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Jordan Y. Hristov

REDISTRIBUTION OF MASS FROM A THIN INTERLAYER BETWEEN TWO THICK DISSIMILAR MEDIA: 1-D DIFFUSION PROBLEM WITH A NON-LOCAL CONDITION

ABSTRACT
Diffusion problem with a specification of considering liquid redistribution from a thin interlayer between two semi-infinite media in contact is developed. The basic approach involves an integral approach defining finite depths of penetration of the diffusant into the media and fractional half-time derivative of the boundary (at the interface) concentration. The approach is straightforward and avoids cumbersome calculations based on the idea to develop entire domain (for each of the contacting bodies) solutions. The results are compared to classical solutions, when they exist.
KEYWORDS
diffusion, specification of mass, integral method, fractional time semi-derivatives
PAPER SUBMITTED: 2012-08-26
PAPER REVISED: 2013-05-19
PAPER ACCEPTED: 2013-05-19
PUBLISHED ONLINE: 2013-06-16
DOI REFERENCE: https://doi.org/10.2298/TSCI120826069H
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2013, VOLUME 17, ISSUE Issue 3, PAGES [651 - 664]
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Redistribution of mass from a thin interlayer between two thick dissimilar media: 1-D diffusion problem with a non-local condition

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, 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