An Exact Solution for a Time-Dependent System of Radiative-Conductive Heat Transfer Equations

An exact self-similar solution of the type of a traveling heat wave for the time-dependent nonlinear system of radiative-conductive heat transport equations in the Cartesian geometry is considered. The radiation component is considered in the kinetic model with specially adjusted absorption and scattering coefficients. An example of the test problem in the plane geometry is given.