Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 31903
Hydrodynamic Force on Acoustically Driven Bubble in Sulfuric Acid

Authors: Zeinab Galavani, Reza Rezaei-Nasirabad, Rasoul Sadighi-Bonabi


Using a force balanced translational-radial dynamics, phase space of the moving single bubble sonoluminescence (m- SBSL) in 85% wt sulfuric acid has been numerically calculated. This phase space is compared with that of single bubble sonoluminescence (SBSL) in pure water which has been calculated by using the mere radial dynamics. It is shown that in 85% wt sulfuric acid, in a general agreement with experiment, the bubble-s positional instability threshold lays under the shape instability threshold. At the onset of spatial instability of moving sonoluminescing (SL) bubble in 85% wt sulfuric acid, temporal effects of the hydrodynamic force on the bubble translational-radial dynamics have been investigated. The appearance of non-zero history force on the moving SL bubble is because of proper condition which was produced by high viscosity of acid. Around the moving bubble collapse due to the rapid contraction of the bubble wall, the inertial based added mass force overcomes the viscous based history force and induces acceleration on the bubble translational motion.

Keywords: Bjerknes force, History force, Reynolds number, Sonoluminescence.

Digital Object Identifier (DOI):

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1380


[1] D. F. Gaitan, Ph.D. thesis, University of Mississipi, 1992; D. F. Gaitan, et al., . "Sonoluminescence and bubble dynamics for a single, stable, cavitation bubble, " J. Acoust. Soc Am., vol. 91,pp. 3166-3183, 1990.
[2] D. J. Flannigan, K. S. Suslik, " Molecular emission from singlebubble sonoluminescence. ", Nature, vol. 434, pp. 52-55, 2005
[3] Y. T. Didenko, W. B. McNamara, K. S. Suslik, " Molecular emission from single-bubble sonoluminescence", Nature, vol. 407, pp. 877-879, 2000B.
[D. J. Flannigan, K. S. Suslik, . "Dynamics of a sonoluminescing bubble in sulfuric acid, "Phys. Rev. Lett., vol. 95, pp. 044301, 2005.
[5] D. J. Flannigan, K. S. Suslik, " Molecular and atomic emission during single-bubble cavitation in concentrated sulfuric acid, " ARLO., vol. 6, no. 3, pp. 157-161, 2005.
[6] G. F.Puente, P. Garcia-Martinez, F. J. Bonetto, . "Single-bubble sonoluminescence in sulfuric acid and water: Bubble dynamics, stability, and continuous spectra, " Phys. Rev. E, vol, 75, pp. 016314, 2007.
[7] S. D. Hopkins, S. J. Putterman, B. A. Kappus, K. S. Suslick, C. G. Camara, "Dynamics of a Sonoluminescing Bubble in Sulfuric Acid, " Phys. Rev. Lett., vol. 95, pp. 244301, 2005.
[8] A. Troia, D. M. Ripa, R. Spagnolo, "Moving single bubble sonoluminescence in phosphoric acid and sulphuric acid solution, " Ultrason sonochem, vol. 13 pp. 278-282, 2005.
[9] R. Toegel, S. Lutter, D. Lohse, "Viscosity Destabilizes Sonoluminescing Bubbles, " Phys. Rev. Lett, vol. 96 pp. 114301, 2006.
[10] B. Keller, M. miksis, . "Bubble oscillations of large amplitude, "J. Acoust. Soc. Am., vol. 68, pp. 628, 1980.
[11] J. Magnaudet, D. Legendre, Phys. Fluids, vol. 10, pp.550-555, 1998.
[12] R. Toegel, D. Lohse, "Phase diagrams for sonoluminescing bubble:A comparision between experiment and theory, " J. Chem. Phys., vol. 118, pp. 1863-1875, 2003.
[13] X. Lu, A. Prosperetti, R. Toegel, D. Lohse, "Harmonic enhancement of single-bubble sonoluminescence, " Phys. Rev. E., vol. 67, pp. 056310, 2003.
[14] A. Moshaii, R. Sadighi, . "Role of Liquid Compressional viscosity in the dynamics of a sonoluminescing bubble, " Phys. Rev. E, vol. 70, pp. 016304, 2004.
[15] M. Silatani, Kh. Imani, R. Rezaei-Nasirabad, A. Moshaii, R. Sadighi- Bonabi, "Single-Bubble Cavitation in sulfuric acid, " 2007, The 9th Asian Inernational Conference on Fluid Machinery , Jeju, Korea, pp. 138.
[16] A. Moshaii, R. Rezaei-nasirabad, Kh. Imani, M. Silatani, R. Sadighi- Bonabi, . "Role of thermal conduction on single bubble cavitation, " Phys. Lett. A., vol. 372, no. 8, pp. 1283-1287, 2008.
[17] L. Gemline, R. J. Meyer, Gmelins Handbuch Der Anorganischen Chemie, Verlag Chemie g.m.b.h. 1985.
[18] M. M. Fyrillas, A. J. Sezri, . "Dissolusion or growth of soluble sphericsl oscillating bubbles-the effect of surfactants , " J. Fluid. Mech., vol. 289 pp. 295-314, 1994.
[19] M. P. Brenner, D. Lohse, D. Oxtoby, T. F. Dupont, . "Mechanisms for stable single-bubble sonoluminescence, Phys. Rev. Lett., vol. 76, pp. 1158-1161, 1996.
[20] I. Akhatov, R. Mettin, C. D. Ohl, U. Parlitz, W. Lauterborn, , "Bjerknes force threshold for stable single bubble sonoluminescence," Phys. Rev. E, vol. 55, pp. 3747-3750, 1997.