This should able to satisfy the answer:

I hope :-)

You can find this in:

Compressible Fluid Dynamics (Advanced engineering series)

P.A. Thompson

See also the discussion of the energy equation in:

Transport Phenomena

R. Byron Bird and Warren E. Stewart

thanks a lot.

Ashish Kotwal ,, I need Entropy Generation Equation no momentum, energy, and continuity equations.

The book of Thompson is focusing on all equations including the entropy equation.

The book of Bird is discussing a lot of different forms of the energy equation, which can help understanding the discussion of Thompson.

thanks a lot for everyone

Maybe these books could help you:

/1/ Thermal Design and Optimization

 Adrian Bejan, Michael J. Moran

John Wiley & Sons, 1996 - 542 páginas

/2/ Entrophy Generation Through Heat and Fluid Flow  - Adrian Bejan

I don't have them with me right now, but, as far as I remember, the equation you're looking for is there (or, at least, you can develop yours).

very thanks

What about taking the Reynolds Average of the Clausius-Duhem inequality? This should give you any insights. What are you trying to accomplish actually? Verifying thermodynamics constraints for a new turbulence model?

Good luck!

Entropy: A concept that is not a physical quantity

https://www.researchgate.net/publication/230554936_Entropy_A_concept_that_is_not_a_physical_quantity

Hi,

the following articles could help you:

'' What Exactly is the Nusselt Number in Convective Heat Transfer Problems and are There Alternatives? ''

and:

'' Energy, Entropy and Exergy Concepts and Their Roles in Thermal Engineering ''

In mentioned articles, both heat transfer and entropy concepts have been presented.

Also, you can download the attachments.

best regards

M. Firoozzadeh

Jundi-Shapur University of Technology, Dezful, Iran