Research into resonance phenomena in gas-vapor bubbles
DOI:
https://doi.org/10.15587/1729-4061.2018.123957Keywords:
sound waves, gas-vapor bubble, resonance frequency, multi-bubble, surface active substancesAbstract
In order to calculate resonating gas bubbles, the mathematical model was supplemented by taking into account phase-transition processes on the surface of a bubble in gas-vapor media, as well as the thermal effects at gas dissolution in fluid. A series of calculations of the resonance mode for bubbles of dimensions of 0.5‒3 mm in water at temperatures from +1 to +99 °C and atmospheric pressure was performed. As a result of mathematical modeling, the possibility of resonance in gas-vapor bubbles in water in the frequency range of 0.5–5 kHz was established.
It was shown that in the resonance mode the amplitude of oscillations of the wall of a bubble first increases rapidly and then is stabilized at the level of 30‒50 % of the radius. It was established that motion velocity of the walls of a bubble under resonance conditions can exceed 6 m/s. It was shown that in the compression mode internal pressure of a bubble can increase by three times or decrease by two times compared with ambient pressure. Dependence of approximation resonance frequency of air bubbles in water on their diameter was established. It was found that in the resonance mode, temperature of gas-vapor medium of a bubble periodically decreases by 6 °C and increases by 12 °C in comparison with the original one. In this case, the temperature of the surface of a bubble decreases by 1 °C and increases by 7 °C. It was shown that favorable conditions for water vapor condensation (fog formation) are created at the stage of the growth of a bubble.
The schematic of the research setup and the results of field observations of gas-vapor bubbles under condition of the influence of sound waves was presented. The existence of resonance of bubbles at calculation frequencies was proved and formation of bubbles was established experimentally. The phenomena of a bubble division and its explosion were illustrated. It was found that addition of surface active substances extends the frequency range of formation of multi-bubbles by five times and contributes to an increase in the number of small bubbles inside a large one.
The research results can be applied to intensification of various technological processes related to heat and mass exchange in gas-vapor systems.
References
- Shilyaev, M. I., Tolstyh, A. V. (2013). Modelirovanie processov absorbcii gazov v barbotazhnyh apparatah. Teplofizika i aeromekhanika, 20 (5).
- Tolstoy, M. Yu., Shishelova, T. I., Shestov, R. A. (2015). Issledovaniya rastvorimosti kisloroda. Izvestiya vuzov. Prikladnaya himiya i biotekhnologiya, 1 (12), 86–90.
- Kushnir, S. V., Kost, M. V., Kozak, R. P. (2016). Barbotazhni khimichni efekty: yikh vydy, mekhanizmy vynyknennia ta heokhimichni proiavy. Voda i vodoochysni tekhnolohiyi. Naukovo-tekhnichni visti, 3 (20), 30–47.
- Konovalov, M. L., Rozanov, O. V. (2011). Effektivnost' vakuumnoy distillyacii v toke vodyanogo para. Vestnik Sibirskogo gosudarstvennogo aerokosmicheskogo universiteta imeni akademika M. F. Reshetneva, 1 (34), 39–41.
- Zhezhera, N. I. (2012). Razmery i dvizhenie puzyr'kov gaza pri degazacii nefti v akusticheskom deaeratore. Al'manah sovremennoy nauki i obrazovaniya, 8, 50–53.
- Medvedev, R. N., Chernov, A. A. (2012). The calculation of thermal grows of the toroidal bubble on current concentrator in electrolyte. Modern Science, 2 (10), 50–56.
- Sribniuk, S. M., Zubricheva, L. L., Medvedovskyi, V. V. (2011). Analiz umov vynyknennia kavitatsiynoi eroziyi. Zbirnyk naukovykh prats (haluzeve mashynobuduvannia, budivnytstvo), 2 (30), 219–226.
- Pavlenko, А., Koshlak, H. (2014). Basic principles of gas hydrate technologies. Metallurgical and Mining Industry, 3, 60–65.
