Exact self-similar solutions for radiative heat transfer equations in a kinetic model with regular mode
V.V. Zaviyalov
E.I. Zababakhin’s RFNC-VNIITF, Snezhinsk , Russia
Keywords: radiative energy transfer, regular mode, exact solution
Abstract
The paper demonstrates a possibility of applying the known class of analytical self-similar solutions in the form of the traveling heat wave for a system of nonlinear integro-differential equations describing radiative transfer for non-stationary, quasi-stationary and regular modes of solution behavior. The solutions are constructed for a kinetic model in the Cartesian geometry under the assumption of local thermodynamic equilibrium with specially chosen absorption and scattering coefficients. A test problem for different solution modes is provided.
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