く形容器内の非等方性散乱体を含む放射輸送式のP_N近似

概要

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The first (P_1) and the third (P_3) spherical harmonics approximations of a radiative transfer equation in rectangular enclosures containing anisotropically scattering media are studied with boundary conditions of the diffusely emissive and reflective wall, the diffuse irradiation of known intensity from outside and the transparent boundary. Inhomogeneties in the radiative properties of the medium, as well as in the radiation characteristics of the boundaries, are allowed for to take into account the real condition of radiative heat transfer. The governing differential equations and the boundary conditions are systematically displayed for the one-, two- and three- dimensional Car-tesian coordinates, correcting errors and misprints in the previous studies. The P_3 approximation may be considered to be the optimal choice as far as accuracy and computational efforts are concerned, because it may yield accurate heat flux predictions for optical thicknesses greater than unity and is compatible with the finite difference schemes required for flow and temperature field calculations.
一般社団法人日本機械学会の論文
1988-08-25