Divergence theorem in cylinderical coordinates
It's common for finite volume method to calculate the derivatives in viscous flux according to divergence theorem, but I do not known the detail formula in axisymmetrical cylinderical coordinates. for example, how to caluclate the derivatives of temperature according to divergence theorem? Thank a lot in advance!

Re: Divergence theorem in cylinderical coordinates
Get a copy of "Transport Phenomena", by Bird, Stewart and Lightfoot. This shows all the vector operations in the three major coordinate systems  along with lots of other details.
A bit less expensive, Schwamm's outline series has a softcover summary on Vector Analysis. 
Re: Divergence theorem in cylinderical coordinates
Thank Park, I know how to calculate the derivatives of a vector, such as velocity, using divergence theorem according to any Vector Analysis book, but I don not known how to calculate the derivatives of a scalar, such as temperature, using divergence theorem in axisymmetrical coordinates. Can you shed light on it?

Re: Divergence theorem in cylinderical coordinates
Peter,
Sorry, I did answer the wrong question! You might take a look at C. W. Hirt, A. A. Amsden, and J. L. Cook, "An arbitrary LangrangianEulerian Computing Method for All Flow Speeds," J. Comp. Phys, v. 14, pp. 227253 (1974). Also the reports for the KIVA series of codes developed at Los Alamos  if you can get them. Finally, try the U. of Wisconsin web sites for research simulating combustion in a diesel engine that was spun off from the KIVAseries codes. I don't have the details readily available. You might try contacting Hans Ruppel at Los Alamos, who at one time had a nice set of notes working out the details of the surface integral around a control volume. Good luck! 
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