Mathematical Modeling of Temperature Field of Multilayer Enclosure Structures

Abstract

Abstract. The mathematical model of heat exchange process through multilayer enclosure structure is constructed. Herein infiltration and heatconducting inclusions are taken into account. Heat exchange process modeling in the stationary and non-stationary conditions is considered.The method of temperature field constructing based on the suggested model is offered. The three-dimensional boundary problem of non-stationary heat conductivity is solved numerically using the implicit method of alternating directions. The temperature field constructing of the enclosure structures in the non-stationary condition allows to track dynamics of thermal flows through enclosing structures and to receive the thermal resistance considering influence of heat-conducting inclusions.