In this paper, a nonlinear problem for combined convective and radiative cooling of a spherical body is considered. This problem represents a strong nonlinearity in both the governing equation and the boundary condition. Analytic approximations for the solution of this problem are obtained using the homotopy analysis method and via a polynomial exponential basis. Also, the effect of the radiation-conduction parameter and the Biot number Bi for the temperature on the surface of the spherical body is investigated and discussed.
Analytic Approximations for a Strongly Nonlinear Problem of Combined Convective and Radiative Cooling of a Spherical Body
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El-Nahhas, A. (August 26, 2009). "Analytic Approximations for a Strongly Nonlinear Problem of Combined Convective and Radiative Cooling of a Spherical Body." ASME. J. Heat Transfer. November 2009; 131(11): 111703. https://doi.org/10.1115/1.3154625
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