Numerical study of the interaction of a pulsating drying agent with a solid porous moistened particle

About the authors:

Dinara A. Zainutdinova, Postgraduate Student, Department of Special Technologies in Education, Kazan National Research Technical University named after A. N. Tupolev — KAI, Kazan, Russia; zajjnutdinova-dinara@mail.ru, https://orcid.org/0009-0002-1482-6391

Grigory I. Pavlov, Dr. Sci. (Technology), Professor, Head of Department of Special Technologies in Education, Kazan National Research Technical University named after A. N. Tupolev — KAI, Kazan, Russia; pavlov16@mail.ru
Dmitriy A. Telyashov, Cand. Sc. (Technology), Department of Special Technologies in Education, Kazan National Research Technical University named after A. N. Tupolev — KAI, Kazan, Russia; assaulttelov@mail.ru

Abstract:

In this work, the interaction of a drying agent with a solid moistened spherical particle with a porous structure was investigated. Air with different flow modes, stationary and pulsating, was considered as a drying agent. By applying pulsations to the gas flow, heat and mass transfer between gases and particles can be significantly intensified. However, this does not happen in all cases and depends on many factors. The identification of these factors and the patterns of their influence on heat and mass transfer is an urgent scientific task. In this work, the rate of moisture removal from porous spherical particles of different diameters, with an initial moisture content of 50, 70, 90% by weight, was studied when blown with air with different flow modes, heated to temperatures of 50, 100, 150 °C. There is a sufficient number of works devoted to this topic. They mainly consider the effect of vibrations on heat and mass exchange processes in the range of low or ultrasonic frequencies. At the same time, it is noted in rare works that the advantages revealed by using vibrations could have a positive effect on heat and mass transfer in the range of sound vibrations, at frequencies of 50 Hz and higher — up to 500 Hz. There are no results of detailed studies in this area of frequencies in well-known works, although, in general, the prospects of using such fluctuations in order to intensify thermophysical processes are noted. In this regard, the authors of the work formulated the goals and objectives of research designed to supplement the available material on the effects of fluctuations on heat and mass transfer processes with new data. The study was carried out numerically in the COMSOL Multiphysics software environment.

References:

Alhanif M., Kumoro A. C., Wardhani D. H. (2022). Thin-layer drying of papaya Carica papaya seeds: drying kinetics, mathematical modeling and effective moisture diffusivity. AIP Conference Proceedings, 2610.

Akulich P. V., Akulich A. V. (2019). Convective drying installations: methods and calculation examples: textbook. Minsk: Vysheishaya shkola. 376 p.

Bokun I. A. (2011). Hydrodynamics and heat transfer in the process of drying wood waste in a pulsating layer. Energetika. Proceedings of higher educational institutions and energy associations of the CIS, 2, 52–55.

Gorokhovsky A. G., Shishkina E. E. (2019). Features of heat and mass transfer during drying of lumber with stepless modes. Conifers of the boreal zone, 2, 139–143.

De Munck M. J. A., Peters E. A. J. F., Kuipers J. A. M. (2023). Experimental study on vibrating fluidized bed solids drying. Chemical Engineering Journal, 472, 1–14.

Zhilin A. A. (2025). Study of the Drying Process of Porous Materials Under High-Intensity Acoustic Exposure // Engineering and Physical Journal, 98, 7, 1949–1960.

Zainutdinova D. A., Pavlov G. I., Gorbunova O. A. (2025). Experimental and Theoretical Study of the Interaction Between the Drying Agent and a Solid Moisturized Particle: Proceedings of the XXXVII Session of the Russian Acoustic Society. Moscow: LLC “GEOS Publishing”, 1020–1027.

Zhilin A. A., Kravchenko A. S., Fedorova N. N. (2018). Mathematical modeling of flow in the working part of an acoustoconvective drying system. AIP Conference Proceedings, 1939. Article ID 020018.

Efremov G. I. (2008). Modeling the kinetics of drying with a heating period. 6th Minsk International Forum on Heat and Mass Transfer MIF. May.

Jia D., Cathary O., Peng J. et al. (2015). Fluidization and drying of biomass particles in a vibrating fluidized bed with pulsed gas flow. Fuel Processing Technology, 138, 471–482.

Jin H., Wu Q., Wang S., He Y. (2024). Heat and mass transfer performance of non-spherical wet particles in a fluidized bed dryer. Applied Thermal Engineering, 236, 1–10.

Jin H., Wang S., He Y. (2025). Investigation of drying process of non-spherical particle in a pulsed fluidized bed. Particuology, 98, 134–141.

Karimov A. A., Mukolyants A. A., Sotnikova I. V. (2014). The influence of pulsating flow on the intensification of heat and mass transfer. 4th International Scientific and Technical Conference “Modern Innovations in Science and Technology”, 2, 223–226.

Kudashev S. F., Kudasheva O. V., Dushutina O. V., Ravilov R. R. (2019). Intensification of heat transfer in a plate heat exchanger due to pulsation of the coolant flow. Modern High Technologies, 10.

Mitropol V. V., Tsvetkov O. B. (2019). Fundamentals of mass transfer theory. St. Petersburg: ITMO University, 126.

Nabipoor Hassankiadeh M., Zarepour M., Zhang L. et al. (2024). Energy and exergy analysis of drying of potash particles in a pulsationg-assisted fluidized bed. International Journal of Heat and Mass Transfer, 222, 1–10.

Patankar S. (1984). Numerical methods for solving heat transfer and fluid dynamics problems: transl. from Engl. / ed. by V. D. Vilensky. M.: Energoatomizdat. 145 p.

Plotnikov L. V., Osipov L. E., Grigoriev N. I. et al. (2025). Gas dynamics and heat transfer of stationary and pulsating air flows in round and triangular straight pipelines at different degrees of turbulence. Proceedings of higher educational institutions. Problems of energetics, 27, 1, 88–102.

Sazhin B. S. (1984). Fundamentals of drying technology. M.: Khimiya. 316.

Setareh M., Assari M. R., Tabrizi H. B. (2024). Experimental and drying kinetics study on millet particles by a pulsating fluidized bed dryer. Heliyon, 10, 1–16.

Sinelnikov A. S. (1963). Application of Pulsating Flow Method in Fuel Chemical Technology. Proceedings of the All-Union Scientific and Technical Conference on Vibrational and Pulsating Combustion. Kazan University Publishing, Kazan, 163–166.

Stabnikov V. N., Barantsev V. I. (1974). Processes and equipment of food industries. M.: Food industry. 356.

Toktarov D. D., Ilyasova Z. A., Berezovskaya I. E., Gabitova Z. Kh. (2022). Computer modeling for studying physical processes. Universum: Technical sciences, 4 (97), 64–68.

Tu Q., Ma Z., Wang H. (2023). Investigation of wet particle drying process in a fluidized bed dryer by CFD simulation and experimental measurement. Chemical Engineering Journal, 452, 4–15.

Chen Li, Blocka Carter, Zhang Lifeng (2022). Experimental investigation on drying performance of pharmaceutical granules in a pulsation-assisted fluidized bed. The Canadian Journal of Chemical Engineering, 2608–2622. 

Khmelёv V. N., Shalunov A. V., Terentyev S. А., Golykh R. N., Nesterov V. А. (2024). Detection and Investigation of the Moisture Removal Mechanism from Materials Under Ultrasonic Contactless Exposure. Engineering and Physical Journal, 97, 4, 939–950.