Similarity analysis of a nonlinear fin equation

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dc.contributor.authorPakdemirli M.
dc.contributor.authorSahin A.Z.
dc.date.accessioned2024-07-22T08:23:25Z
dc.date.available2024-07-22T08:23:25Z
dc.date.issued2006
dc.description.abstractA nonlinear fin equation in which the thermal conductivity is an arbitrary function of the temperature and the heat transfer coefficient is an arbitrary function of a spatial variable is considered. Scaling, translational and spiral group symmetries of the equations are determined. Classification of the functions for which these symmetries exist is performed. In general, no useful symmetries exist for arbitrary thermal conductivity and heat transfer coefficients. However, for some restricted forms of the functions, useful symmetries exist. A similarity transformation is used to reduce the partial differential equation to an ordinary differential equation as an example. © 2005 Elsevier Ltd. All rights reserved.
dc.identifier.DOI-ID10.1016/j.aml.2005.04.017
dc.identifier.issn08939659
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/19532
dc.language.isoEnglish
dc.rightsAll Open Access; Hybrid Gold Open Access
dc.subjectFins (heat exchange)
dc.subjectFunctions
dc.subjectHeat transfer
dc.subjectMathematical transformations
dc.subjectPartial differential equations
dc.subjectThermal conductivity
dc.subjectArbitrary function
dc.subjectSimilarity transformations
dc.subjectSpiral group symmetries
dc.subjectNonlinear equations
dc.titleSimilarity analysis of a nonlinear fin equation
dc.typeArticle

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