ARTICLE:

• RADIATIVE-CONDUCTIVE TEMPERATURE WAVES IN HALF-INFINITE SEMI-TRANSPARENT MEDIA  download article

Andrei V. Galaktionov
Institute for High Temperatures, Russian Academy of Sciences, 13/19 Izhorskaya, Moscow, 127412, Russia

ABSTRACT

The interaction between radiative and conductive heat transfer is analyzed in semi-transparent gray non-scattering media under periodical external heat action. Two dimensionless parameters are proposed for radiative-conductive temperature waves classification. Singular eigenfunction expansion method is used to obtain an exact quasi-steady solution to the system of radiative transport and energy equations. The problem is reduced to a singular integral equation of the Cauchy type. Exact analytical solution is written out in case of simplest boundary condition. Regularization of the singular integral equation is proposed in case of scattered and reflected boundary. Numerical technique for solution of the equation is developed. New effect of temperature wave bifurcation is briefly discussed. Effect of different type of reflection from the boundary on temperature wave propagation is examined.

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