INVESTIGATION OF THERMAL RESONANCE IN SOLUTION OF A TWO‐DIMENSIONAL SINGULARLY PERTURBED BOUNDARY‐VALUE PROBLEM OF NONSTATIONARY HEAT CONDUCTION WITH NONLINEAR BOUNDARY CONDITIONS OF THE STEFAN–BOLTZMANN TYPE

    loading  Checking for direct PDF access through Ovid

Abstract

Data of the analytical‐numerical parametric investigation of a singularly perturbed temperature field in the boundary layer of the side of a rectangle on which nonlinear boundary conditions of the Stefan–Boltzmann type are specified have been given. It has been established that a nonuniform initial temperature distribution of the Gaussian type causes the appearance of “discontinuous traveling thermal waves” in the corresponding boundary layer. A set of parameters for which the “discontinuous traveling thermal waves,” being superimposed, lead to a local nonlinear enhancement of the thermal field has been found. This effect can be considered as “thermal resonance.”

Related Topics

    loading  Loading Related Articles