Physical and Mathematical Modeling of the Process of Warming of the Greenhouse Soil

Statement of the problem. One of the main components of heat exchange in summer and seasonal greenhouses is investigated, i. e., the distribution of the temperature field in the heated soil. Results. Under the assumption of homogeneity of the semi-bounded space, which is a soil massif, the heat conduction equation with constant thermal and physical parameters is solved. It is shown that using the principle of superposition of solutions, as well as the properties of linearity and homogeneity of the equations, it is possible to apply (in order to study the dynamics of the temperature field in the closed ground of summer greenhouses) the method of heat waves with periodically changing boundary forces. In addition, the effectiveness of the application of mathematical physics methods using the dimension method in finding a partial solution to the heat conduction equation in order to model the process of soil heating in the conditions of a seasonal greenhouse is shown. Conclusions. Analytical expressions are obtained that allow us to determine the degree of heating of the soil layer of the summer greenhouse depending on the fluctuations of the temperature wave. For the soil of seasonal greenhouses, an expression was obtained for the change of the temperature gradient on the surface of the soil depending on the time of heating.