- Bulanov, V. A., Korskov, I. V., Popov, P. N., Storozhenko, A. V. (2016). Issledovaniya rasseyaniya i zatuhannya zvuka, akusticheskoy nelineynosti i kavitacionnoy prochnosti morskoy vody v pri poverhnostnom sloe moray. Podvodnye issledovaniya i robototekhnika, 2 (22), 56–66.
- Alhelfi, A., Sunden, B. (2014). Numerical investigation of an oscillating gas bubble in an ultrasonic field. 10th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics. Orlando, 315‒322. Available at: https://repository.up.ac.za/bitstream/handle/2263/44673/Alhelfi_Numerical_2014.pdf
- Hmelev, V. N., Shalunov, A. V., Golyh, R. N., Shalunova, A. V. (2011). Viyavlenie optimal'nyh rezhimov i usloviy ul'trazvukovogo vozdeystviya dlya raspyleniya vyazkih zhidkostey. Tekhnicheskaya akustika, 10, 105–110.
- Colonius, T., Hagmeijer, R., Ando, K., Brennen, C. E. (2008). Statistical equilibrium of bubble oscillations in dilute bubbly flows. Physics of Fluids, 20 (4), 040902. doi: 10.1063/1.2912517
- Pavlenko, A., Koshlak, H. (2015). Design of processes of thermal bloating of silicates. Metallurgical and Mining Industry, 1, 118‒122.
- Veretel'nik, T. I., Difuchin, Yu. N. (2008). Matematicheskoe modelirovanie kavitacionnogo potoka zhidkosti v himiko-tekhnologicheskoy sisteme. Visnyk ChDTU, 3, 82–85.
- Kulinchenko, V. R. (2012). Osnovy matematicheskogo modelirovaniya dinamiki rosta parovoy fazy. Available at: http://dspace.nuft.edu.ua/jspui/handle/123456789/2224
- Hegedűs, F. (2014). Stable bubble oscillations beyond Blake’s critical threshold. Ultrasonics, 54 (4), 1113–1121. doi: 10.1016/j.ultras.2014.01.006
- Pavlenko, А., Kutnyi, B., Holik, Y. (2017). Study of the effect of thermobaric conditions on the process of formation of propane hydrate. Eastern-European Journal of Enterprise Technologies, 5 (5 (89)), 43–50. doi: 10.15587/1729-4061.2017.111409
- Butcher, J. C. (2008). Numerical Methods for Ordinary Differential Equations. John Wiley & Sons, 482.
- Koryagin, S. V., Yakovlev, A. A. (2016). Sravnitel'niy analiz metodov integrirovaniya s plavayushchim shagom. Cloud of Science, 3 (1), 95–103.
- Zabolotskaya, E. A., Soluyan, S. I. (1972). Izluchenie garmonik i kombinacionnyh chastot vozdushnymi puzyr'kami. Akusticheskiy zhurnal, 18 (3), 472–474.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2018 Аnatoliy Pavlenko, Bohdan Kutnyi, Tatiana Kugaevska
This work is licensed under a Creative Commons Attribution 4.0 International License.
The consolidation and conditions for the transfer of copyright (identification of authorship) is carried out in the License Agreement. In particular, the authors reserve the right to the authorship of their manuscript and transfer the first publication of this work to the journal under the terms of the Creative Commons CC BY license. At the same time, they have the right to conclude on their own additional agreements concerning the non-exclusive distribution of the work in the form in which it was published by this journal, but provided that the link to the first publication of the article in this journal is preserved.
A license agreement is a document in which the author warrants that he/she owns all copyright for the work (manuscript, article, etc.).
The authors, signing the License Agreement with TECHNOLOGY CENTER PC, have all rights to the further use of their work, provided that they link to our edition in which the work was published.
According to the terms of the License Agreement, the Publisher TECHNOLOGY CENTER PC does not take away your copyrights and receives permission from the authors to use and dissemination of the publication through the world's scientific resources (own electronic resources, scientometric databases, repositories, libraries, etc.).
In the absence of a signed License Agreement or in the absence of this agreement of identifiers allowing to identify the identity of the author, the editors have no right to work with the manuscript.
It is important to remember that there is another type of agreement between authors and publishers – when copyright is transferred from the authors to the publisher. In this case, the authors lose ownership of their work and may not use it in any way.