Abstract
Generation of vorticity in the field of intense sound in a bubbly liquid in the free half-space is considered. The reasons for generation of vorticity are nonlinearity, diffraction, and dispersion. Acoustic streaming differs from that in a Newtonian fluid. Under some conditions, the vortex flow changes its direction. Conclusions concern streaming induced by a harmonic or an impulse Gaussian beam.
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References
L. I. Mandelstam, M. A. Leontovich, JETP 7, 438 (1937)
M. Hamilton, Y. Ilinskii, E. Zabolotskaya, In: M. Hamilton, D. Blackstock (eds.), Nonlinear Acoustics (Academic Press, New York, 1998) 151
S. B. Leble, Nonlinear Waves in Waveguides with Stratification (Springer-Verlag, Berlin, 1991)
L. van Wijngaarden, Acta Appl. Math. 39, 507 (1995)
J. B. Keller, M. Miksis, J. Acoust. Soc. Am. 68, 628 (1980)
R. I. Nigmatullin, N. S. Khabeev, F. B. Nagiev, Int. J. Heat Mass Transfer 24, 1033 (1981)
M. Plesset, A. Prosperetti, Ann. Rev. Fluid Mech. 9, 145 (1977)
E. A. Zabolotskaya, S. I. Soluyan, Sov. Phys. Acoust. 18, 396 (1973)
V. P. Kuznetsov, Sov. Phys. Acoust. 16, 467 (1971)
M. Hamilton, V. A. Khokhlova, O. V. Rudenko, J. Acoust. Soc. Am. 101, 1298 (1997)
K. E. Frøysa, F. Coulouvrat, J. Acoust. Soc. Am. 99, 3319 (1996)
P. Marmottant, J. P. Raven, H. Gardeniers, J. G. Bomer, S. Hilgenfeldt, J. Fluid Mech. 568, 109 (2006)
D. Ahmed, X. Mao, J. Shi, B. K. Juluria, T. J. Huang, Lab Chip 9, 2738 (2009)
B. T. Chu, L. S. G. Kovasznay, J. Fluid Mech. 3, 494 (1958)
A. Perelomova, Acta Acust. united Ac. 89, 754 (2003)
A. Perelomova, Acta Acust. united Ac. 96, 43 (2010)
A. Perelomova, Can. J. Phys. 88, 293 (2010)
A. Prosperetti, A. Lezzi, J. Fluid Mech. 168, 457 (1986)
A. Perelomova, Appl. Math. Lett. 13, 93 (2000)
T. G. Leighton, The Acoustic Bubble (Academic Press, New York, 1994)
T. Kamakura, K. Matsuda, Y. Kumamoto, M. A. Breazeale, J. Acoust. Soc. Am. 97, 2740 (1995)
S. Kshevetskii, A. Perelomova, Appl. Math. Model. 26, 41 (2002)
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Perelomova, A., Wojda, P. The vortex flow caused by sound in a bubbly liquid. centr.eur.j.phys. 12, 305–314 (2014). https://doi.org/10.2478/s11534-014-0454-y
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DOI: https://doi.org/10.2478/s11534-014-0454-y