An approximate analytical (integral-balance) solution to a non-linear heat diffusion equation

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creativework.keywordsApproximate integral solution, Non-linear diffusion, Power-law diffusivity
creativework.publisherSerbian Society of Heat Transfer Engineersen
dc.contributor.authorHristov J.
dc.date.accessioned2024-07-10T14:27:03Z
dc.date.accessioned2024-07-10T14:48:08Z
dc.date.available2024-07-10T14:27:03Z
dc.date.available2024-07-10T14:48:08Z
dc.date.issued2015-01-01
dc.description.abstractThe paper presents a closed form approximate solution of the non-linear diffusion equation of a power-law non-linearity of the diffusivity developed by the heat-balance integral method. The main step in the initial transformation of the governing equation avoiding the Kirchhoff transformation is demonstrated. The consequent application of the integral method is exemplified by a solution of a Dirichlet problem with an approximate parabolic profile. Cases with predetermined positive integer and optimized non-integer exponents have been analyzed.
dc.identifier.doi10.2298/TSCI140326074H
dc.identifier.issn0354-9836
dc.identifier.scopusSCOPUS_ID:84932186413en
dc.identifier.urihttps://rlib.uctm.edu/handle/123456789/338
dc.language.isoen
dc.source.urihttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84932186413&origin=inward
dc.titleAn approximate analytical (integral-balance) solution to a non-linear heat diffusion equation
dc.typeArticle
oaire.citation.issue2
oaire.citation.volume9
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