Abstract
A layer heated from both sides by plates as a result of radiative energy transport and a heat-conduction mechanism is considered. A system of differential equations describing radiation transport and heat transfer in the layer is formulated. Its solution is given on the basis of a fixed finite-difference approximation of the spatial derivatives that reduces the problem to a system of ordinary differential equations in time for the temperature and the radiation fluence in the process of heating of both the entire layer and separate portions of it.
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Vitkin, É.I., Ivanov, A.P. Heating kinetics of a plane-parallel light-scattering layer. J Eng Phys Thermophys 72, 204–207 (1999). https://doi.org/10.1007/BF02699138
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DOI: https://doi.org/10.1007/BF02699138