Analytical Solutions and Sinc Function Approximations in Thermal Conduction With Nonlinear Heat Generation

[+] Author and Article Information
A. Lippke

Fachbereich Mathematik, Technische Universita╠łt Berlin, Berlin, Federal Republic of Germany

J. Heat Transfer 113(1), 5-11 (Feb 01, 1991) (7 pages) doi:10.1115/1.2910552 History: Received September 12, 1988; Revised October 10, 1989; Online May 23, 2008


This paper is concerned with the numerical and analytical evaluation of multiple solutions of the steady-state radial temperature distribution in a solid m -dimensional sphere, which is caused by nonlinear heat generation. To achieve highly accurate solutions a Sinc function approximation of the differential operator is introduced.

Copyright ┬ę 1991 by The American Society of Mechanical Engineers
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