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Invariance, Conservation Laws, and Exact Solutions of the Nonlinear Cylindrical Fin Equation
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Saeed M. Ali
Published/Copyright:
June 2, 2014
Fins are heat exchange surfaces which are used widely in industry. The partial differential equation arising from heat transfer in a fin of cylindrical shape with temperature dependent thermal diffusivity are studied. The method of multipliers and invariance of the differential equations is employed to obtain conservation laws and perform double reduction.
Received: 2013-8-6
Revised: 2014-1-6
Published Online: 2014-6-2
Published in Print: 2014-6-1
© 1946 – 2014: Verlag der Zeitschrift für Naturforschung
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