Abstract
To research the dynamics of the cavitation bubble under the interaction of particle clusters, the bubble morphological evolutionary characteristics near three equal-sized spherical particles are theoretically explored in the present study based on the Weiss theorem and the velocity potential superposition theory. The three particles are arranged symmetrically, and the fluid velocity field near the three particles and the cavitation bubble is obtained. Moreover, the effects of the bubble-particle distance and the maximum radius of the cavitation bubble on the fluid velocity are investigated, and the contribution mechanisms of the fluid velocity field constituents are compared. The analysis has found that: (1) The fluid velocity between the bubble and the particle is lower than that at the other locations in both the growth and collapse phases, thus the bubble cannot always maintain a standard spherical shape. (2) The bubble-particle distance and the maximum radius of the cavitation bubble are the key parameters affecting the circumferential inhomogeneity of the radial velocity of the fluid around the bubble. The larger the maximum radius or the smaller the bubble-particle distance is, the more visible the non-circularity of the bubble morphology. (3) The image bubbles and the linear sinks contribute oppositely to the fluid velocity field, and the presence of the image bubble reduces the fluid velocity. In the low velocity region, the image bubble is the main mechanism contributing to the effect of the particle on the fluid velocity.
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References
Li J., Chen X. A general two-phase mixture model for sediment-laden flow in open channel [J]. Journal of Hydrodynamics, 2022, 34(2): 286–298.
Huai W., Zhang J., Katul G. et al. The structure of turbulent flow through submerged flexible vegetation [J]. Journal of Hydrodynamics, 2019, 31(2): 274–292.
Zhang Y., Zhang Y., Qian Z. et al. A review of microscopic interactions between cavitation bubbles and particles in silt-laden flow [J]. Renewable and Sustainable Energy Reviews, 2016, 56: 303–318.
Gohil P. P., Saini R. P. Coalesced effect of cavitation and silt erosion in hydro turbines-A review [J]. Renewable and Sustainable Energy Reviews, 2014, 33: 280–289.
Cudina M. Detection of cavitation phenomenon in a centrifugal pump using audible sound [J]. Mechanical Systems and Signal Processing, 2003, 17(6): 1335–1347.
Wang X., Wu G., Zheng X. et al. Theoretical investigation and experimental support for the cavitation bubble dynamics near a spherical particle based on Weiss theorem and Kelvin impulse [J]. Ultrasonics Sonochemistry, 2022, 89: 106130.
Zhang Y., Xie X., Zhang Y. et al. High-speed experimental photography of collapsing cavitation bubble between a spherical particle and a rigid wall [J]. Journal of Hydrodynamics, 2018, 30(6): 1012–1021.
Xu W., Zhang Y., Luo J. et al. The impact of particles on the collapse characteristics of cavitation bubbles [J]. Ocean Engineering, 2017, 131: 15–24.
Zhang Y., Chen F., Zhang Y. et al. Experimental investigations of interactions between a laser-induced cavitation bubble and a spherical particle [J]. Experimental Thermal and Fluid Science, 2018, 98: 645–661.
Lv L., Zhang Y., Zhang Y. et al. Experimental investigations of the particle motions induced by a laser-generated cavitation bubble [J]. Ultrasonics Sonochemistry, 2019, 56: 63–76.
Arora M., Ohl C. D., Mørch K. A. Cavitation inception on microparticles: A self-propelled particle accelerator [J]. Physical Review Letters, 2004, 92(17): 174501.
Liu G., Bie H., Hao Z. et al. Characteristics of cavitation onset and development in a self-excited fluidic oscillator [J]. Ultrasonics Sonochemistry, 2022, 86: 106018.
Borkent B. M., Arora M., Ohl C. D. Reproducible cavitation activity in water–particle suspensions [J]. Journal of the Acoustical Society of America, 2007, 121(3): 1406–1412.
Chi P., Tian S., Li G. et al. Single-component multiphase lattice Boltzmann simulation of free bubble and crevice heterogeneous cavitation nucleation [J]. Physical Review E, 2018, 98(2): 023305.
Gu Y., Li B., Chen M. An experimental study on the cavitation of water with effects of SiO2 nanoparticles [J]. Experimental Thermal and Fluid Science, 2016, 79: 195–201.
Chen H., Liu S., Wang J. et al. Study on effect of microparticle’s size on cavitation erosion in solid-liquid system [J]. Journal of Applied Physics, 2007, 101(10): 103510.
Chen S., Xu W., Luo J. et al. Experimental study on the mesoscale causes of the effect of sediment size and concentration on material cavitation erosion in sandy water [J]. Wear, 2022, 488–489: 204114.
Zheng X., Wang X., Ding Z. et al. Investigation on the cavitation bubble collapse and the movement characteristics near spherical particles based on Weiss theorem [J]. Ultrasonics Sonochemistry, 2023, 93: 106130.
Milne-Thomson L. M., Dill E. H. Theoretical hydrodynamics [J]. Physics Today, 1961, 14(5): 62.
Chen D., Qiu M., Lin Z. et al. Experimental study on the interaction of a cavitation bubble flanked by two particles [J]. Acta Mechanica, 2021, 232: 4801–4810.
Blake J. R. The Kelvin impulse: Application to cavitation bubble dynamics [J], The ANZIAM Journal, 1988, 30(2): 127–146.
Filippov L. O., Royer J. J., Filippova I. V. Improvement of ore recovery efficiency in a flotation column cell using ultra-sonic enhanced bubbles [J]. Journal of Physics: Conference Series, 2017, 879(1): 012023.
Choi J. J., Coussios C. C. Spatiotemporal evolution of cavitation dynamics exhibited by flowing microbubbles during ultrasound exposure [J]. The Journal of the Acoustical Society of America, 2012, 132(5): 3538–3549.
Sun Y., Yao Z., Wen H. et al. Cavitation bubble collapse in a vicinity of a rigid wall with a gas-entrapping hole [J]. Physics of Fluids, 2022, 34: 073314.
Zhang X., Zhang Y. Experimental investigation of the influences of the spherical particle on the jet formation of the cavitation bubble near the solid boundary [J]. Mechanics in Engineering, 2021, 43(4): 506–511.
Chahine G. L., Kapahi A., Choi J. K. et al. Modeling of surface cleaning by cavitation bubble dynamics and collapse [J]. Ultrasonics Sonochemistry, 2016, 29: 528–549.
Zheng X., Wang X., Zhang Y. A single oscillating bubble in liquids with high Mach number [J]. Ultrasonics Sonochemistry, 2022, 85: 105985.
Zhang A. M., Li S., Cui P. et al. A unified theory for bubble dynamics [J]. Physics of Fluids, 2023, 35(3): 033323.
Landau L. D., Lifshitz E. M. Fluid Mechanics: Course of theoretical physics [M]. Amsterdam, The Netherland: Elsevier, 2013.
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Conflict of interest: The authors declare that they have no conflict of interest. All authors declare that there are no other competing interests.
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Project supported by the National Natural Science Foundation of China (Grant No. 52076215).
Biography: Yu-ning Zhang (1986-), Female, Ph. D., Associate Professor
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Zhang, Yn., Ding, Zl., Hu, Jr. et al. Theoretical investigation on the cavitation bubble dynamics near three spherical particles based on Weiss theorem. J Hydrodyn 35, 1119–1130 (2023). https://doi.org/10.1007/s42241-024-0081-z
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DOI: https://doi.org/10.1007/s42241-024-0081-z