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On Combined Operational Method for Transfer Problems in Homogeneous, Spherical Media

Published online by Cambridge University Press:  12 April 2016

T. H. Kho
Affiliation:
Department of Mathematics, University of Singapore, Singapore
K. K. Sen
Affiliation:
Department of Mathematics, University of Singapore, Singapore

Abstract

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In this paper, the Combined Operational Method developed by Busbridge (1961) in connection with the radiative transfer problems in plane-parallel atmospheres has been extended to similar problems in isotropic scattering, homogeneous spherical media. The relevant auxiliary equation has been formulated, the scattering function defined and the integro-differential equation for such function deduced. For a medium having radial distribution of source in addition to the incident flux at the outer surface, the integro-differential equations for source function and emergent intensity have been established.

Type
Research Article
Copyright
Copyright © Reidel 1971

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