Effect of Porosity and Geometry on Nonlinear Heat Transfer and Temperature Distribution of an Annular Porous Fin Subjected to Free Convection and Radiation

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In this research, heat transfer in an annular porous fin subjected to free convection and radiation will be evaluated. Heat transfer equation of the system will be a nonlinear extension of Sturm-Liouville BVP whose nonlinearity results from porosity. As revealed by computations and confirmed by perturbation solution method, nonlinearity of the equation is negligible and the contribution of porosity will be limited to thermal conductivity of the porous medium. The effect of contributing parameters on heat transfer and temperature distribution of the system will be assessed as well. Moreover, the region of maximum heat transfer of the fin will be represented.
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Porosity; Convection; Radiation; Nonlinear Heat Transfer; Series Solution

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