Mathematical Model for the Evaluation of Temperature of the Surface Covered with a Heat-Insulating Layer.

We consider a mathematical model for the evaluation of temperature of a surface covered with a thin heat-insulating layer according to the data of measurements of temperature on the free surface of the coating and in the ambient medium. The model involves the mechanisms of conductive and radiation energy transfer in the volume of the layer, conductive and radiation heat exchange with the surface covered by the layer, convective and radiation heat exchange with the ambient medium on the free surface of the coating capable of emission, absorption, and reflection of thermal electromagnetic radiation. We also present the results of numerical analysis of the solutions of nonlinear problem based on the developed iterative procedure. [ABSTRACT FROM AUTHOR]