Research of processes of the heatmass transfer in the porous environments having stochastic characteristics on the basis of methods of applied synergetic

Institute of Service and Entrepreneurship (branch) “Don State Technical University” in Shakhty, 147, st. Shevchenko, 346500, Shakhty, Russia

^* Corresponding author: tudd@mail.ru

Abstract

On the basis of a synergetic approach, mathematical models of the stochastic similarity of the functioning of heat and mass transfer processes in porous media (grain materials) have been developed. In these models, the indicators of the stochastic characteristics of these media are combined with the parameters of the processes of hygrothermal treatment under vacuum conditions: residual pressure - P, temperature - T, time-τ, with a density of couple - ρ. The resulting models can be used to control hygrothermal processes in the processing of natural tanning and grain materials that have a stochastic character of the building. A method for the formation of mathematical models of stochastic similarity has been developed, including functional dependences of indicators of stochastic characteristics of materials subjected to hygrothermal treatment on parameters characterizing its state: input, setting, disturbing influences and internal (structural) system.