THE WAYS OF PRODUCING AN UNIFIED MATHEMATICAL MODEL FOR THE CAVITATING FLOW IN HYDRODYNAMIC CAVITATION REACTORS
Keywords:
hydrodynamic cavitation, mathematical model, gas-vapor bubble, cavitation cluster.
Abstract
Possible ways of constructing a general model of cavitation reactors are considered. A mathematical model is proposed that without using any limiting assumptions describes adequately the dynamics of vapor-gas bubbles and the behavior of a cavitation cluster in a wide range of regime parameters. In the framework of the model, the influence of gas content and liquid temperature on the cavitation intensity is considered. The possibility of modifying the model as applied to optimizing the operation of cavitation reactors is discussed.
References
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2. Carpenter J., Badve M., Rajoriya S., George S., Saharan V.K., Pandit A.B. Hydrodynamic cavitation: an emerging technology for the intensification of various chemical and physical processes in a chemical process industry. Rev. Chem. Engng. 2017. V.33, P. 433–468.
3. Rooze J. Cavitation in gas-saturated liquids. Eindhoven: Techn. Univers. Eindhoven, 2012. 120 p.
4. Franc J.-P. Physics and Control of Cavitation. In Design and Analysis of High Speed Pumps, Educat. Notes.–RTO-EN-AVT-143, 2006. Paper 2. P. 1–36.
5. Brennen Ch. E. Cavitation and Bubble Dynamics.–N.-Y.: Oxford University Press, 1995. 294 p.
6. Arrojo S., Benito Y. A theoretical study of hydrodynamic cavitation. Ultrasonics Sonochemistry, 2008. V.15, №3. P.203–211.
7. Ivanitsky G.K, Avdeyeva L.Y., Makarenko A.A. Using the effects of hydrodynamic cavitation for purposeful dynamical action on the supramolecular structures. Physics of aerodisperse systems. 2016. № 53. P. 142–151.
8. Sharma A., Gogate P.R., Mahulkar A., Pandit A. B. Modeling of hydrodynamic cavitation reactors using orifice plates considering hydrodynamics and chemical reactions occurring in bubble. Chem. Engng Journ., 2008. V.143, №1–3. P.201–209.
9. Dolinskiy А.А., Ivanitskiy G.К. [Heat and mass transfer and hydrodynamics in vapor-liquid dispersed media]. Kiev, Naukova dumka, 2008. 381 p. (in Rus)
10. Ivanitsky G.K., Gozhenko L.P. [An analytical study of the conditions for the cavitation occurrence in tube of the shock type pulsation disperser]. [Industrial Heat Engineering,] 2014. V. 36, № 6. P. 49–56. (in Rus)
11. Ivanitsky G.K., Nedbaylo А.Е. [Analytical study of cavitation in the impeller of centrifugal pumps]. [Industrial Heat Engineering], 2011. V.34, №2. P. 40–47. (in Rus)
12. Kanthale P.M., Gogate P.R., Pandit A.B., Wilhelm A.-M. Dynamics of cavitational bubbles and design of a hydrodynamic cavitational reactor: cluster approach. Ultrasonics Sonochem., 2005. V.12, P.441–452.
13. Singhal A.K., Athavale M.M., Li H., Jiang Y. Mathematical basis and validation of the full cavitation model. Journ. Fluids Engng, 2002. V.124, № 3. P.617–624.
14. Kapranova A.B., Solopov S.A., Meltser A.M. [On the methods of describing the process of formation of cavitation flows]. [Eurasian Union of Scientists (EUS)] 2015. № 66 (15), 99–102. (in Rus)
15. Ivanitskiy G.К. [Numerical modeling the bubble cluster behavior in processes of hydrodynamic cavitation]. [Collection of research papers “Modern science: researches, ideas, results, technologies”], 2011. №2(7). Kiev, Trianon, P.52–58. (in Rus)
16. Novitskii B.G. [The use of acoustic vibrations in chemical engineering processes]. Moscow, [Chemia], 1983. 191 p. (in Rus)
17. Gorbatyi Yu.E., Bondarenko G.V. [Supercritical state of water]. [Supercritical fluids: Theory and practice]. 2007. №2. P. 5–19. (in Rus)
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Published
2020-04-12
How to Cite
Ivanitsky, G., Tcelen, B., Nedbaylo, A., & Gozhenko, L. (2020). THE WAYS OF PRODUCING AN UNIFIED MATHEMATICAL MODEL FOR THE CAVITATING FLOW IN HYDRODYNAMIC CAVITATION REACTORS. Thermophysics and Thermal Power Engineering, 42(2), 31-38. https://doi.org/https://doi.org/10.31472/ttpe.2.2020.3
Section
Heat and Mass Transfer Processes and Equipment, Theory and Practice of Drying
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