TEXT( Law-Of-The-Wall Calculator
REAL(UPLUS,KAY,KUPLUS,YPLUS,EWAL,NUPLUS,LRNT,RE,TEMPP,FACTOR)
REAL(LRNMFAC)
KAY=0.41;EWAL=8.6;enuta=0.05;enutb=4.0
nowipe=t
DISPLAY
This Q1 computes the various quantities which are deducible from
the supposition that the "universal law of the wall" can be
expressed by the single formula:
yplus = uplus + (1/E)*[exp(K*uplus) - 1 - K*uplus/2 -
(K*uplus)**2/6 - (K*uplus)**3/24]
(Ref. Spalding DB, Trans ASME, J Appl Mech vol 28 pp 455-458,
1961)
The quantities in question are:-
nuplus, the turbulent contribution to the viscosity divided by
the laminar viscosity;
re, the Reynolds Number based on distance from the wall,
= uplus * yplus;
lrnt, the local Reynolds number of turbulence, defined as
K*yplus, which is the value which nuplus takes at high
Reynolds number, and which can be regarded as the nominal
value of nuplus;
factor, the factor by which the nominal value of nuplus should be
multiplied to yield the actual value.
#$13)
Also computed is LRNMFAC, the local Reynolds Number Multiplication
Factor computed by PHOENICS, when IENUT is set equal to 6 .
The values used here for K and E are 0.4 and 9.0 respectively;
and, to calculate the LRNM factor, the values used for ENUTA and
ENUTB are 0.05 and 4.0 respectively.
This Q1 file illustrates how PIL can be used as a general utility
having nothing directly to do with PHOENICS.
Please press RETURN to continue
readvdu(nx,int,nx)
#$13)
LABEL TOP
What uplus do you want, please?
READVDU(UPLUS,REAL,0.0)
KUPLUS=KAY*UPLUS
TEMPP=EXP(KUPLUS)-1 -KUPLUS*(1 + 0.5*KUPLUS + 0.16667*KUPLUS**2)
YPLUS=UPLUS + (TEMPP-KUPLUS**4/24)/EWAL; NUPLUS=KAY*(TEMPP)/EWAL
LRNT=KAY*YPLUS; FACTOR=NUPLUS/LRNT
IF(FACTOR.GT.1) THEN
FACTOR=1.0+.00001
ENDIF
RE=UPLUS*YPLUS
LRNMFAC=(ENUTA*LRNT)**ENUTB
IF(LRNMFAC.GT.1) THEN
LRNMFAC=1.0+.00001
ENDIF
UPLUS=UPLUS+.00001
mesg(uplus yplus re nuplus
mesgb(:uplus: :yplus: :re: :nuplus:
mesg(lrnt factor lrnmfac
mesgb(:lrnt: :factor: :lrnmfac:
more? (y/n)
READVDU(ANS,CHAR,N)
IF(:ANS:.EQ.Y)THEN
GOTO TOP
ENDIF
ABORT
ENDDIS