```
TALK=T;RUN(1,1)
photon use
p
parphi
20 1

msg radial (ie vertical) scale has been enlarged 20-fold
msg velocity vectors
vec x 1 sh;pause;vec off;red
msg effective-viscosity contours
con enut x 1 fi;0.1;pause;con off;red
msg w1 contours
con w1 x 1 fi;0.1;pause;con off;red
msg temperature contours
con temperature x 1 fi;0.1;pause;con off;red
enduse
DISPLAY
The problem considered is turbulent flow in a smooth-walled pipe,
with a wall temperature at a uniform value below that of the
entering fluid.
The calculation is continued to a distance of 30 diameters from
the entrance, to enable the velocity and temperature profiles to
attain unchanging shapes.
The Prandtl mixing-length model is used, with Nikuradze's formula
for the length scale:
2(Lm/D) = 0.14 - 0.08(2y/D)**2 - 0.06(2y/D)**4
where y is the normal distance from the channel wall.

Wall at temperature TWALL
/////////////////////////////////////////////////////
Constant   -----------------------------------------------------
specified --->                                               ->
mass-flux,--->                                               -->
velocity  --->                                               --->
and        - - - - - - - - - - -Symmetry line- - - - - - - - - -
temperature ^
|-------> z-direction
ENDDIS
************************************************************
Group 1. Run Title and Number
************************************************************
************************************************************

TEXT(Pipe Flow M-Length Turb Model;Para      )

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

IRUNN = 1 ;LIBREF = 14
************************************************************
Group 2. Time dependence
************************************************************
Group 3. X-Direction Grid Spacing
CARTES = F
NX = 1
XULAST =0.1
XFRAC(1)=1.
************************************************************
Group 4. Y-Direction Grid Spacing
NY = 30
YVLAST =0.5
YFRAC(1)=0.078012 ;YFRAC(2)=0.131199
YFRAC(3)=0.177828 ;YFRAC(4)=0.22065
YFRAC(5)=0.260847 ;YFRAC(6)=0.29907
YFRAC(7)=0.335724 ;YFRAC(8)=0.371088
YFRAC(9)=0.40536 ;YFRAC(10)=0.438691
YFRAC(11)=0.471198 ;YFRAC(12)=0.502973
YFRAC(13)=0.534093 ;YFRAC(14)=0.564618
YFRAC(15)=0.594604 ;YFRAC(16)=0.624093
YFRAC(17)=0.653124 ;YFRAC(18)=0.681732
YFRAC(19)=0.709944 ;YFRAC(20)=0.737788
YFRAC(21)=0.765286 ;YFRAC(22)=0.792458
YFRAC(23)=0.819323 ;YFRAC(24)=0.845897
YFRAC(25)=0.872196 ;YFRAC(26)=0.898233
YFRAC(27)=0.924021 ;YFRAC(28)=0.949571
YFRAC(29)=0.974894 ;YFRAC(30)=1.
************************************************************
Group 5. Z-Direction Grid Spacing
PARAB = T
NZ = 40
ZWLAST =30.
ZFRAC(1)=0.025 ;ZFRAC(2)=0.05
ZFRAC(3)=0.075 ;ZFRAC(4)=0.1
ZFRAC(5)=0.125 ;ZFRAC(6)=0.15
ZFRAC(7)=0.175 ;ZFRAC(8)=0.2
ZFRAC(9)=0.225 ;ZFRAC(10)=0.25
ZFRAC(11)=0.275 ;ZFRAC(12)=0.3
ZFRAC(13)=0.325 ;ZFRAC(14)=0.35
ZFRAC(15)=0.375 ;ZFRAC(16)=0.4
ZFRAC(17)=0.425 ;ZFRAC(18)=0.45
ZFRAC(19)=0.475 ;ZFRAC(20)=0.5
ZFRAC(21)=0.525 ;ZFRAC(22)=0.55
ZFRAC(23)=0.575 ;ZFRAC(24)=0.6
ZFRAC(25)=0.625 ;ZFRAC(26)=0.65
ZFRAC(27)=0.675 ;ZFRAC(28)=0.7
ZFRAC(29)=0.725 ;ZFRAC(30)=0.75
ZFRAC(31)=0.775 ;ZFRAC(32)=0.8
ZFRAC(33)=0.825 ;ZFRAC(34)=0.85
ZFRAC(35)=0.875 ;ZFRAC(36)=0.9
ZFRAC(37)=0.925 ;ZFRAC(38)=0.95
ZFRAC(39)=0.975 ;ZFRAC(40)=1.
