15, 15, 1, 1, 1, 1)
INIT(IN15 ,W1A ,0. ,1.031536 )

PATCH(IN16 ,INIVAL, 1, 1, 16, 16, 1, 1, 1, 1)
INIT(IN16 ,W1A ,0. ,0.890859 )

PATCH(IN17 ,INIVAL, 1, 1, 17, 17, 1, 1, 1, 1)
INIT(IN17 ,W1A ,0. ,0.730807 )

PATCH(IN18 ,INIVAL, 1, 1, 18, 18, 1, 1, 1, 1)
INIT(IN18 ,W1A ,0. ,0.55013 )

PATCH(IN19 ,INIVAL, 1, 1, 19, 19, 1, 1, 1, 1)
INIT(IN19 ,W1A ,0. ,0.347578 )

PATCH(IN20 ,INIVAL, 1, 1, 20, 20, 1, 1, 1, 1)
INIT(IN20 ,W1A ,0. ,0.121901 )
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(WALL ,NWALL , 1, 1, 20, 20, 1, 1, 1, 1)
COVAL(WALL ,W1 ,1. ,0. )

PATCH(FDFW1DP ,VOLUME, 1, 1, 1, 20, 1, 1, 1, 1)
COVAL(FDFW1DP ,W1 ,5.0E-03 , GRND1 )
XCYCLE = F
EGWF = T
WALLCO = GRND2
************************************************************
Group 14. Downstream Pressure For PARAB
************************************************************
Group 15. Terminate Sweeps
LSWEEP = 8 ;ISWC1 = 1
LITHYD = 10 ;LITFLX = 1 ;LITC = 1 ;ITHC1 = 1
SELREF = T
RESFAC =1.0E-04
************************************************************
Group 16. Terminate Iterations
LITER(W1)=10
ENDIT(W1)=1.0E-03
************************************************************
Group 17. Relaxation
RELAX(W1,FALSDT,0.055902)
RELAX(VISL,LINRLX,1.)
RELAX(W1A,LINRLX,1.)
OVRRLX =0.
EXPERT = F ;NNORSL = F
************************************************************
Group 18. Limits
VARMAX(W1)=1.0E+06 ;VARMIN(W1)=-1.0E+06
VARMAX(VISL)=1.0E+10 ;VARMIN(VISL)=-1.0E+10
VARMAX(W1A)=1.0E+10 ;VARMIN(W1A)=-1.0E+10
************************************************************
Group 19. Data transmitted to GROUND
DWDY = T
FDFSOL = T
PARSOL = F
ISG62 = 1
************************************************************
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(W1,Y,N,Y,Y,Y,Y)
OUTPUT(VISL,Y,N,Y,N,N,N)
OUTPUT(W1A,Y,N,Y,N,N,N)
************************************************************
Group 22. Monitor Print-Out
IXMON = 1 ;IYMON = 20 ;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
NYPRIN = 1 ;IYPRF = 1 ;IYPRL = 10000
IPLTF = 1 ;IPLTL = -1 ;NPLT = 1
ISWPRF = 1 ;ISWPRL = 100000
ITABL = 3 ;IPROF = 1
ABSIZ =0.5 ;ORSIZ =0.4
NTZPRF = 1 ;NCOLPF = 50
ICHR = 2 ;NCOLCO = 45 ;NROWCO = 20
No PATCHes yet used for this Group
************************************************************
Group 24. Dumps For Restarts
SAVE = T ;NOWIPE = F
NSAVE =CHAM
STOP
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