COMPOSITE DISCRETE-ORDINATE SOLUTIONS FOR RADIATIVE TRANSFER IN A TWO-LAYER MEDIUM WITH FRESNEL INTERFACES

Abstract

The discrete-ordiaate method using composite quadrature is extended to analyze radiative transfer in a two-layer scattering medium with Fresnet interfaces. Since the discrete ordinates used in the present method depend on the critical angles at the interfaces, the discrete ordinates for each of the two layers may be different. Thus a technique adopting the formal solution of the radiation intensity leaving the interface from one layer to determine the intensity on the discrete ordinates of the other is presented. We apply the technique to obtain the hemispherical reflectivity and transmissivity of a two-layer medium. The effects of albedos, refractive indices, and various reflecting models at the lower surface of the medium are investigated.

Notes

Address correspondence to Professor Chih-Yang Wu, Department of Mechanical Engineering, National Cheng Kung University, Tainan, Taiwan 701, Republic of China.