A numerical predictive model for conjugate heat transfer with radiation

Abstract

Taking into account radiation effects is a crucial part of the design and optimization of applications involving high temperatures. This paper outlines the development of a predictive coupling model for steady state conjugate heat transfer problems including radiative boundary conditions that models radiative exchanges between gray walls in a transparent medium. This canonical model is based on the Godunov-Ryabenkii normal mode analysis theory. The general expression of the amplification factor, the stability bounds and the optimal coefficients are provided. Moreover, a numerical Biot number including radiation effects that controls the stability of the model, is proposed. The destabilizing effect of radiation is highlighted and quantified. A specific test case is then presented to evaluate the consistency of this model. The numerical and physical parameters of this test case were specifically designed to target large fluid-structure interactions (ceramic material, high radiative coefficient). The numerical results fully comply with the theoretical results derived from the predictive model.

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