So, I have searched the globe to find the derivation of the conservation of energy equation in 3D cylindrical coordinates. I have looked in about every heat transfer, thermodynamic, thermofluid books in the library. I have spent about 4 hours on the internet trying to find something, but no luck.(adsbygoogle = window.adsbygoogle || []).push({});

It seems like EVERY textbook I have looked through has the cartesian derivation and when I look at the problem sets at the end of the chapter what do I see? "Derive the control volume three dimensional energy equation in cylindrical coordinates." It's as if the publisher refused to print the cylindrical derivation. They just threw the end result in cylindrical coordinated in the appendix and call it a day.

I know it is a very lengthy and relatively complex derivation, but come on.

My question is, does anyone have a source for the derivation of the energy equation in cylindrical coordinates? I would truly appreciate it if you could link one.

Thank you for your time and reading my frustrations. =)

Chris

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# Derivation of Energy Equation in Cylindrical Coordinates

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