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A Lie Symmetry Classification of a Nonlinear Fin Equation in Cylindrical Coordinates

Author

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  • Saeed M. Ali
  • Ashfaque H. Bokhari
  • F. D. Zaman

Abstract

The nonlinear fin equation in cylindrical coordinates is considered. Assuming a radial variable heat transfer coefficient and temperature dependent thermal conductivity, a complete classification of these two functions is obtained via Lie symmetry analysis. Using these Lie symmetries, we carry out reduction of the fin equation and whenever possible exact solutions are obtained.

Suggested Citation

  • Saeed M. Ali & Ashfaque H. Bokhari & F. D. Zaman, 2014. "A Lie Symmetry Classification of a Nonlinear Fin Equation in Cylindrical Coordinates," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-10, June.
    • Handle: RePEc:hin:jnlaaa:527410
    DOI: 10.1155/2014/527410
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    Cited by:

    1. M. G. Sobamowo, 2019. "Optimum Design and Performance Analyses of Convective-Radiative Cooling Fin under the Influence of Magnetic Field Using Finite Element Method," Journal of Optimization, Hindawi, vol. 2019, pages 1-19, February.

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