Radiative Transfer in Linearly Anisotropic-scattering, Conservative and Non-conservative Slabs with Reflective Boundaries

نویسندگان

  • H. L. BEACH
  • C. E. SIEWERT
چکیده

Abstrae--The normal-mode-expansion technique is used to obtain a semi-analytical solution for the angular distribution of radiation at any optical distance within a linearly anisotropicscattering, absorbing, emitting, non-isothermal, gray medium between two parallel reflecting boundaries. Both conservative and nonconservative cases are considered. The general problem is decomposed into simpler problems, and the net radiative heat flux is calculated to “bench mark” accuracy for these basic problems for several representative combinations of surface reflectivities and emissivities. By the superposition of these basic solutions, the net radiative heat flux can be determmed for an absorbing, emitting, scattering slab with reflecting boundaries for the cases of uniform temperature and linearly varying fourth power of the temperature within the medium. Simple analytical expressions are presented for the intensity of radiation by utilizing firstand second-order approximations to the exact solution, and the accuracy of these approximations is evaluated for a variety of cases.

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تاریخ انتشار 1970