Mathematical simulation of the mechanism of acoustic drying of porous materials

A mathematical model is proposed for the description of moisture extraction during drying of materials in an acoustic field, and its asymptotic filtration approximation is analyzed. The calculated time of pressure relaxation in the specimen in the filtration model is found to be in good agreement with the calculation results obtained by solving equations of mechanics of heterogeneous media. The proposed model has solutions of the traveling acoustic wave type, which are stable in time and space, and adequately describes the initial stage of the process of acoustic drying.