Timeline for Transport equation for temperature in a fluid: Heat capacity at constant volume or pressure
Current License: CC BY-SA 3.0
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| Oct 31, 2016 at 12:34 | comment | added | Chet Miller | Actually, that's not the equation for the change in internal energy. Look it up in a Thermo book. It is $$dU=C_vdT-\left[P-T\left(\frac{\partial P}{\partial T}\right)_V\right]dV$$I suggest you check out the detailed development in Transport Phenomena by Bird, Stewart, and Lightfoot. | |
| Oct 31, 2016 at 7:08 | comment | added | Frysen | Ahh.. I see. But if I dont make this assumption, then we have: $$ \varphi(T) = \int_0^T c_v(T) \, dT = \int_0^T c_p(T) \, dT - \int_0^V p(V) \, dV $$ ? | |
| Oct 31, 2016 at 2:07 | history | answered | Chet Miller | CC BY-SA 3.0 |