GROUP 1. Run title and other preliminaries
DISPLAY
The flow considered is a plane or round submerged jet of fluid
discharging into a stagnant environment of another fluid. The jet
is isothermal and buoyancy effects are negligible. The turbulence
is simulated with the Reynolds-stress transport model ( 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 scalar fluxes of the injected fluid.
ENDDIS
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. Thirty lateral/
radial grid cells are employed across the jet, together with a
forward step size of about 1% (DZW1) of the local jet width/
radius. The y-extent of the grid increases linearly with
downstream distance so as to accommodate the spread of the jet.
For the plane jet, the calculation is terminated about 90 slot
widths from the jet discharge. For the round jet, it is
terminated at about 70 diameters from the source.
The main results of the calculations are compared with those of
experiment in the table below.
plane jet IPM IPM/GY QIM Data
dyw/dz .101 .093 .117 .110
dyt/dz .132 .120 .152 .140
vw,max/wm**2 .021 .020 .025 .024
vc,max/(wm*cm) .027 .024 .031 .032
round jet IPM IPM/GY QIM Data
dyw/dz .120 .103 .145 .086
dyt/dz .160 .145 .191 .110
vw,max/wm**2 .023 .020 .030 .019
vc,max/(wm*cm) .028 .025 .036 .016
The table indicates the values of the half-width spreading rates
of the velocity and scalar-concentration fields, and the maximum
values of the normalised values of the cross-stream turbulent
shearing stress and scalar-concentration flux. No grid
sensitivity studies have been performed, but these results are
in close agreement with those reported in the literature.
CHAR(FLOTYP);IRSMSM=2;IRSMHM=0;CARTES=T
IF(CARTES) THEN
+ FLOTYP=PLANE
ELSE
+ FLOTYP=ROUND
ENDIF
TEXT(RSTM_2D PARABOLIC :FLOTYP: JET :T603
TITLE
** Jet-Discharge values
REAL(REYNO,CJET,WJET,TKEIN,EPSIN,HSLOT,GMIXL,DYLDZ,DTF)
REYNO=1.25E4;CJET=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=30;NREGY=2
IREGY=1;GRDPWR(Y,20,0.5*HSLOT,1.0)
IREGY=2;GRDPWR(Y,10,0.5*HSLOT,1.0)
** Linear Grid Expansion
IF(CARTES) THEN
+ DYLDZ=0.112*2.5;NZ=120;DZW1=0.1;DTF=0.008
ELSE
+ DYLDZ=0.12*2.5;NZ=150;DZW1=0.07;DTF=0.004
ENDIF
AZYV=1.0;ZWADD=YVLAST/DYLDZ
AZDZ=PROPY;IPARAB=1
GROUP 7. Variables stored, solved & named
SOLVE(P1,V1,W1,SC1);TURMOD(REYSTRS,DTF)
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(SC1)=CJET
GROUP 13. Boundary conditions and special sources
1. Outer Boundary -- free stream
PATCH(HIGHY,NORTH,#1,#1,#2,#2,1,NZ,#1,#1)
COVAL(HIGHY,P1,1.0E4,0.0);COVAL(HIGHY,SC1,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,#1,#1,#1,#1,#1)
VALUE(UNIFORM,P1,WJET);VALUE(UNIFORM,W1,WJET)
VALUE(UNIFORM,SC1,CJET)
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.)
PATCH(SMPLS,SOUTH,1,1,1,1,1,NZ,1,1)
COVAL(SMPLS,VWRS,GRND1,0.0);COVAL(SMPLS,VSC1,GRND1,0.0)
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(SC1)=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(SC1)=1.E-8*RHO1*HSLOT*CJET*WJET; RESREF(V1)=RESREF(W1)
IF(IRSMSM.EQ.1) THEN
+ RELAX(VSC1,LINRLX,0.1)
ENDIF
RG(1)=HSLOT;LG(1)=T;IG(1)=50