THEORETICAL STUDIES OF THE INFLUENCE OF CURVATURE OF A SPHERICAL SURFACE ON THE DISTORTION OF CAPILLARY WAVES FORMED UNDER THE INFLUENCE OF CAVITATION
UYVGZF
DOI:
https://doi.org/10.25712/ASTU.2072-8921.2024.02.029Keywords:
ultrasonic, waves, cavitation, surface, disturbancesAbstract
The efficiency of mass transfer processes in gas-liquid systems is limited by the small diffusion coefficient of gas in liquid compared to the diffusion coefficient of gas in gas (10,000 times less or more). In this regard, the development of physical principles aimed at eliminating the limiting factors of the process is relevant. Since a low diffusion coefficient is a fundamental physical limitation of the process, an approach was considered based on increasing the area of the interfacial interaction surface due to the formation of capillary waves under the action of collapsing cavitation bubbles (maximum size 50...100 μm). In the presented article, the interfacial interaction surface is a perturbed spherical shell. Consideration of a spherical shell is due to the fact that the most effective way to implement gas-liquid interphase interaction is to bubble a continuous liquid phase in the form of large bubbles up to several mm in size. To date, models for the formation of capillary waves on a flat surface are known. However, the formation of capillary waves on the surface of a spherical bubble in the presence of a volume of surrounding liquid was considered only from the point of view of general expressions for the natural frequencies of oscillations of the bubble, without considering the influence of the curvature of the spherical surface on the distortion of the waves. A hydrodynamic model of the formation of capillary waves is proposed, taking into account distortions caused by the shape of the spherical surface. An algorithm for an approximate analytical solution of the equation has been developed, based on an asymptotic expansion in the mean curvature of the surface. It has been established that distortions of the initial surface in the form of spherical curvature do not affect the length of the generated waves, but lead to local spatial modulation of the amplitude along the surface
References
Yusof, N.S.M., Anandan, S., Sivashanmugam, P., Flores, E.M.M. & Ashokkumar, M. (2019). A correlation be-tween cavitation bubble temperature, sonoluminescence and interfacial chemistry. Ultrasonics Sonochemistry, 85, 1-10. https://doi.org/10.1016/j.ultsonch.2022.105988.
Krasil’nikov, V.A. & Krylov, V.V. (1984). Introduction to physical acoustics. Nauka. 403 с. (in russ.).
Golykh, R.N. (2020). Increasing the efficiency of ul-trasonic oscillations on the processes in systems with liquid phase : autoref. dis. … kand. tehn. nauk. (in russ.).
Naidji, B., Hallez, L., Taouil, A.E., Rebetez, M. & Hihn, J.-Y. (2017). Influence of pressure on ultrasonic cavita-tion activity in room temperature ionic liquids: An electro-chemical study. Ultrasonics Sonochemistry, 54, 129-134. https://doi.org/10.1016/j.ultsonch.2019.02.007.
Mamvura, T.A., Iyuke, S.E. & Paterson, A.E. (2020). Energy changes during use of high-power ultra-sound on food grade surfaces. South African Journal of Chemical Engineering, 62-73. https://doi.org/10.1016/j.sajce. 2017.12.001.
Zhao, S., Yao, C., Zhang, Q., Chen, G. & Yuan, Q. (2019). Acoustic cavitation and ultrasound-assisted nitration process in ultrasonic microreactors: The effects of channel dimension, solvent properties and temperature. Chemical Engineering Journal, 374, 68-78. https://doi.org/10.1016/ j.cej.2019.05.157.
King, W.G., Lee, M.D., Affam, A.C., Chung, W.C., Swee, I.W.C. & Adebayo, J.O. (2019). Application of hybrid ultrasonic cavitation/adsorption and coagulation for treatment of palm oil mill effluent. Nucleation and Atmospheric Aerosols. https://doi.org/10.1063/1.5117068
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 Roman N. Golykh, Vyacheslav D. Minakov
This work is licensed under a Creative Commons Attribution 4.0 International License.
.
This work is licensed under a 
