Amplification of Compression Waves in Clean and Bubbly Liquid
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
[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.
[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.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:50991", author = "Robert I. Nigmatulin and Raisa Kh. Bolotnova and Nailya K. Vakhitova and Andrey S. Topolnikov and Svetlana I. Konovalova and Nikolai A. Makhota", title = "Amplification of Compression Waves in Clean and Bubbly Liquid", abstract = "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", volume = "3", number = "10", pages = "1166-6", }
