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RESEARCH PAPERS

Analysis of Early-Time Transient Heat Conduction by Method of Characteristics

[+] Author and Article Information
D. C. Wiggert

Department of Civil Engineering, Michigan State University, East Lansing, Mich.

J. Heat Transfer 99(1), 35-40 (Feb 01, 1977) (6 pages) doi:10.1115/1.3450651 History: Received March 24, 1976; Online August 11, 2010

Abstract

The proposed equations describing early-time one-dimensional heat transfer are hyperbolic with temperature and flux being the dependent variables. The method of characteristics is applied resulting in a solution for the variables as functions of distance and time. A dimensionless parameter δ is introduced which is defined either as the inverse thermal propagation speed or relaxation time. The numerical solution yields explicitness, stability, and accuracy combined with ease of handling time-variable boundary conditions. Examples include predicted response to step inputs of flux or temperature at a surface or interface of materials and illustrate the transition from non-Fourier to Fourier-like diffusion.

Copyright © 1977 by ASME
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