Heat Transfer in a Porous Radial Fin: Analysis of Numerically Obtained Solutions

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dc.citation.doi10.1155/2017/1658305en_ZA
dc.contributor.authorJooma, R.
dc.contributor.authorHarley, C.
dc.date.accessioned2017-11-08T09:31:59Z
dc.date.available2017-11-08T09:31:59Z
dc.date.issued2017
dc.description.abstractA time dependent nonlinear partial differential equation modelling heat transfer in a porous radial fin is considered. The Differential Transformation Method is employed in order to account for the steady state case. These solutions are then used as a means of assessing the validity of the numerical solutions obtained via the Crank-Nicolson finite difference method. In order to engage in the stability of this scheme we conduct a stability and dynamical systems analysis. These provide us with an assessment of the impact of the nonlinear sink terms on the stability of the numerical scheme employed and on the dynamics of the solutions.en_ZA
dc.description.librarianEM2017en_ZA
dc.funderNational Research Foundation, South Africa, Grant no. 91114.en_ZA
dc.identifier.citationJooma, R and Harley, C. 2017. Heat Transfer in a Porous Radial Fin: Analysis of Numerically Obtained Solutions. ADVANCES IN MATHEMATICAL PHYSICS 2017, Article number 1658305.en_ZA
dc.identifier.issn1687-9120 (Print)
dc.identifier.issn1687-9139 (Online)
dc.identifier.urihttp://hdl.handle.net/10539/23389
dc.journal.titleADVANCES IN MATHEMATICAL PHYSICSen_ZA
dc.journal.volume2017en_ZA
dc.language.isoenen_ZA
dc.publisherHindawi Publishing Corporationen_ZA
dc.rights© 2017 R. Jooma and C. Harley. This is an open access article distributed under the Creative Commons Attribution License.en_ZA
dc.subjectDIFFERENTIAL TRANSFORMATION METHODen_ZA
dc.subjectNATURAL-CONVECTIONen_ZA
dc.subjectANNULAR FINSen_ZA
dc.subjectTEMPERATUREen_ZA
dc.subjectMODELen_ZA
dc.subjectSIMULATIONen_ZA
dc.subjectPROFILEen_ZA
dc.titleHeat Transfer in a Porous Radial Fin: Analysis of Numerically Obtained Solutionsen_ZA
dc.typeArticleen_ZA
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