# derivation of epsilon equation of k-epsilon model

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 April 2, 2007, 19:32 derivation of epsilon equation of k-epsilon model #1 Ricardo Rezende Guest   Posts: n/a Does anybody have the deduction of the transport equation for the rate of dissipation of the k-epsilon model? I already deduced the equation for k but the equation for epsilon I am having difficulties. Can anybody help myself? Thanks!

 April 3, 2007, 15:30 Re: derivation of epsilon equation of k-epsilon mo #2 Richard Guest   Posts: n/a Ricardo, You can find the complete epsilon equation in this paper Rodi, W. and Mansour, N.N., Low Reynolds number kâ€"eps modelling with the aid of direct simulation data. J. Fluid Mech. 250 (1993) 509â€"529. http://journals.cambridge.org/action...=-1&aid=339411 good luck! Richard

 April 3, 2007, 16:07 Re: derivation of epsilon equation of k-epsilon mo #3 pennysworth Guest   Posts: n/a The epsilon equation that is used in the k-epsilon model is itself modelled after the k equation, because the exact equation is not useful from a modelling point of view. Thus, similar to the k equation, on has D/Dt(eps) = Prod_eps + diffus_eps - destruct_ eps Production is motivated by self-similar evolution of homogeneous shear turbulence. Destruction is motivated by self-similar decay of homogeneous turbulence, and diffusion is modelled in a gradient diffusion form just like diffusion of k.

 April 5, 2007, 04:33 Re: derivation of epsilon equation of k-epsilon mo #4 p Guest   Posts: n/a i'll get it (hand written material)scanned and send you.

 April 10, 2007, 13:11 Re: derivation of epsilon equation of k-epsilon mo #5 Ricardo Rezende Guest   Posts: n/a Thaks for all for your help.

 May 1, 2007, 05:38 Re: derivation of epsilon equation of k-epsilon mo #6 Jane Hockey Guest   Posts: n/a I'm having trouble with this derivation as well. Turbulence is giving me grief because stats really isn't my strong point. If it's not too much trouble, would it be possible for me to take a look at the derivation as well?