SSt k-omega in gamma-Retetha transition model
 

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

it looks that both are same!!!!

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?

Let me check it again from my old notes