The heat-balance integral: 2. Parabolic profile with a variable exponent: The concept, analysis and numerical experiments

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creativework.keywordsHeat-balance integral, LambertW function, Parabolic profile, Variable exponent
dc.contributor.authorHristov J.
dc.date.accessioned2024-07-10T14:27:03Z
dc.date.accessioned2024-07-10T14:47:58Z
dc.date.available2024-07-10T14:27:03Z
dc.date.available2024-07-10T14:47:58Z
dc.date.issued2012-07-01
dc.description.abstractA heat-balance integral method employing a parabolic profile with a variable (self-adapting) exponent has been developed. The parabolic profile satisfies both the boundary conditions and the heat-balance integral at any value of the exponent, while the optimal solution requires minimization of the mean-squared error defined by the domain parabolic equation. The concept of a variable exponent results in simple relationships involving the LambertW function and the initial values defined through the profile calibration at x= 0. Two simple 1-D problems with classic solutions are developed to demonstrate the method. © 2012 Académie des sciences.
dc.identifier.doi10.1016/j.crme.2012.03.002
dc.identifier.issn1631-0721
dc.identifier.scopusSCOPUS_ID:84863190919en
dc.identifier.urihttps://rlib.uctm.edu/handle/123456789/245
dc.language.isoen
dc.source.urihttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84863190919&origin=inward
dc.titleThe heat-balance integral: 2. Parabolic profile with a variable exponent: The concept, analysis and numerical experiments
dc.typeShort Survey
oaire.citation.issue7
oaire.citation.volume340
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