Effect of Band or Line Shape on Radiative Transfer in a Nongray Two-Dimensional Medium

Abstract

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.

Department(s)

Mechanical and Aerospace Engineering

International Standard Serial Number (ISSN)

0022-4073

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1977 Elsevier, All rights reserved.

Publication Date

01 Jan 1977

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