GROUP 1. Run title and other preliminaries
TEXT(RSTM_2D PARABOLIC PLANE WALL JET :T604
TITLE
DISPLAY
The flow considered is a heated non-buoyant plane submerged jet
directed along a plane adiabatic wall into a stagnant
environment. For the wall jet, experiments indicate non-
coincidence of the lateral poistions of zero shear stress and
maximum velocity. This feature can be predicted by a Reynolds-
stress transport model (RSTM), but not with an eddy-viscosity
model which forces the shear stress to vanish at the location of
the velocity maximum. However, for practical purposes this
failing does not adversely affect other aspects of the computed
flow field.
ENDDIS
The turbulence is simulated with RSTM, which may be one of three
variants, namely: the IPM pressure-strain model (IRSMHM=0); the
model coefficients of Gibson & Younis plus IPM (IRSMHM=1); the
QIM pressure-strain model (IRSMHM=2). Modelled tranpsort equations
are solved for the turbulent heat fluxes.
The calculations are started at the jet discharge, and the
parabolic marching integration is carried out until both the mean
flow and turbulence profiles become self similar. Fifty lateral
radial grid cells are employed across the jet, together with a
forward step size of about 8% (DZW1) of the local jet width.
The y-extent of the grid increases linearly with downstream
distance so as to accommodate the spread of the jet. The
calculation is terminated about 60 slot widths from the jet
discharge. The grid distribution has not been optimised,
particularly in the wall-layer region where the grid is relatively
coarse and the near-wall grid is too close to the wall.
The main results of the calculations are compared with those of
experiment in the table below.
plane wall jet IPM IPM/GY QIM Data
dyw/dz .091 .077 .092 .076
dyt/dz .104 .090 .107 -
vw,max/wm**2 .018 .015 .018 .015
The table indicates the values of the half-width spreading rates
of the velocity and temperature fields, and the maximum values of
the normalised values of the cross-stream turbulent shearing
stress and turbulent heat flux. No grid sensitivity studies have
been performed, but these results are in close agreement with
those reported in the literature.
IRSMSM=2;IRSMHM=2;CARTES=T
** Jet-Discharge values
REAL(REYNO,TJET,WJET,TKEIN,EPSIN,HSLOT,GMIXL,DYLDZ,DTF)
INTEGER(NYS)
REYNO=1.25E4;TJET=1.0;HSLOT=.0125;WJET=5.;TKEIN=0.01*WJET*WJET
GMIXL=0.09*HSLOT;EPSIN=.1643*TKEIN**1.5/GMIXL
GROUP 3-5. Grid specification
PARAB=T;NY=50;NYS=44;NREGY=2
IREGY=1;GRDPWR(Y,NYS,HSLOT,1.4)
IREGY=2;GRDPWR(Y,6,0.25*HSLOT,1.1)
DYLDZ=0.09*2.5;NZ=140;DZW1=0.08;DTF=0.004
DTF=0.001
AZYV=1.0;ZWADD=YVLAST/DYLDZ;AZDZ=PROPY;IPARAB=1
GROUP 7. Variables stored, solved & named
SOLVE(P1,V1,W1,H1)
PATCH(WAL1,SWALL,1,1,1,1,1,NZ,1,1)
TURMOD(REYSTRS,DTF,WAL1)
GROUP 8. Terms (in differential equations) & devices
DIFCUT=0.0
GROUP 9. Properties of the medium (or media)
ENUL=WJET*HSLOT/REYNO
GROUP 11. Initialization of variable or porosity fields
FIINIT(KE)=TKEIN;FIINIT(EP)=EPSIN
FIINIT(U2RS)=2.*TKEIN/3.
FIINIT(V2RS)=FIINIT(U2RS);FIINIT(W2RS)=FIINIT(U2RS)
FIINIT(VWRS)=0.3*TKEIN;FIINIT(H1)=TJET
GROUP 13. Boundary conditions and special sources
1. Outer Boundary -- free stream
PATCH(HIGHY,NORTH,1,1,NY,NY,1,NZ,1,1)
COVAL(HIGHY,P1,1.0E4,0.0);COVAL(HIGHY,H1,ONLYMS,0.0)
COVAL(HIGHY,W1,ONLYMS,0.0);COVAL(HIGHY,V1,ONLYMS,0.0)
2. Inlet Boundary-- uniform flow
INLET(UNIFORM,LOW,1,1,1,NYS,1,1,1,1)
VALUE(UNIFORM,P1,WJET);VALUE(UNIFORM,W1,WJET)
VALUE(UNIFORM,H1,TJET)
VALUE(UNIFORM,KE,TKEIN);VALUE(UNIFORM,EP,EPSIN)
VALUE(UNIFORM,W2RS,2.*TKEIN/3.);VALUE(UNIFORM,V2RS,2.*TKEIN/3.)
VALUE(UNIFORM,U2RS,2.*TKEIN/3.)
GROUP 16. Termination of iterations
LITHYD=30
GROUP 18. Limits on variables or increments to them
VARMIN(W1)=1.E-10;VARMIN(EP)=1.E-8*RHO1*HSLOT*WJET*EPSIN
VARMIN(U2RS)=1.E-10;VARMIN(V2RS)=1.E-10;VARMIN(W2RS)=1.E-10
VARMIN(H1)=1.E-10
GROUP 22. Monitor print-out
IZMON=NZ/2;IYMON=NY/2;ITABL=3;NPLT=5;IPLTL=LITHYD
TSTSWP=-1;NYPRIN=1;NZPRIN=NZ
GROUP 23. Field print-out and plot control
ORSIZ=0.4;PATCH(IZEQNZ,PROFIL,1,1,1,NY,NZ,NZ,1,1)
PLOT(IZEQNZ,W1,0.0,0.0)
GROUP 24. Dumps for restarts
RESREF(P1)=1.E-8*HSLOT*WJET; RESREF(W1)=1.E-8*RHO1*HSLOT*WJET*WJET
RESREF(H1)=1.E-8*RHO1*HSLOT*TJET*WJET; RESREF(V1)=RESREF(W1)
RG(1)=HSLOT;LG(1)=T;IG(1)=14