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A new solution for natural convection about a vertical cone embedded in porous media prescribed wall temperature using, power series - Pade

A new solution for natural convection about a vertical cone embedded in porous media prescribed wall temperature using, power series - Pade,10.1016/j.

A new solution for natural convection about a vertical cone embedded in porous media prescribed wall temperature using, power series - Pade  
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The combination of any series solutions with the Pade approximants provides a powerful tool for handling initial or boundary value problems on infinite or semi-infinite domains. This study apply an integrated Power series- Pade approximants technique (PS - Pade) to solve a system of nonlinear differential equations arising from the similarity solution for the natural convection of Darcian fluid about a vertical full cone embedded in porous media prescribed wall temperature. The results of present method are compared with numerical results as well as other resalts reported in literature. The obtained results in comparison with the numerical ones represent remarkable accuracy. Finally, Nusselt number, as an important parameter in heat transfer, is calculated by obtained analytical solution using Power series- Pade approximants technique.
Journal: Procedia Engineering , vol. 10, pp. 3749-3757, 2011
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