A computational method for solving a class of coupled conductive-radiative heat transfer problems

Computer Science – Numerical Analysis

Scientific paper

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Conductive Heat Transfer, Radiative Heat Transfer, Spherical Harmonics, Spline Functions, Iteration, Nonlinear Equations, Numerical Analysis

Scientific paper

The PN method, also called the spherical harmonics method, is used along with Hermite cubic splines to define an iterative technique for solving a class of nonlinear problems in radiative transfer. Anisotropic scattering and specularly and diffusely reflecting boundaries are allowed for the steady-state, combined-mode, conductive-radiative, heat transfer problem considered. Computational aspects of the technique are discussed, and the method is used to establish the reported numerical results.

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