Enter your email address

Submit

Enter your email address

Submit

Write your message

BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks

Katoozi A, mahdi M. Eulerian-Lagrangian Study of Bubble Collision on Pressure Distribution due to Cloud Cavitation Collapse. ijmt 2023; 18 :58-69

URL: http://ijmt.ir/article-1-784-en.html

URL: http://ijmt.ir/article-1-784-en.html

2- Associate Professor, Mechanical Engineering Department, Shahid Rajaee Teacher Training University, Tehran, Iran,

In this study, to numerically investigate the consequence of bubble collision on the pressure distribution due to cavitation collapse, the bubble behavior around NACA0015 2D hydrofoil has been simulated using the Eulerian-Lagrangian perspective. Macroscopic examination of the cavitation flow was determined by the homogeneous mixture model (Eulerian method) and the bubble motion path based on the applied forces using Newton's second law and the development of numerical code (Lagrange method). Bubble oscillations were obtained from the modified Rayleigh-Plesset-Keller-Herring equation. To study the effect of bubbles colliding (bubble with wall and bubble with the bubble), the model of vertical elastic forces and vertical and tangential viscosities used by Heitkam et al. To pair the obtained results and solve them, the fourth-order Runge-Kutta method with variable time step has been used, which has increased the data solving speed up to 10 times. From the Keller& Kolodner relationship, a pressure wave emitted from the collapse of a spherical bubble and the model of Soyama et al, the total energy of the cavitation-induced shocks, which is the result of the accumulation of all the shocks on each other, is obtained. The results showed that the effects of increasing the radius by decreasing the cavitation number are the same, when the bubble colliding with the wall is applied and when it is not** **and by decreasing the cavitation number, the bubble growth rate increases, and by increasing the bubble radius, the erosion intensity increases.** **The process of bubble growth starts earlier in the case of collision with the wall than in the case in which the collision did not occur, therefore, the cavitation number has little effect in this case and is related to the impact effects. The result of the impact of the bubble on the wall and the bubble with the bubble reduces the maximum radius compared to the case where the effect of the impact is not considered and also reduces the amount of erosion. The possible place of erosion is located at the end of the cavitation cavity, and possible damage can be prevented by strengthening this place. The results were compared with other published works and had acceptable accuracy.

Type of Study: Research Paper |
Subject:
Numerical Investigation

Received: 2021/12/24 | Accepted: 2023/06/28

Received: 2021/12/24 | Accepted: 2023/06/28

1. Wang, Q.X., Y. K, (1996), Strong Interaction Between a Buoyancy Bubble and a Free Surface, Theoret Comput Fluid Dynamics, p.73-88.

2. Fabian, D., (2018), Wall collision of deformable bubbles in the creeping flow regime, European Journal of Mechanics / B Fluids, doi:10.1016/j.euromechflu.2018.02.002.

3. Chahine, (2009), Numerical Simulation of Bubble Flow Interactions, Dynaflow inc., 10621-J Iron Bridge Road, Jessup, Maryland 20794, USA, p.316-332. doi:10.1016/S1001-6058(08)60152-3.

4. Raoufi, A., Shams, M. and Ebrahimi, R., (2008), A Novel CFD Scheme for Collision of Micro-bubbles in Turbulent Flow, Engineering Letters, 16:3, EL_16_3_02.

5. Li, F., Cai, J., Huai, X. and Liu, B.,(2013), Interaction mechanism of double bubbles in hydrodynamic cavitation, J.Therm. Sci. 22, p.242-249, doi:10.1007/s11630-013-0619-9.

6. Liang, J., Han, G., Fengbin, L. and Darong, C., (2016), Investigations on Dynamics of Interacting Cavitation Bubbles in Strong Acoustic Fields, Ultrason-Sonochemistry. doi:10.1016/j.ultsonch.2016.05.017.

7. Mettin, R., Akhatov, I., Parlitz, U., Oh, C.l. and Lauterborn, W., (1997), Bjerknes forces between small cavitation bubbles in a strong acoustic field, Phys. Rev. E. 56-2924-2931, doi:10.1103/PhysRevE.56.2924.