************************************************************
Group 6. Body-Fitted Coordinates
************************************************************
Group 7. Variables: STOREd,SOLVEd,NAMEd
ONEPHS = T
NAME(1)=P1 ;NAME(5)=V1
NAME(7)=W1 ;NAME(14)=TEMP
NAME(149)=LEN1 ;NAME(150)=ENUT
* Y in SOLUTN argument list denotes:
* 1-stored 2-solved 3-whole-field
* 4-point-by-point 5-explicit 6-harmonic averaging
SOLUTN(P1,Y,Y,N,N,N,Y)
SOLUTN(V1,Y,Y,N,N,N,Y)
SOLUTN(W1,Y,Y,N,N,N,Y)
SOLUTN(TEMP,Y,Y,N,N,N,Y)
SOLUTN(LEN1,Y,N,N,N,N,Y)
SOLUTN(ENUT,Y,N,N,N,N,Y)
VIST = 150
LEN1 = 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(P1,Y,Y,Y,N,Y,Y)
TERMS(V1,Y,Y,Y,Y,Y,Y)
TERMS(W1,Y,Y,Y,Y,Y,Y)
TERMS(TEMP,N,Y,Y,Y,Y,Y)
DIFCUT =0.5 ;ZDIFAC =1.
GALA = F ;ADDDIF = F
NEWENT = 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 = GRND8
TSURR =0. ;TEMP0 =0.
PRESS0 =0.
DVO1DT =0. ;DRH1DP =0.
EMISS =0. ;SCATT =0.
EL1A =0.07 ;EL1B =-0.16
EL1C =-0.48
ENUL =2.5E-06 ;ENUT = GRND2
ENUTA =0. ;ENUTB =0.
ENUTC =0.
IENUTA = 0
PRNDTL(V1)=1. ;PRNDTL(W1)=1.
PRNDTL(TEMP)=0.7
PRT(V1)=1. ;PRT(W1)=1.
PRT(TEMP)=0.86
CP1 =1. ;CP2 =1.
************************************************************
Group 10.Inter-Phase Transfer Processes
************************************************************
Group 11.Initial field variables (PHIs)
FIINIT(P1)=1.0E-10 ;FIINIT(V1)=1.0E-10
FIINIT(W1)=1. ;FIINIT(TEMP)=1.
FIINIT(LEN1)=1.0E-10 ;FIINIT(ENUT)=1.0E-10
No PATCHes yet used for this Group
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(WFUN ,NWALL , 1, 1, 30, 30, 1, 40, 1, 1)
COVAL(WFUN ,W1 , GRND2 ,0. )
COVAL(WFUN ,TEMP, GRND2 ,0. )

PATCH(IN ,LOW , 1, 1, 1, 30, 1, 1, 1, 1)
COVAL(IN ,P1 , FIXFLU ,1. )
COVAL(IN ,V1 ,0. ,0. )
COVAL(IN ,W1 ,0. ,1. )
COVAL(IN ,TEMP,0. ,1. )
XCYCLE = F
EGWF = T
WALLCO = GRND2
************************************************************
Group 14. Downstream Pressure For PARAB
IPARAB = 0
AZPH =0. ;PBAR =0.
