Abstract
The purpose of this study is to extend the zone method to gray, absorping, emitting and linearly-anisotropic scattering media enclosed in an infinite plane layer. The medium is assumed to be homogeneous and has a refractive index of unity. The boundary surfaces are gray, diffusely emitting and reflecting, and opaque with constant temperature. The governing radiative transport equation is solved. The resulting integral expressions are discretized under the assumption of uniform temperature within each zone. The divergence of the radiative flux and net wall radiation terms are expressed in terms of total exchange areas (TEA). Expressions for special cases are presented and the results are compared with those of a previous study. The properties of TEA are also studied, and the results are summarized. The zone method is applied to radiative equilibrium and to heat transfer by combined conduction and radiation. Good agreement with results from other methods indicates the accuracy of the zone method as well as its compatibility with other modes of heat transfer. Based on the formulation, the same approach may be applied to develop zone method expressions for multi-dimensional problems.
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