Derivation of the Temperature Equation

Tobi · April 10, 2018, 11:05

The derivation I showed above is not 100% correct.
The most important thing is how you define your enthalpy - which is a function of (in most cases) T and p. If the p derivative can be neglected it is very easy because $c_p = \frac{\partial T}{\partial h}$ . Then you can use the enthalpy equation, and make it step by step.

More informations are given in my Ph.D. (unfortunately German and not yet published) or in the book of Moukalled et al.

cfdopenfoam · April 10, 2018, 23:15

Quote:

Originally Posted by Tobi

I posted wrong results here because the last check yesterday was with constant values (cp, rho, k). Thats the reason why 4 was not blowing up. New results are in preparation.

Hi,

Could u pls give some hints (or post your new results) about how your 5 temperature implementations work and their performance? May I also take a look at your fvSchemes setting? If you used temperature dependent cp, rho and k, where did you update their values?

April 10, 2018, 11:05		#21
Tobi Super Moderator Tobias Holzmann Join Date: Oct 2010 Location: Bad Wörishofen Posts: 2,711 Blog Entries: 6 Rep Power: 52	The derivation I showed above is not 100% correct. The most important thing is how you define your enthalpy - which is a function of (in most cases) T and p. If the p derivative can be neglected it is very easy because $c_p = \frac{\partial T}{\partial h}$ . Then you can use the enthalpy equation, and make it step by step. More informations are given in my Ph.D. (unfortunately German and not yet published) or in the book of Moukalled et al. __________________ Keep foaming, Tobias Holzmann

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