Effect of Band or Line Shape on Radiative Transfer in a Nongray Two-Dimensional Medium
An exact formulation is presented for a nongray two-dimensional, finite, planar, absorbing-emitting medium in radiative equilibrium. The absorption coefficient consists of an array of equal intensity, nonoverlapping bands or lines. Rectangular, triangular, exponential, Doppler and Lorentz shapes are specifically considered. Exact expressions are obtained for a medium subjected to collimated and diffuse radiation. The integral equations are linearized by the narrow-band approximation. The solution for the cosine-varying, collimated, monochromatic radiation model is used to construct the solutions for other boundary conditions. The two-dimensional equations are reduced to one-dimensional equations by the method of separation of variables. Results for the diffuse case are presented for several spatial variations. © 1977.
A. L. Crosbie et al., "Effect of Band or Line Shape on Radiative Transfer in a Nongray Two-Dimensional Medium," Journal of Quantitative Spectroscopy and Radiative Transfer, Elsevier, Jan 1977.
The definitive version is available at http://dx.doi.org/10.1016/0022-4073(77)90129-7
Mechanical and Aerospace Engineering
Article - Journal
© 1977 Elsevier, All rights reserved.