Accession Number : AD0664904
Title : FLUX EQUIVALENCES AMONG RAYLEIGH, ISOTROPIC, AND OTHER SCATTERING MODELS,
Corporate Author : RAND CORP SANTA MONICA CALIF
Personal Author(s) : Kagiwada,H. ; Kalaba,R. ; Segerblom,R.
Report Date : JAN 1968
Pagination or Media Count : 38
Abstract : High-precision numerical methods are used to find the transmitted and reflected fluxes for conservative isotropic scattering and Rayleigh scattering, for a wide range of slab thicknesses. Idealized models are then used to derive simple analytical expressions. These expressions are evaluated numerically, and the results are compared against the earlier calculations. The fluxes from all models are in excellent agreement with the high-precision calculations for all optical thicknesses from zero to fifty, indicating that the formulas derived provide very good approximations to the diffusely reflected fluxes. It is also shown that the external fluxes are virtually independent of the nature of the local scattering law for the cases considered.
Descriptors : (*THERMAL RADIATION, MATHEMATICAL MODELS), SCATTERING, REFLECTION, APPROXIMATION(MATHEMATICS), ABSORPTION, HEAT TRANSFER, NUMERICAL ANALYSIS, TABLES(DATA)
Subject Categories : Thermodynamics
Distribution Statement : APPROVED FOR PUBLIC RELEASE