Mathematical Modeling of Mixers with Cavitation Inducements

Shuhrat Kasimov, Ravshan Kendjayev and Jasur Davlatov

References:

1. R. Knapp, J. Daly, and F. Hammit, Cavitation. Moscow, Russia: Mir, 1994, 687 p.
2. Y. Khodjaev, Sh. Kasimov, and K. Tokhtauhunov, “Using the process of cavitation in various resource-saving technologies,” in Proc. Uzbek–Japan Symp. on Ecotechnologies, Tashkent, Uzbekistan, May 14, 2016, pp. 33–38.
3. R. I. Nigmatulin, Dynamics of Multiphase Media, vol. 2. Moscow, Russia: Nauka, 2007, 450 p.
4. Ya. D. Khodzhaev, Sh. A. Kasimov, and K. A. Tokhtakhunov, “The main ratios of the working process of hydrodynamic cavitators,” Vestnik TashIIT, no. 2–3, pp. 70–74, 2016.
5. G. Wallis, One-Dimensional Two-Phase Flows. Moscow, Russia: Mir, 1992, 440 p.
6. O. Nikolayev, N. Khoryak, V. Serenko, D. Klimenko, V. Khodorenko, and I. Bashlij, “Considering dissipative forces for mathematical modeling longitudinal vibrations of liquid launch vehicle body,” Journal of Technical Mechanics, no. 2, pp. 16–31, 2016.
7. A. Simpson and V. V. Ranade, “Modelling of hydrodynamic cavitation with orifice: Influence of different orifice designs,” Chemical Engineering Research and Design, vol. 136, pp. 698–711, 2018.
8. D. Kostiuk, D. Kolesnikov, S. Serhiy, and O. Yakhno, “Research into cavitation processes in the trapped volume of the gear pump,” Applied Mechanics, 2018, doi: 10.15587/1729-4061.2018.139583.
9. G. Deynichenko et al., “Parameter optimization of milk pulsation homogenizer,” Journal of Hygienic Engineering and Design, vol. 24, pp. 63–67, 2018.
10. O. Nikolayev, Y. Zhulay, Y. Kvasha, and N. Dzoz, “Evaluation of the vibration accelerations of drill bit for the well rotative-vibration drilling using the cavitation hydrovibrator,” International Journal of Mining and Mineral Engineering, vol. 11, no. 2, pp. 102–120, 2020, doi: 10.1504/IJMME.2020.108643.
11. Y. Zhulay and O. Nikolayev, “Results of testing and modelling the ‘drilling rig with hydraulic vibrator–rock’ system,” Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, no. 1, pp. 11–17, 2020, doi: 10.33271/nvngu.2020-1/011.
12. K. Samoichuk et al., “Research on milk homogenization in the stream homogenizer with separate cream feeding,” Potravinarstvo Slovak Journal of Food Sciences, vol. 14, pp. 142–148, 2020, doi: 10.5219/1289.
13. Y. Zhang and M. Sun, “The intrinsic phenomena of concentration and cavitation on the Riemann solutions for the perturbed macroscopic production model,” Mathematical Methods in the Applied Sciences, vol. 45, 2021, doi: 10.1002/mma.7818.
14. P. Thanekar, P. R. Gogate, Z. Znak, Y. Sukhatskiy, and R. Mnykh, “Degradation of benzene present in wastewater using hydrodynamic cavitation in combination with air,” Ultrasonics Sonochemistry, vol. 70, p. 105296, 2021, doi: 10.1016/j.ultsonch.2020.105296.
15. Y. Zhulay and O. Nikolayev, “Evaluation of hydraulic power of drilling string with a cavitation hydrovibrator,” Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, no. 3, pp. 31–37, 2021, doi: 10.33271/nvngu/2021-3/031.
16. V. A. Zysin, G. A. Baranov, V. A. Barilovich, and T. N. Parfenova, Boiling Adiabatic Flows. Moscow, Russia: Atomizdat, 1976, 152 p.
17. E. K. Spiridonov, Theoretical Foundations of Calculation and Design of Liquid–Gas Jet Pumps, Dr.Sc. dissertation abstract. Moscow, Russia: NPO “Hydromash,” 1996.
18. I. E. Idelchik, Handbook of Hydraulic Resistance, 3rd ed., rev. and enl., Ed. S. Steinberg. Moscow, Russia: Mashinostroenie, 1975, 559 p.
19. X. Hu, Y. Gao, and X.-T. Shi, “Numerical study on characteristics of supercavitating flow around the variable-lateral-force cavitator,” China Ocean Engineering, vol. 31, no. 1, pp. 123–129, 2017.
20. S. M. Javadpour, S. Farahat, H. Ajam, M. Salari, and A. H. Nezhad, “Experimental and numerical study of ventilated supercavitation around a cone cavitator,” Heat and Mass Transfer, vol. 53, no. 5, pp. 1491–1502, 2017.
21. E. Kadivar, E. Kadivar, K. Javadi, and S. M. Javadpour, “The investigation of natural supercavitation flow behind three-dimensional cavitators: Full cavitation model,” Applied Mathematical Modelling, vol. 45, pp. 165–178, 2017.