Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 31742
Amplification of Compression Waves in Clean and Bubbly Liquid

Authors: Robert I. Nigmatulin, Raisa Kh. Bolotnova, Nailya K. Vakhitova, Andrey S. Topolnikov, Svetlana I. Konovalova, Nikolai A. Makhota


The theoretical investigation is carried out to describe the effect of increase of pressure waves amplitude in clean and bubbly liquid. The goal of the work is to capture the regime of multiple magnification of acoustic and shock waves in the liquid, which enables to get appropriate conditions to enlarge collapses of micro-bubbles. The influence of boundary conditions and frequency of the governing acoustic field is studied for the case of the cylindrical acoustic resonator. It has been observed the formation of standing waves with large amplitude at resonant frequencies. The interaction of the compression wave with gas and vapor bubbles is investigated for the convergent channel. It is shown theoretically that the chemical reactions, which occur inside gas bubbles, provide additional impulse to the wave, that affect strongly on the collapses of the vapor bubbles

Keywords: acoustics, cavitation, detonation, shock waves

Digital Object Identifier (DOI):

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1610


[1] Y.-C. Wang, C.E. Brennen, "Shock wave development in the collapse of a cloud of bubbles," Cavitation and Multiphase Flow. ASME, vol. 194, 1994, pp. 15-19.
[2] V.K. Kedrinsky, Hydrodynamics of Explosion,Novosibirsk: RAN, 2000.
[3] M. Shimada M., Y. Matsumoto, T. Kobayashi, "Influence of the nuclei size distribution on the collapsing behavior of the cloud cavitation," JSME International Journal, Series B, vol. 43, No. 3, 2000, pp. 380-385.
[4] K.S. Suslick, Y. Didenko, M.M. Fang, T. Hyeon, K.J. Kolbeck, W.B. McNamara III, M.M. Mdleleni, M. Wong, "Acoustic cavitation and its chemical consequences," Phil. Trans. Roy. Soc. A, vol. 357, 1999, pp.335-353.
[5] Y. Matsumoto, S. Yoshisawa, T. Ikeda, Y. Kaneko, S. Tagaki, "Medical application of micro-bubbles," presented at the 6th Int. Conf. on Multiphase Flow, Leipzig, July 9-13, 2007.
[6] E. M. Galimov, A.M Kudin, V.N Skorobogatskii et al., "Experimental corroboration of the synthesis of diamond in the cavitation process," Doklady Physics, vol. 49, 2004, pp. 150-153.
[7] D.F. Gaitan, L. A. Crum, R. A. Roy, C. C. Church, "Sonoluminescence and bubble dynamics for a single, stable, cavitation bubble," J. Acoust. Soc. Am., vol. 91, 1992, pp. 3166-3183.
[8] R.P. Taleyarkhan, C.D. West, J.S. Cho, R.T. Lahey Jr., R.I. Nigmatulin, R.C. Block, "Evidence for nuclear emissions during acoustic cavitation," Science, vol. 295, 2002, pp. 1868-1873.
[9] R.P. Taleyarkhan, C.D. West, J.S. Cho, R.T. Lahey Jr., R.I. Nigmatulin, R.C. Block, "Additional evidence of nuclear emissions during acoustic cavitation," Phys. Rev. E, vol. 69, 2004, 036109.
[10] R.I. Nigmatulin, I.Sh. Akhatov, A.S. Topolnikov, R.Kh. Bolotnova, N.K. Vakhitova, R.T. Lahey Jr., R.P. Taleyarkhan, "Theory of supercompression of vapor bubbles and nanoscale thermonuclear fusion," J. Physics of Fluids, vol. 17, 2005, 107106.
[11] M.A. Ilgamov, Fluctuations of Elastic Covers Containing Liquid or Gas, Mosow: Nauka, 1969.
[12] R. Nigmatulin, R. Bolotnova, N. Vakhitova, S. Konovalova, A. Topolnikov, "Modeling of bubble cluster dynamics under conditions of bubble fusion experiments", presented at the 6th Int. Conf. on Multiphase Flow, Leipzig, July 9-13, 2007.
[13] R.I. Nigmatulin, Dynamics of Multiphase Media, New York: Hemisphere, 1991.
[14] R.I. Nigmatulin, R.Kh. Bolotnova, "Wide-range equations of state for organic liquids, acetone as an example," Doklady Physics, vol. 52, No. 8, 2007, pp. 442-446.
[15] S.V. Patankar, Numerical Heat Transfer and Fluid Flow, New York: Hemisphere, 1980.
[16] E. Hairer, S.P. Norsett, G. Wanner, Solving Ordinary Differential Equations I, Nonstiff Problems, Springer-Verlag, 2000.
[17] S.K. Godunov, A.V. Zabrodin, M.Y. Ivanov, A.N. Kraiko, G.P. Prokopov, Numerical Solution of Multi-Dimensional Problems in Gas Dynamics, Moscow: Nauka, 1976.