Modeling of non-isothermal gas flow through a heterogeneous medium

Abstract

A porous media model as a system of two interacting imaginary media is proposed to solve the problem of studying the process of heating of solar thermal station reactor, which is a large long tube filled with rock. The heating is the result of a motioned heat gas flow with the initial constant rate and temperature. The process is described by two one-dimensional non-stationary differential equations of heat transfer convecion and complemented by the equation of mass conservation and temperature dependence for gas density. For the difference realization of obtained problems with the solution, which has a large gradient in a restricted area, a differential approximation method with artificial viscosity coefficient introduction is used. The behavior of a difference solution in the vicinity of area with abrupt temperature change, depending on introduced pseudo viscosity, is studied. The specific applied problem simplified model with the constant coefficient equation, which allows essentially reduced computing time, has been used.