Physics
Scientific paper
Jul 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991jqsrt..46...31e&link_type=abstract
Journal of Quantitative Spectroscopy and Radiative Transfer (ISSN 0022-4073), vol. 46, July 1991, p. 31-40.
Physics
4
Albedo, Heat Flux, Isotropy, Radiative Transfer, Backscattering, Emissivity, Forward Scattering, Internal Energy, Legendre Functions, Light Scattering
Scientific paper
The radiative heat flux at the boundary of a sphere containing an internal energy source and subject to general boundary conditions is obtained in terms of the albedo of the corresponding source-free problem with isotropic boundary condition. The relations obtained apply to the general case of anisotropic scattering in an inhomogeneous medium. The advantage of these relations is the result of the fact that there is no need to obtain a particular solution for specified internal sources. Therefore, calculations can be done easily for a nonuniform source distribution. The phase function is approximated by using a linear anisotropic relation. The linear coefficient is taken to be the sum of the coefficients of the Legendre expansion of the phase function. The resulting relations are used to calculate the partial heat flux and emissivity for a given internal energy source and inhomogeneous medium.
Abulwafa Essam M.
Attia M. T.
El-Wakil Sayed A.
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