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MULTIPLE INTEGRAL-BALANCE METHOD: BASIC IDEA AND AN EXAMPLE WITH MULLIN’S MODEL OF THERMAL GROOVING

ABSTRACT
A multiple integration technique of the integral-balance method allowing solving high-order diffusion equations is conceived in this note. The new method termed multiple-integral balance method is based on multiple integration procedures with respect to the space co-ordinate and is generalization of the widely applied heat-balance integral method of Goodman and the double integration method of Volkov. The method is demonstrated by a solution of the linear diffusion models of Mullins for thermal grooving.
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PAPER SUBMITTED: 1970-01-01
PAPER REVISED: 2017-05-02
PAPER ACCEPTED: 2017-05-03
PUBLISHED ONLINE: 2017-05-06
DOI REFERENCE: https://doi.org/10.2298/TSCI170410124H
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2017, VOLUME 21, ISSUE 3, PAGES [1555 - 1560]
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© 2017 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