Transient Thermal Waves in the General Theory of Heat Conduction With Finite Wave Speeds

[+] Author and Article Information
F. R. Norwood

Mathematics Department, Sandia Laboratories, Albuquerque, N. Mex.

J. Appl. Mech 39(3), 673-676 (Sep 01, 1972) (4 pages) doi:10.1115/1.3422771 History: Received February 01, 1971; Revised May 01, 1971; Online July 12, 2010


The linear version of the general theory of heat conduction is employed to study the problem of a half space subjected to step time inputs of temperature. The solution is obtained by the use of the Laplace transform on time and the sine transform on space. Exact solutions, wave-front, and long-time approximations are obtained. The long-time solutions satisfy the classical heat equation. It is shown that stable solutions may be obtained under more relaxed conditions than those prescribed by the general theory.

Copyright © 1972 by ASME
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