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 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. © 1973.
W. F. Breig and A. L. Crosbie, "Two-Dimensional Radiative Equilibrium: A Semi-Infinite Medium Subjected to Cosine Varying Radiation," Journal of Quantitative Spectroscopy and Radiative Transfer, Elsevier, Jan 1973.
The definitive version is available at https://doi.org/10.1016/0022-4073(73)90050-2
Mechanical and Aerospace Engineering
Article - Journal
© 1973 Elsevier, All rights reserved.