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How to calculate path-dependent thermodynamic integrals? |
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April 19, 2021, 04:19 |
How to calculate path-dependent thermodynamic integrals?
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#1 |
New Member
Procyon
Join Date: Jan 2011
Posts: 8
Rep Power: 15 |
Hello everybody,
I would like to calculate path-dependent integrals like (the "specific amount of useful work") using results of a CFD simulation. However, I am unsure about how to transform this integral into something that can be used in CFD post-processing (I am anlysing turbo compressors). This is what I derived so far:
Is that the correct way to do it? Or did I make any mistakes? Sincerely, Procyon Last edited by Procyon; April 19, 2021 at 04:20. Reason: Extension of the question |
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April 21, 2021, 01:12 |
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#2 |
New Member
Join Date: Jan 2021
Posts: 18
Rep Power: 5 |
Hi,
I would extract the interesting path (i.e., variables along the path) and calculate energy differentials along it (de=e_b-e_a, where a, b are two points placed close to each other on the path). The sum of those differentials would be the amount of energy change while passing from start to end point along the path. The e is defined as the internal energy e(T), while other forms of energy like the enthalpy (p/rho) and kinetic energy (v^2) can also be added if needed. https://en.wikipedia.org/wiki/Bernou...thermodynamics The above expression yields the specific energy at points, for example, along the path. Another way would be probably to calculate the integral of the substatial derivative of the total energy D(e+v^2)/Dt or enthalpy for an open system. What would be the practical relevance of that information? Last edited by digger; April 21, 2021 at 08:40. |
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