Abstract:
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.
Citation:
A. A. Zhilin, A. V. Fedorov, Yu. G. Korobeinikov, V. M. Fomin, “Mathematical simulation of the mechanism of acoustic drying of porous materials”, Prikl. Mekh. Tekh. Fiz., 44:5 (2003), 102–117; J. Appl. Mech. Tech. Phys., 44:5 (2003), 685–698
\Bibitem{ZhiFedKor03}
\by A.~A.~Zhilin, A.~V.~Fedorov, Yu.~G.~Korobeinikov, V.~M.~Fomin
\paper Mathematical simulation of the mechanism of acoustic drying of porous materials
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2003
\vol 44
\issue 5
\pages 102--117
\mathnet{http://mi.mathnet.ru/pmtf2543}
\elib{https://elibrary.ru/item.asp?id=17274835}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2003
\vol 44
\issue 5
\pages 685--698
\crossref{https://doi.org/10.1023/A:1025560505071}
Linking options:
https://www.mathnet.ru/eng/pmtf2543
https://www.mathnet.ru/eng/pmtf/v44/i5/p102
This publication is cited in the following 7 articles:
Alexander Zhilin, ACTUAL PROBLEMS OF CONTINUUM MECHANICS: EXPERIMENT, THEORY, AND APPLICATIONS, 2504, ACTUAL PROBLEMS OF CONTINUUM MECHANICS: EXPERIMENT, THEORY, AND APPLICATIONS, 2023, 030115
S. A. Dolgodvorov, A. A. Zhilin, ACTUAL PROBLEMS OF CONTINUUM MECHANICS: EXPERIMENT, THEORY, AND APPLICATIONS, 2504, ACTUAL PROBLEMS OF CONTINUUM MECHANICS: EXPERIMENT, THEORY, AND APPLICATIONS, 2023, 030008
A. A. Zhilin, HIGH-ENERGY PROCESSES IN CONDENSED MATTER (HEPCM 2019): Proceedings of the XXVI Conference on High-Energy Processes in Condensed Matter, dedicated to the 150th anniversary of the birth of S.A. Chaplygin, 2125, HIGH-ENERGY PROCESSES IN CONDENSED MATTER (HEPCM 2019): Proceedings of the XXVI Conference on High-Energy Processes in Condensed Matter, dedicated to the 150th anniversary of the birth of S.A. Chaplygin, 2019, 030085
Aleksandr Zhilin, Aleksandr Zhilin, Aleksandr Fedorov, Aleksandr Fedorov, Dmitry Grebenshchikov, Dmitry Grebenshchikov, “Dynamics of acousto-convective drying of sunflower cake compared with drying by a traditional thermo-convective method”, Foods and Raw Materials, 6:2 (2018), 370
A. A. Zhilin, E. A. Golubev, AIP Conference Proceedings, 1939, 2018, 020016
A. A. Zhilin, AIP Conference Proceedings, 1893, 2017, 030138
A. A. Gubaidullin, O. Yu. Boldyreva, D. N. Dudko, “Interaction of acoustic waves with porous layer”, Thermophys. Aeromech., 16:3 (2009), 429