TY - JOUR
T1 - Use of eigenfunctions for solving radiation transfer in anisotropically scattering, plane-parallel media
AU - Thynell, S. T.
AU - Özişik, M. N.
PY - 1986
Y1 - 1986
N2 - Radiation transfer in an absorbing, emitting, gray, anisotropically scattering, plane-parallel medium is solved by using the naturally occurring eigenfunctions, and expressions for the forward and backward radiation intensities, the incident radiation, and forward and backward radiation heat fluxes are presented. To illustrate the method of solution, the situation involving an externally incident isotropic radiation at the boundary surface x=0 and no energy sources in the medium is considered for the cases of four different scattering phase functions. It is shown that the convergence to the exact results is fast, and that lower order approximations are accurate. In addition, the present method of solution has an excellent potential for generalization to problems of plane-parallel media without azimuthal symmetry and to problems in cylindrical and spherical geometries.
AB - Radiation transfer in an absorbing, emitting, gray, anisotropically scattering, plane-parallel medium is solved by using the naturally occurring eigenfunctions, and expressions for the forward and backward radiation intensities, the incident radiation, and forward and backward radiation heat fluxes are presented. To illustrate the method of solution, the situation involving an externally incident isotropic radiation at the boundary surface x=0 and no energy sources in the medium is considered for the cases of four different scattering phase functions. It is shown that the convergence to the exact results is fast, and that lower order approximations are accurate. In addition, the present method of solution has an excellent potential for generalization to problems of plane-parallel media without azimuthal symmetry and to problems in cylindrical and spherical geometries.
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U2 - 10.1063/1.337445
DO - 10.1063/1.337445
M3 - Article
AN - SCOPUS:0009152282
SN - 0021-8979
VL - 60
SP - 541
EP - 551
JO - Journal of Applied Physics
JF - Journal of Applied Physics
IS - 2
ER -