Solution of radiative transfer in a one-dimensional anisotropic scattering media with different boundary conditions using the DRESOR method

Zhi-Feng Huang, Qiang Cheng, Cheng He, and Huai-Chun ZhouState Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, ChinaThe DRESOR method was applied to analyze the radiative transfer process inanisotropic scattering media with different boundary conditions in this paper. Themethod was validated by the integral formulation of the radiative transfer equation atfirst. Some variation regulations about the emissivity were obtained by extensivenumerical simulations. When the optical thickness of the media became very large,the emissivity converged to a constant value. The converged emissivity in the forwardscattering medium was the largest and that for the backward scattering medium wasthe smallest. Also the converged emissivity was associated with the scattering albedoof the media. The greater the scattering albedo was, the smaller the convergedemissivity was. When the scattering albedo decreased to zero the converged emissivityreached the blackbody emissivity at the same temperature. Furthermore, differentboundary conditions were considered. The results showed that if the temperature ofthe medium and the boundary was equal, the intensity at boundary was the same asthat for the blackbody emission at the same temperature, whether the boundaryreflectivity was 1.0 or not. When the temperature of the boundary was lower than thatof the medium, the boundary emissivity can reach 1.0 only if ρ = 1.0. Finally, theradiation flux was studied with different phase functions and different boundaryconditions. © 2008 Wiley Periodicals, Inc. Heat Trans Asian Res, 37(3): 138–152,2008; Published online in Wiley InterScience (www.interscience.wiley.com). DOI10.1002/htj.20198