A Modified Spherical Harmonic Approximation for Radiative Transfer in a Refractive Slab

作者：Hou Ming Feng; Wu Chih Yang^*

来源：Journal of the Chinese Society of Mechanical Engineers, 2014, 35(6): 463-468.

• radiative heat transfer
• modified spherical harmonics approximation
• spatially varying refractive index
• anisotropic scattering

A modified spherical harmonics (P-n) approximation which applies the ordinary P approximation to solve the fairly diffuse part of radiation due to in-scattering and treats the attenuated incident intensity rigorously is developed. The modified third-order P-n approximation (MP3) is applied to analyze radiative heat transfer in a refractive slab exposed to diffuse irradiation. The refractive index of the medium is varying linearly. The results obtained by the MP3 approximation are in good agreement with the solutions of the integral equations and those obtained by the Monte Carlo method for the cases with various combinations of optical thicknesses, scattering albedos and variable refractive indices. The results show that the modified P approximation offers the possibility of more accurately treating the incident radiation at the boundaries which dominates the optically moderate and thin cases and the weak scattering cases.

• 出版日期2014-10