Analytical solutions to the heat conduction problems for a cylinder and a ball based on determining the temperature perturbation front View Full Text


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Article Info

DATE

2008-04

AUTHORS

M. S. Antimonov, V. A. Kudinov, E. V. Stefanyuk

ABSTRACT

Analytical solutions to the heat conduction problems for a cylinder and a ball are obtained by the integral method of heat balance. To improve the accuracy of the solutions, the temperature function is approximated by polynomials of high degrees. Their coefficients are determined via introducing additional boundary conditions, which are found from the governing differential equation and the basic boundary conditions, including those specified at the temperature perturbation front. It is shown that the additional boundary conditions, even in the second approximation, lead to a considerable improvement in the solution accuracy. More... »

PAGES

648-658

Identifiers

URI

http://scigraph.springernature.com/pub.10.1134/s096554250804012x

DOI

http://dx.doi.org/10.1134/s096554250804012x

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1020426287


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