Analytic Approximations for a Strongly Nonlinear Problem of Combined Convective and Radiative Cooling of a Spherical Body

作者：El Nahhas A^*

来源：Journal of Heat Transfer-Transactions of the ASME, 2009, 131(11): 111703.

DOI：10.1115/1.3154625

• partial differential equations
• boundary value problems
• unsteady nonlinear heat-conduction problems
• combined convective and radiative cooling
• homotopy analysis method

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 N(rc) and the Biot number Bi for the temperature on the surface of the spherical body is investigated and discussed. [DOI: 10.1115/1.3154625]

• 出版日期2009-11