THERMAL ANALYSIS OF LONGITUDINAL A POROUS FIN WITH TEMPERATURE-DEPENDENT INTERNAL HEAT GENERATION USING THE VARIATION OF PARAMETERS METHOD

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dc.contributor.authorGungor, Osman
dc.contributor.authorArslanturk, Cihat
dc.date.accessioned2024-10-04T18:54:02Z
dc.date.available2024-10-04T18:54:02Z
dc.date.issued2020
dc.departmentBayburt Üniversitesien_US
dc.description.abstractThe present study investigates the thermal performance of longitudinal a porous fin with temperature-dependent internal heat generation. The Darcy model is utilized to obtain the differential form of the governing equation that solves the nonlinear temperature distribution equation using the method of variation of parameters. Although this method is applied to solve both linear and nonlinear differential equations, there exist rare applications of this method to solve nonlinear heat transfer problems. In the present study, we applied the method to estimate the thermal analysis of the porous fin exposed to convection. The heat generation is assumed as a function of temperature. The effects of the convection parameter N-c, internal heat generation epsilon, porosity S-h and generation number G parameter on the dimensionless temperature distribution are discussed in detail. The accuracy of the variation of parameters method is verified through comparison with homotopy perturbation method and the Matlab bvp4c solver (NUM). The results have disclosed that the variation of parameters method can be used as a very effective and practical approach for further studies of the porous medium.en_US
dc.identifier.doi10.17512/jamcm.2020.3.01
dc.identifier.endpage16en_US
dc.identifier.issn2299-9965
dc.identifier.issn2353-0588
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85153733266en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage5en_US
dc.identifier.urihttps://doi.org/10.17512/jamcm.2020.3.01
dc.identifier.urihttp://hdl.handle.net/20.500.12403/3840
dc.identifier.volume19en_US
dc.identifier.wosWOS:000575860700001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherCzestochowa Univ Technology, Inst Mathematicsen_US
dc.relation.ispartofJournal of Applied Mathematics and Computational Mechanicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectvariation of parameters methoden_US
dc.subjectporous finen_US
dc.subjectheat generationen_US
dc.subjectexact solutionen_US
dc.titleTHERMAL ANALYSIS OF LONGITUDINAL A POROUS FIN WITH TEMPERATURE-DEPENDENT INTERNAL HEAT GENERATION USING THE VARIATION OF PARAMETERS METHODen_US
dc.typeArticleen_US

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