High-Temperature Thermal Front in a Medium with Nonlinear Thermal Conductivity

摘要

Media with constant (or piecewise constant) thermal conductivity are traditionally considered in the classical theory of thermal waves. In this case, the developed technique of mathematical physics can be applied, and the temperature field can be analytically represented in the exponential description. The structure of a high-temperature field in a medium with a power temperature dependence of thermal conductivity was first determined in [1]. As was shown, there is a distinct boundary separating the heated area from the cold area, where thermal perturbation has not yet penetrated. This boundary propagates with a finite velocity, in contrast to the case of linear thermal conductivity,where heat propagates instantaneously over the entire space. Nonlinear thermal conductivity is characteristic for highpower processes with the radiative mechanism of heat exchange.