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

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dc.contributor.author Jooma, R.
dc.contributor.author Harley, C.
dc.date.accessioned 2017-11-08T09:31:59Z
dc.date.available 2017-11-08T09:31:59Z
dc.date.issued 2017
dc.identifier.citation Jooma, 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.issn 1687-9120 (Print)
dc.identifier.issn 1687-9139 (Online)
dc.identifier.uri http://hdl.handle.net/10539/23389
dc.description.abstract A 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.language.iso en en_ZA
dc.publisher Hindawi Publishing Corporation en_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.subject DIFFERENTIAL TRANSFORMATION METHOD en_ZA
dc.subject NATURAL-CONVECTION en_ZA
dc.subject ANNULAR FINS en_ZA
dc.subject TEMPERATURE en_ZA
dc.subject MODEL en_ZA
dc.subject SIMULATION en_ZA
dc.subject PROFILE en_ZA
dc.title Heat Transfer in a Porous Radial Fin: Analysis of Numerically Obtained Solutions en_ZA
dc.type Article en_ZA
dc.journal.volume 2017 en_ZA
dc.journal.title ADVANCES IN MATHEMATICAL PHYSICS en_ZA
dc.description.librarian EM2017 en_ZA
dc.citation.doi 10.1155/2017/1658305 en_ZA
dc.funder National Research Foundation, South Africa, Grant no. 91114. en_ZA


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