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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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Published in: | Journal of quantitative spectroscopy & radiative transfer 1973-12, Vol.13 (12), p.1395-1419 |
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Main Authors: | , |
Format: | Article |
Language: | English |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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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. |
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ISSN: | 0022-4073 1879-1352 |
DOI: | 10.1016/0022-4073(73)90050-2 |