Abstract
Dynamics of a cavitation bubble is considered at its strong expansion and subsequent compression. The bubble is formed by merging of two identical spherical cavitation microcavities in the pressure antinode of the intensive ultrasonic standing wave in the half-wave phase with negative pressure. Deformations of bubble and deformations of radially converging shock waves occurring therein at bubble compression are studied depending on the size of microcavities forming the bubble. It is found that compression of the medium in the bubble by the converging shock wave is kept close to the spherical one only in the case, when the radius of merging microcavities is 1800 times smaller than the radius of the bubble formed by merging at the time of its maximal expansion.
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References
K.S. Suslick, Sonochemistry, Science, 1990, Vol. 247, P. 1439–1445.
E. Johnsen and T. Colonius, Shock-induced collapse of a gas bubble in shockwave lithotripsy, J. Acoustical Society of America, 2008, Vol. 124, No. 4, P. 2011–2020.
D.J. Flannigan and K.S. Suslick, Inertially confined plasma in an imploding bubble, Nature Physics, 2010, Vol. 6, P. 598–601.
W.C. Moss, D.B. Clarke, and D.A. Young, Calculated pulse widths and spectra of a single sonoluminescing bubble, Science, 1997, Vol. 276, P. 1398–1401.
R.I. Nigmatulin, I.Sh. Akhatov, R.K. Bolotnova, A.S. Topolnikov, N.K. Vakhitova, R.T. Lahey, and R.P. Taleyarkhan, The theory of supercompression of vapor bubbles and nano-scale thermonuclear fusion, Phys. Fluids, 2005, Vol. 17, P. 107106–1−107106-31.
A. Bass, S.J. Ruuth, C. Camara, B. Merriman, and S. Putterman, Molecular dynamics of extreme mass segregation in a rapidly collapsing bubble, Phys. Rev. Lett., 2008, Vol. 101, P. 234301–1−234301-4.
M.S. Plesset and T.P. Mitchell, On the stability of the spherical shape of a vapor cavity in a liquid, Quart. Appl. Math., 1956, Vol. 13, No 4, P. 419–430.
A.K. Evans, Instability of converging shock waves and sonoluminescence, Phys. Rev. E., 1996, Vol. 54, No 5, P. 5004–5011.
M. Brenner, S. Hilgenfeldt, and D. Lohse, Single-bubble sonoluminescence, Rev. Mod. Phys., 2002, Vol. 74, P. 425–484.
R.I. Nigmatulin, M.A. Ilgamov, A.A. Aganin, and D.Yu. Toporkov, Evolution of deviations from the spherical shape of a vapor bubble in supercompression, J. Appl. Mech. Tech. Phys., 2014, Vol. 55, No. 3. P. 444–461.
B.D. Storey, Shape stability of sonoluminescence bubbles: Comparison of theory to experiments, Phys. Rev. E, 2001, Vol. 64, P. 017301–1−017301-3.
A.A. Aganin, M.A. Ilgamov, L.A. Kosolapova, and V.G. Malakhov, Non-linear non-spherical oscillations of gas bubble under a periodic variation of ambient liquid pressure, Thermophysics and Aeromechanics, 2008, Vol. 15, No. 3, P. 491–502.
A.A. Aganin, L.A. Kosolapova, and V.G. Malakhov, Nonlinear radial oscillations and spatial translations of a nonspherical gas bubble in a liquid, Mathematical Models and Computer Simulations, 2012, Vol. 4, No. 1, P. 26–35.
A.A. Aganin, D.Yu. Toporkov, T.F. Khalitova, and N.A. Khismatullina, Evolution of small sphericity distortion of a vapor bubble during its supercompression, Mathematical Models and Computer Simulations, 2012, Vol. 4, No. 3, P. 344–354.
R.I. Nigmatulin, R.T. Lahey Jr., R.P. Taleyarkhan, C.D. West, and R.C. Block, On thermonuclear processes in cavitating bubbles, Physics-Uspekhi, 2014, Vol. 57, No. 9, P. 877–890.
S.T. Thoroddsen, T.G. Etoh, K. Takehara, and N. Ootsuka, On the coalescence speed of bubbles, Phys. Fluids, 2005, Vol. 17, P. 071703–1−071703-4.
M.A. Ilgamov, Expansion, compression, and stability of a cavity in a fluid under strong acoustic forcing, Doklady Physics, 2010, Vol. 55, No. 7, P. 317–320.
M.A. Ilgamov, Deviation from sphericity of a vapor cavity at the time of collapse, Doklady Physics, 2011, Vol. 56, No. 9, P. 455–458.
A.A. Aganin, Dynamics of a small bubble in a compressible fluid, Int. J. Numer. Meth. Fluids, 2000, Vol. 33, P. 157–174.
A. Harten, B. Engquist, S. Osher, and S.R. Chakravarthy, Uniformly high order accurate essentially nonoscillatory schemes III, J. Соmр. Phys., 1987, Vol. 71, P. 231–303.
A.A. Aganin, M.A. Ilgamov, and T.F. Khalitova, Simulation of strong compression of a gas cavity in liquid, Mathematical Models and Computer Simulations, 2009, Vol. 1, No. 5, P. 646–658.
A.A. Aganin, T.F. Khalitova, and N.A. Khismatullina, A numerical method to solve problems of strong collapse of a nonspherical cavitation bubble, Computational Technologies, 2010, Vol. 15, No. 1, P. 14–32.
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Aganin, A.A., Ilgamov, M.A., Khalitova, T.F. et al. Deformation of a bubble formed by coalescence of cavitation inclusions and shock wave inside it at strong expansion and compression. Thermophys. Aeromech. 24, 73–81 (2017). https://doi.org/10.1134/S0869864317010085
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DOI: https://doi.org/10.1134/S0869864317010085