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Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2015, Volume 7, Issue 3, Pages 58–64 (Mi vyurm267)  

Mathematics

Numerical solution of quasi-linear heat conduction equation in the problem of cylinder heating by moving heat source

M. Z. Khayrislamov

South Ural State University

Abstract: The problem of finite cylinder heating by heat source rotating with constant angular rate and moving along cylinder axis is considered in the paper. Thermophysical properties of cylinder material are defined by the temperature functions. Numerical method of quasi-linear heat conduction equation solution is given on the basis of the use of explicit difference scheme. The numerical problem solution by the given method is compared with the solution by implicit difference scheme.

Keywords: heat conduction; quasi-linear heat conduction equation; difference schemes; cylinder coordinate system.

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UDC: 519.633.6
Received: 05.05.2015

Citation: M. Z. Khayrislamov, “Numerical solution of quasi-linear heat conduction equation in the problem of cylinder heating by moving heat source”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 7:3 (2015), 58–64

Citation in format AMSBIB
\Bibitem{Kha15}
\by M.~Z.~Khayrislamov
\paper Numerical solution of quasi-linear heat conduction equation in the problem of cylinder heating by moving heat source
\jour Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz.
\yr 2015
\vol 7
\issue 3
\pages 58--64
\mathnet{http://mi.mathnet.ru/vyurm267}
\elib{https://elibrary.ru/item.asp?id=23730242}


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