The heat-balance integral: 1. How to calibrate the parabolic profile?

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creativework.keywordsEntropy generation minimization, Half-time fractional derivative, Heat-balance integral method, Myers approach
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.abstractThe Heat-Balance Integral Method (HBIM) of Goodman under classic prescribed temperature boundary conditions has been studied towards it optimization. Because the parabolic profile satisfies both the boundary conditions and the heat-balance integral at any value of the exponent the calibration is of a primary importance in generation of the approximate solution. The simple 1-D heat conduction problem, enabling one to demonstrate the HBIM performance with the entropy generation minimization (EGM) concept in calibration of a parabolic temperature profile with unspecified exponents, has been developed. The EGM concept provides constraints that impose addition boundary conditions at the approximate parabolic profile. Additionally, entire domain optimizations based on the mean-squared error concept has been performed in two versions - the method Myers and through a similarity transformed diffusion equation. © 2012 Académie des sciences.
dc.identifier.doi10.1016/j.crme.2012.03.001
dc.identifier.issn1631-0721
dc.identifier.scopusSCOPUS_ID:84863202611en
dc.identifier.urihttps://rlib.uctm.edu/handle/123456789/247
dc.language.isoen
dc.source.urihttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84863202611&origin=inward
dc.titleThe heat-balance integral: 1. How to calibrate the parabolic profile?
dc.typeShort Survey
oaire.citation.issue7
oaire.citation.volume340
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