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SSt k-omega in gamma-Retetha transition model

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Old   May 31, 2012, 19:31
Default SSt k-omega in gamma-Retetha transition model
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I have a question about kinetic energy production term in SST k-omega turbulence model that uses in gamma-Retetha transition model. in the Langtry's Thesis production term of K introduces:
P'k=Mt*S^2 S: absolute strain rate; Pk=min(P'k,10Dk)
but in menter's (1994) paper that SST k-omega and in main paper of the transition model refer to this paper (Two-Equation Eddy-Viscosity Turbulence Models for Engineering Applications) this term was introduces as:
p'k=mt*tij*dui/dxj tij: shear stress ; Pk=min(P'k,10Dk)
now my question exactly is which one of these two P'k is correct?

thanks in advance
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Old   May 31, 2012, 22:42
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Sijal Ahmed Memon (turboenginner@gmail.com)
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it looks that both are same!!!!
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Old   June 1, 2012, 04:56
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Dear Far
I suspect both of them are same. if you descritize Tij*dui/dxj you can see it

Tij dui/dxj= (du/dy+dv/dx)^2+2*((du/dx)^2+(dv/dy)^2)
S^2= ((du/dy+dv/dx)^2+(du/dx)^2+(dv/dy)^2)

Am I correct?
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Old   June 1, 2012, 05:05
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Let me check it again from my old notes
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