Моделювання процесів в теплоенергетиці за допомогою використання дробових похідних

Abstract

Symbolic models of technological processes in the heat power engineering, based on classic differential equations, fail to provide certainty in some cases and may contain considerable skewing. The object of this research is dynamic and static processes of heat power systems, that are described by means of differential equations of fraction order, specifically, the processes of temperature alternation in heat-exchange units. The aim of the article is to use the method of reduction of order to provide analytical solution of heat and mass transfer problems in different environments, with different boundary conditions, for flat, cylindrical and spherical surfaces on the edge of heat carriers in motion. The paper reveals, that the use of the theory of fractional estimation to describe the processes of coordinate alternation in heat-exchange units allows finding solution in the cases of other mathematical methods inefficiency.