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A new fractional exothermic reactions model having constant heat source in porous media with power, exponential and Mittag-Leffler laws

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dc.contributor.author Kumar, Devendra
dc.contributor.author Singh, Jagdev
dc.contributor.author Tanwar, Kumud
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-02-12T07:12:09Z
dc.date.available 2020-02-12T07:12:09Z
dc.date.issued 2019-08
dc.identifier.citation Kumar, Devendra...et al. (2019). "A new fractional exothermic reactions model having constant heat source in porous media with power, exponential and Mittag-Leffler laws", International Journal of Heat and Mass Transfer, Vol. 138, pp. 1222-1227. tr_TR
dc.identifier.issn 0017-9310
dc.identifier.uri http://hdl.handle.net/20.500.12416/2427
dc.description.abstract The present article deals with the exothermic reactions model having constant heat source in the porous media with strong memory effects. The Caputo, Caputo-Fabrizio and Atangana-Baleanu fractional operators are used to induce memory effects in the mathematical modeling of exothermic reactions. The patterns of heat flow profiles are very essential for heat transfer in every kind of the thermal insulation. In the present investigation, we focus on the driving force problem due to the fact that temperature gradient is assumed. The mathematical equation of the problem is confined in a fractional energy balance equation (FEBE), which furnishes the temperature portrayal in conduction state having uniform heat source on steady state. The fractional Laplace decomposition technique is utilized to obtain the numerical solution of the corresponding FEBE describing the exothermic reactions. Some numerical results for the fractional exothermic reactions model are presented through graphs and tables. (C) 2019 Elsevier Ltd. All rights reserved. tr_TR
dc.language.iso eng tr_TR
dc.publisher Pergamon-Elsevier Science LTD tr_TR
dc.relation.isversionof 10.1016/j.ijheatmasstransfer.2019.04.094 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Fractional Exothermic Reactions Model tr_TR
dc.subject Porous Media tr_TR
dc.subject Heat Source tr_TR
dc.subject Fractional Derivatives tr_TR
dc.subject FLDM tr_TR
dc.title A new fractional exothermic reactions model having constant heat source in porous media with power, exponential and Mittag-Leffler laws tr_TR
dc.type article tr_TR
dc.relation.journal International Journal of Heat and Mass Transfer tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 138 tr_TR
dc.identifier.startpage 1222 tr_TR
dc.identifier.endpage 1227 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümü tr_TR


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