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

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  • R. Jooma
  • C. Harley

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.

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  • R. Jooma & C. Harley, 2017. "Heat Transfer in a Porous Radial Fin: Analysis of Numerically Obtained Solutions," Advances in Mathematical Physics, Hindawi, vol. 2017, pages 1-20, June.
    • Handle: RePEc:hin:jnlamp:1658305
    DOI: 10.1155/2017/1658305
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    Cited by:

    1. Kundu, Balaram & Yook, Se-Jin, 2021. "An accurate approach for thermal analysis of porous longitudinal, spine and radial fins with all nonlinearity effects – analytical and unified assessment," Applied Mathematics and Computation, Elsevier, vol. 402(C).

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