Thermal waves in materials with linearly inhomogeneous thermal conductivity
Authors:
- 15 June 1994
- journal article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 75 (12) , 7696-7699
Abstract
The problem of plane thermal waves in media with linearly varying thermal conductivity κ in the absence of internal heat sources is rigorously solved in terms of Bessel functions. An exact solution in the presence of an internal heat source arising from optical absorption is also presented. Focus is on the semi-infinite solid. In particular, an inverse calculation procedure is outlined that is able to yield, in a very fast way, a linear κ profile that reveals the most important aspects of the actual profile.Keywords
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