Local effective spectral and total emissivities of nonisothermal cavities having diffuse surfaces are evaluated. The effective emissivity of the cavity wall around the half-depth of a cylinder is little affected by a linear decrease or increase of temperature along the cavity axis because of a compensation effect. The nonisothermal effect on the integrated cavity emissivity changes considerably with cavity geometry for a given temperature distribution.
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Yoshiko Ohwada (1983) studied this question.
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