Transition to elliptic equations in the study of asymptotic modes of electromagnetic dryin
The initial boundary value problem for calculating the temperature and moisture content fields for electromagnetic drying of a sample with a capillary-porous structure and arbitrary geometry is formulated. An algorithm has been developed for numerical investigation of time-asymptotic fields of heat and mass transfer that occur after the decay of transients. It is shown that in the transition to asymptotics, the original non-stationary initial boundary value problem for two related parabolic equations can be replaced by two independently solvable stationary boundary value problems for elliptic equations. Due to the change in the problem statement, the algorithm for numerical study of the electromagnetic drying process is significantly simplified, becomes convenient for correction and debugging, and the results obtained using it, allowing for visual interpretation, allow us to determine the effect on drying of each of the various parameters and functions included in the mathematical model. In turn, this makes it possible to solve the problems of organizing optimal modes of radiation drying by simple means.