Dear researchers,
It's easy to solve the heat conduction problem in 1D composite media (e.g., multilayered cylinder) as shown in chapter 10 of the book 'Heat conduction 3rd 2012, Hahn & Özişik' by using the Quasi-Orthogonal Functions proposed by Tittle 1965.
However, which orthogonal expansion techniques can be used to solve the problem in multidimensional composite media (e.g., orthotropic multilayered cylinder)?
Can I have some relevant materials for solving my question, please?
Thank you all so much.
Kind regards,
Sam.
Thanks Dikeos ,
I know that the Bessel's function must be appeared in the solution because the problem is in the cylindrical coordinate. However, I need more details related to the orthogonal expansion techniques required for the mentioned question.
Regards,
Sam
There is a very old and very thorough textbook on solutions to heat conduction problems. It is "Conduction of Heat in Solids," by Carslaw and Jaeger, Second Edition, Oxford University Press, 1959. I think that this book will answer your question. See Chapter XIII for composite cylinders. These old and thorough books are hard to find so you might have to go searching for a copy.
See my paper titeled " thermal Behaviour of a Composite Cylinder in Transient Regime" on my profil.Good luck
I think that you will find answers to your problem with both the Edmonds and especially the Tamene suggestions.If your particular problem requires tools beyond those described there,send me a description of it and I will think about alternative expansions.
To: Dikeos Mario Soumpasis, L.D. Edmonds , Youcef Tamene.
Thank you all for your answers.
Your suggestions are included in the book 'Heat conduction 3rd 2012, Hahn & Ozisk'. I also had the book 'Conduction of heat in solid' before.
Anyway, after an effort of searching, downloading some papers in heat transfer, now I find out the answer for my question.
Kind regards,
Sam
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