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Two-dimensional radiative equilibrium: A semi-infinite medium subjected to cosine varying radiation

Exact numerical solutions are presented for the radiative flux and emissive power at the boundary of a semi-infinite, two-dimensional, planar, absorbing-emitting, gray medium subjected to cosine-varying collimated and cosine-varying diffuse boundary radiation, respectively. The emissive power at the...

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Bibliographic Details
Published in:Journal of quantitative spectroscopy & radiative transfer 1973-12, Vol.13 (12), p.1395-1419
Main Authors: Breig, W.F., Crosbie, A.L.
Format: Article
Language:English
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Summary:Exact numerical solutions are presented for the radiative flux and emissive power at the boundary of a semi-infinite, two-dimensional, planar, absorbing-emitting, gray medium subjected to cosine-varying collimated and cosine-varying diffuse boundary radiation, respectively. The emissive power at the boundary due to the cosine varying collimated boundary condition is shown to be a generalized H-function which is analogous to the H-function of Chandrasekhar. The nonlinear integral equation of the Chandrasekhar type is developed for the generalized H-function and solved for a wide range of the parameters. The emissive power and radiative flux at the boundary for the cosine-varying diffuse model, as well as the radiative flux for the cosine-varying collimated model, are expressed in terms of the generalized H-function and solved numerically.
ISSN:0022-4073
1879-1352
DOI:10.1016/0022-4073(73)90050-2