MATHEMATICAL MODEL OF PROCESS OF HEAT ACCUMULATION IN THE STATIONARY SWITCHES REGENERATIVE HEAT EXCHANGER
Is investigated the process of heat exchange between the air and the adapter in the stationary switches regenerative heat exchanger. The process of heat exchanger is characterized by the accumulation and recovering of the heat energy. In this paper a mathematical model of the process of accumulation of heat energy in a thermodynamic system «air-adapter» is constructed. A mathematical model is presented in the form of the initial-boundary value problem for a system of two differential equations with two unknown functions. The uniqueness of the solution of the initial-boundary value problem is proved by energy equalities and inequalities and then is constructed the formula of approximate solution by method of successive approximations. The formula of approximate solution allows to investigate the process of heat exchange between the air and the adapter quantitatively and qualitatively and to develop a computer virtual model of accumulation of heat. Graphics shows the desired functions.