Application of the Fourier method to solve the problems of the theory of drying by electromagnetic radiation

Abstract

On the basis of the idea of splitting the process into physical factors, using the Fourier method and the green function apparatus, an algorithm for constructing a new class of solutions to the initial boundary value problems of the theory of drying by electromagnetic radiation is developed. A subclass of asymptotic solutions, which are obtained by the limiting transition and give a description of the established drying processes, is distinguished. The dependences of the temperature and moisture content fields on time in such solutions are determined by the first eigenvalues of the Sturm Liouville problem, and the distributions of these fields in space are the first eigenfunctions of this problem. The analysis of asymptotic solutions allows us to establish and visualize the basic laws of electromagnetic drying, which can be used for engineering estimates of process parameters and the calculation of temperature and moisture content fields in the first approximation.

Keywords

• lykov equations
• electromagnetic drying
• initial-boundary value problem
• fourier method
• sturm – liouville problem
• green function
• analytical and numerical methods