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A NOTE ON THE INTEGRAL APPROACH TO NON-LINEAR HEAT CONDUCTION WITH JEFFREY’S FADING MEMORY

ABSTRACT
Integral approach by using approximate profile is successfully applied to heat conduction equation with fading memory expressed by a Jeffrey’s kernel. The solution is straightforward and the final form of the approximate temperature profile clearly delineates the “viscous effects” corresponding to the classical Fourier law and the relaxation (fading memory). The optimal exponent of the approximate solution is discussed in case of Dirichlet boundary condition.
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PAPER SUBMITTED: 2012-08-26
PAPER REVISED: 2013-05-31
PAPER ACCEPTED: 2013-05-31
PUBLISHED ONLINE: 2013-06-16
DOI REFERENCE: https://doi.org/10.2298/TSCI120826076H
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2013, VOLUME 17, ISSUE 3, PAGES [733 - 737]
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© 2019 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence