|January 27, 2005, 05:57||
laminar wall jets
i have a problem while solving laminar wall jet problem. MY PROBLEM GOVERNING EQUATIONS ARE STEADY ,TWO-DIMENTIONAL BOUNDARY LAYER EQUATIONS,WITH BOUSINESQ APPROXIMATION. i applied several techniques,explicit and implicit non -staggered grid ,and staggered grid analysis. but any of the above technique,not giving converged solution. i am explaing about my problem domain, 1)in my present work ,jet is issue from a slot tangential to the vertical wall . 2)i considered mixed flow analysis. 3)domain boundary conditions are: 1) at x=0 & 0<y<1 U=1,V=0,T=1 2)at X=0 & Y>=1 U=0,V=0,T=0 3)at x>1 & Y =0 , U=0,V=0 and dT/dy =1; 4) at X>1 and Y tends to infinity , U=0,T=0.
wall lies along X-direction ,Y is normal to X-direction. IN STAGGERED GRID ANALYSIS i discretized the energy and momentum equation at (i+1/2,j) node. and continutiy equation at (i+1/2,j+1/2) node.
IN IMPLICIT ANALYSIS,FOR CONVECTION TERMS ,BACKWARED DIFFERECNCE FOR dT/dX and CENTRAL DIFFERENCE FOR dT/dY and also CENTAL DIFFEREENCE FOR DIFFUSION TERM AT (i,j)NODE WHICH IS REQUIRED NODE. FOR CONTINUTIY EQUATION I USED BACKWARED FOR BOTH dU/dX and dV/dY ,FROM THIS I FINDED OUT V (VELOCITY )AT (i,j) NODE.
EXPLICIT METHOD I CANNOT USE BECAUSE ONE BOUNDARY CONSTRAIN WHICH IS 2)at X=0 & Y>=1 U=0,V=0,T=0 I ALSO USED UNDER RELAXATION TECHNIQUE FOR STAGGERED GRID ANALYSIS,SOLUTION IS CONVERGING BUT OBTAINED RESULT IS NOT REALISTIC.
IMPLICIT NON STAGGERED ANALYSIS NOT CONVERGING EVEN WITH UNDER RELAXATION.
please suggest me something where i am going wrong. Thanks a lot in anticipation, M.RAJANIKANTH REDDY. M.TECH(THERMAL SCIENCES)
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