On the integral form of the equation of transfer for a homogeneous sphere

Details On the integral form of the equation of transfer for a homogeneous sphere On the integral form of the equation of transfer for a homogeneous sphere

Dec 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982jqsrt..28..503p&link_type=abstract

Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 28, Dec. 1982, p. 503-506. NSF-supported research.

Physics

14

Integral Equations, Integral Transformations, Radiation Sources, Radiative Transfer, Spheres, Boundary Value Problems, Diffuse Radiation, Energy Distribution, Existence Theorems, Exponential Functions, Homogeneity, Specular Reflection

Scientific paper

The integro-differential form of the transfer equation for radiation on a sphere is transformed into an integral form for the energy density. Consideration is given to a homogeneous sphere with internal radiative sources and external illumination, as well as a specularly and a diffusely reflecting surface. The integral form of the problem is potentially of use in the solution of a pseudo-slab problem.

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