Calculation of Wall Heat Conductivity under Non-Symmetric Boundary Conditions

Abstract

A mathematical model for heating multi-layer walls with non-symmetric boundary surface conditions has been developed in the paper. Advancing of phase transformation front along cross-section is considered with the purpose to take into account phase and chemical transformations in high-impact coatings and the Dirac δ-function is applied in this case.While stating a problem nonlinear boundary conditions and differential equations of heat transfer with due account of thermal and physical characteristics dependence on temperature have been used in the paper. Solution of the problem has been realized by numerical methods in accordance with the developed algorithms.