# Source Term in k-equation of k-epsilon turbulence

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 May 8, 2003, 09:30 Source Term in k-equation of k-epsilon turbulence #1 Apurva Guest   Posts: n/a Hi, The source term given in k equation of the k-epsilon turbulence model is given as tau(t,ij)Sij in tensor form where tau(t,ij) is turbulent Reynolds Stress and Sij is the strain rate. Can anyone guide me on how it will expand. In my view it can be : tau(t,xx)*S(xx) + tau(t,xy)*S(xy) + tau(t,xz)*S(xz) + tau(t,yx)*S(yx) + tau(t,yy)*S(yy) + tau(t,yz)*S(yz) + tau(t,zx)*S(zx) + tau(t,zy)*S(zy) + tau(t,zz)*S(zz) I want to know whether the expansion is correct or not; if not how the source term should be calculated. Thanks Apurva

 May 8, 2003, 12:35 Re: Source Term in k-equation of k-epsilon turbule #2 John Guest   Posts: n/a The definition of generation term in k is G=TAUij*(dUj/dXi) Your expansion is right. If normal Boussinesq hypothesis is used, then G=Mu_t*(S*S) where S=SQRT(2*Sij*Sij) and Sij=0.5*(dUi/dXj+dUj/dXi)

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