{"title":"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","volume":34,"journal":"International Journal of Mechanical and Mechatronics Engineering","pagesStart":1260,"pagesEnd":1266,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/1855","abstract":"The theoretical investigation is carried out to describe\r\nthe 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,\r\nwhich enables to get appropriate conditions to enlarge collapses of\r\nmicro-bubbles. The influence of boundary conditions and frequency\r\nof the governing acoustic field is studied for the case of the\r\ncylindrical acoustic resonator. It has been observed the formation of\r\nstanding waves with large amplitude at resonant frequencies. The\r\ninteraction of the compression wave with gas and vapor bubbles is\r\ninvestigated for the convergent channel. It is shown theoretically that\r\nthe chemical reactions, which occur inside gas bubbles, provide additional impulse to the wave, that affect strongly on the collapses\r\nof the vapor bubbles","references":"[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,\r\n1994, pp. 15-19.\r\n[2] V.K. Kedrinsky, Hydrodynamics of Explosion,Novosibirsk: RAN, 2000.\r\n[3] M. Shimada M., Y. Matsumoto, T. Kobayashi, \"Influence of the nuclei\r\nsize distribution on the collapsing behavior of the cloud cavitation,\"\r\nJSME International Journal, Series B, vol. 43, No. 3, 2000, pp. 380-385.\r\n[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\r\nchemical consequences,\" Phil. Trans. Roy. Soc. A, vol. 357, 1999, pp.335-353.\r\n[5] Y. Matsumoto, S. Yoshisawa, T. Ikeda, Y. Kaneko, S. Tagaki, \"Medical\r\napplication of micro-bubbles,\" presented at the 6th Int. Conf. on\r\nMultiphase Flow, Leipzig, July 9-13, 2007.\r\n[6] E. M. Galimov, A.M Kudin, V.N Skorobogatskii et al., \"Experimental\r\ncorroboration of the synthesis of diamond in the cavitation process,\" Doklady Physics, vol. 49, 2004, pp. 150-153.\r\n[7] D.F. Gaitan, L. A. Crum, R. A. Roy, C. C. Church, \"Sonoluminescence\r\nand bubble dynamics for a single, stable, cavitation bubble,\" J. Acoust.\r\nSoc. Am., vol. 91, 1992, pp. 3166-3183.\r\n[8] R.P. Taleyarkhan, C.D. West, J.S. Cho, R.T. Lahey Jr., R.I. Nigmatulin,\r\nR.C. Block, \"Evidence for nuclear emissions during acoustic cavitation,\"\r\nScience, vol. 295, 2002, pp. 1868-1873.\r\n[9] R.P. Taleyarkhan, C.D. West, J.S. Cho, R.T. Lahey Jr., R.I. Nigmatulin,\r\nR.C. Block, \"Additional evidence of nuclear emissions during acoustic\r\ncavitation,\" Phys. Rev. E, vol. 69, 2004, 036109.\r\n[10] R.I. Nigmatulin, I.Sh. Akhatov, A.S. Topolnikov, R.Kh. Bolotnova,\r\nN.K. Vakhitova, R.T. Lahey Jr., R.P. Taleyarkhan, \"Theory of\r\nsupercompression of vapor bubbles and nanoscale thermonuclear\r\nfusion,\" J. Physics of Fluids, vol. 17, 2005, 107106.\r\n[11] M.A. Ilgamov, Fluctuations of Elastic Covers Containing Liquid or Gas,\r\nMosow: Nauka, 1969.\r\n[12] R. Nigmatulin, R. Bolotnova, N. Vakhitova, S. Konovalova, A.\r\nTopolnikov, \"Modeling of bubble cluster dynamics under conditions of\r\nbubble fusion experiments\", presented at the 6th Int. Conf. on Multiphase Flow, Leipzig, July 9-13, 2007.\r\n[13] R.I. Nigmatulin, Dynamics of Multiphase Media, New York: Hemisphere, 1991.\r\n[14] R.I. Nigmatulin, R.Kh. Bolotnova, \"Wide-range equations of state for\r\norganic liquids, acetone as an example,\" Doklady Physics, vol. 52, No.\r\n8, 2007, pp. 442-446.\r\n[15] S.V. Patankar, Numerical Heat Transfer and Fluid Flow, New York:\r\nHemisphere, 1980.\r\n[16] E. Hairer, S.P. Norsett, G. Wanner, Solving Ordinary Differential Equations I, Nonstiff Problems, Springer-Verlag, 2000.\r\n[17] S.K. Godunov, A.V. Zabrodin, M.Y. Ivanov, A.N. Kraiko, G.P.\r\nProkopov, Numerical Solution of Multi-Dimensional Problems in Gas\r\nDynamics, Moscow: Nauka, 1976.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 34, 2009"}