Radiant Interchange in a Nonisothermal Rectangular Cavity
The influence of an exponentially decreasing temperature distribution on radiant interchange in a rectangular cavity is investigated using Ambarzumian's method. The rectangular cavity is defined by two semi-infinite parallel, diffuse gray surfaces, and a finite black surface. The radiosity at the edge of the cavity is shown to satisfy a nonlinear integral equation which is easily solved by iteration. For an isothermal cavity, the radiosity at the edge of the cavity is equal to the inverse of the square root of the emittance. Without calculating the radiosity distribution inside the cavity, the overall heat transfer is expressed in terms of the radiosity at the edge of the cavity. Numerical results are presented for a wide range of temperature distributions and reflectances. 11 refs.
A. L. Crosbie and T. R. Sawheny, "Radiant Interchange in a Nonisothermal Rectangular Cavity," AIAA Journal, American Institute of Aeronautics and Astronautics (AIAA), Jan 1975.
The definitive version is available at https://doi.org/10.2514/3.49724
Mechanical and Aerospace Engineering
International Standard Serial Number (ISSN)
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© 1975 American Institute of Aeronautics and Astronautics (AIAA), All rights reserved.