On coupled conductive-radiative heat-transfer problems in a sphere

Mathematics

Scientific paper

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Albedo, Hermitian Polynomial, Radiative Heat Transfer, Spheres, Spline Functions, Conductive Heat Transfer, Harmonic Functions, Iterative Solution, Temperature Distribution, Transformations (Mathematics)

Scientific paper

A sphere-to-plane transformation technique and the spherical harmonics method are used, along with Hermite cubic splines, to define an iterative technique for solving a class of nonlinear radiative transfer problems in a sphere. Computational aspects of the technique are discussed, and the method is used to establish numerical results for several test problems.

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