8. Ida, M., (2009), Bubble-bubble interaction: A potential source of cavitation noise, Phys. Rev. E. 79, doi:10.1103/PhysRevE.79.016307.

9. Sadighi-Bonabi, R., Rezaee, N., Ebrahimi H. and Mirheydari, M., (2010), Interaction of two oscillating sonoluminescence bubbles in sulfuric acid, Phys. Rev. E - Stat Nonlinear, Soft Matter Phys. 82, doi:10.1103/PhysRevE.82.016316.

10. Heitkam, Sommer, A.E. and Drenckhan, W., (2017), A simple collision model for small bubbles, Journal of Physics: Condensed Matter, doi:10.1088/1361-648X/aa56fc.

11. Ochiai, N., (2009), Numerical Prediction of Cavitation Erosion in Cavitating Flow, Proceedings of the 7th International Symposium on Cavitation CAV2009, Paper No. 67.

12. Plesset, M.S. and Prosperetti, A., (1977), Bubble Dynamics and Cavitation, Annu. Rev. Fluid Mech.9(1), p.145-185, DOI: 10.1146/annurev.fl.09.010177.001045.

13. Prosperetti, A., and Lezzi, A., (1986), Bubble Dynamics in a Compressible Liquid, J. Fluid Mech.168, p.457-478 DOI: 10.1017/S0022112086000460.

14. Maxey, M. R., (1983), Equation of Motion for a Small Rigid Sphere in a Nonuniform Flow, Phys.Fluids.26(4), p.883 DOI: 10.1063/1.864230.

15. Haberman, W. L. and Morton, R. K., (1953), An Experimental Investigation of the Drag and Shape of Air Bubbles Rising in Various Liquids, Navy Dep. David Taylor Model Basin Washington.DC, p.1-55, DOI: 10.5962/bhl.title.47521

16. Goldman, A. J. and C, R.,(1967), The Slow viscous motion of a sphere parallels to a plane wall 1 motion through a quiescent fluid, Chem. Eng. Sci. 22 637-51.

17. Hendrix, M.H.W. and M, R.D., (2012), Spatiotemporal evolution of thin liquid films during impact of water bubbles on glass on a micrometer to nanometer scale, Phys. Rev. Lett. 108 247803.

18. Hoomans, B.P.B., Kuipers, t. J. A. M., Briels ,W. J. and Van Swaaij, W.P.M., (1996), Discrete Particle Simulation of Bubble and Slug Formation in a Two-Dimensional Gas-Fluidised Bed: A Hard-Sphere Approach, Department of Chemical Engineering, Twente University of Technology, P.O. Box 217,7500AE Enschede -99-118.

19. Hosseininejad, S.S.A., (2016), CFD Modeling of Cavitation for Fine Particle Flotation, A thesis submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Chemical Engineering, pp. 83-85.

20. Soyama, H., Kumano, H. and Saka, M., ( 2001), A New Parameter to Predict Cavitation Erosion, http//resolver. Caltech. edu/cav2001 Sess. 002, p.1-8.

21. Keller, J.B. & Kolodner, I.I., (1956), Damping of underwater explosion bubble oscillations, J. Appl.Phys.271152-1161, doi:10.1063/1.1722221

22. Van Rijsbergen, M. and Boorsma, A., (2011), High-speed video observations and acoustic impact measurements on a NACA0015 foil, CRS EROSION II Working Group, proprietary.

23. Flannigan, D.J., Hopkins, S.D., Camara, C.G., Putterman, S.J. and Suslick, K.S., (2006), Measurement of pressure and density inside a single sonoluminescing bubble, Phys. Rev. Lett. 96, doi:10.1103/PhysRevLett.96.204301.

24. Cogné, C., Labouret, S., Peczalski, R., Louisnard, O., Baillon, F. and Espitalier, F., (2016), Theoretical model of ice nucleation induced by acoustic cavitation ,Ultrason. Sonochem.29, doi:10.1016/j.ultsonch.2015.05.038.

Send email to the article author

Rights and permissions | |

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. |