************************************************************
Group 15. Terminate Sweeps
LSWEEP = 1 ;ISWC1 = 1
LITHYD = 20 ;LITFLX = 1 ;LITC = 1 ;ITHC1 = 1
SELREF = T
RESFAC =1.0E-02
************************************************************
Group 16. Terminate Iterations
LITER(P1)=20 ;LITER(V1)=10
LITER(W1)=10 ;LITER(TEMP)=20
ENDIT(P1)=1.0E-03 ;ENDIT(V1)=1.0E-03
ENDIT(W1)=1.0E-03 ;ENDIT(TEMP)=1.0E-03
************************************************************
Group 17. Relaxation
RELAX(P1,LINRLX,1.)
RELAX(V1,FALSDT,1.)
RELAX(W1,FALSDT,1.)
RELAX(TEMP,FALSDT,1.0E+09)
RELAX(LEN1,LINRLX,1.)
RELAX(ENUT,LINRLX,0.25)
OVRRLX =0.
EXPERT = F ;NNORSL = F
************************************************************
Group 18. Limits
VARMAX(P1)=1.0E+10 ;VARMIN(P1)=-1.0E+10
VARMAX(V1)=1.0E+06 ;VARMIN(V1)=-1.0E+06
VARMAX(W1)=1.0E+06 ;VARMIN(W1)=-1.0E+06
VARMAX(TEMP)=1.0E+10 ;VARMIN(TEMP)=-1.0E+10
VARMAX(LEN1)=1.0E+10 ;VARMIN(LEN1)=-1.0E+10
VARMAX(ENUT)=1.0E+10 ;VARMIN(ENUT)=-1.0E+10
************************************************************
Group 19. Data transmitted to GROUND
DWDY = T
PARSOL = F
ISG62 = 1
SPEDAT(SET,GXMONI,PLOTALL,L,T)
************************************************************
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(P1,Y,N,Y,Y,Y,Y)
OUTPUT(V1,Y,N,Y,Y,Y,Y)
OUTPUT(W1,Y,N,Y,Y,Y,Y)
OUTPUT(TEMP,Y,Y,Y,N,Y,Y)
OUTPUT(LEN1,Y,N,Y,N,N,N)
OUTPUT(ENUT,Y,N,Y,N,N,N)
WALPRN = T
************************************************************
Group 22. Monitor Print-Out
IXMON = 1 ;IYMON = 27 ;IZMON = 1
NPRMON = 1 ;NPRMNT = 1 ;TSTSWP = 19
UWATCH = T ;USTEER = T
HIGHLO = F
************************************************************
Group 23.Field Print-Out & Plot Control
NPRINT = 100000 ;NUMCLS = 5
NYPRIN = -1 ;IYPRF = 1 ;IYPRL = 10000
NZPRIN = -1 ;IZPRF = 1 ;IZPRL = 10000
IPLTF = 1 ;IPLTL = -1 ;NPLT = 1
ISWPRF = 1 ;ISWPRL = 100000
ITABL = 1 ;IPROF = 1
ABSIZ =0.5 ;ORSIZ =0.4
NTZPRF = 1 ;NCOLPF = 50
ICHR = 2 ;NCOLCO = 45 ;NROWCO = 20

PATCH(IZEQNZ ,PROFIL, 1, 1, 1, 30, 40, 40, 1, 1)
PLOT(IZEQNZ ,W1 ,0. ,0. )
PLOT(IZEQNZ ,LEN1,0. ,0. )

PATCH(LONGPLOT,PROFIL, 1, 40, 30, 30, 3, 40, 1, 1)
PLOT(LONGPLOT,W1 ,0. ,0. )
PLOT(LONGPLOT,TEMP,0. ,1. )

PATCH(LONGPLT2,PROFIL, 1, 1, 1, 1, 3, 40, 1, 1)
PLOT(LONGPLT2,W1 ,0. ,0. )
PLOT(LONGPLT2,TEMP,0. ,1. )
************************************************************
Group 24. Dumps For Restarts
SAVE = T ;NOWIPE = F
NSAVE =CHAM
IDISPA = 2 ;IDISPB = 0 ;IDISPC = 0
STOP
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