Dynamics and radiation of a single bubble under conditions of abnormal compressibility of a bubbly liquid |
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Authors: | V K Kedrinskii |
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Institution: | (1) Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090 |
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Abstract: | An equation is proposed for the pulsation of a single cavity in an abnormally compressible bubbly liquid which is in pressure
equilibrium and whose state is described by the Lyakhov equation. In the equilibrium case, this equation is significantly
simplified. Numerical analysis is performed of the bubble dynamics and acoustic losses (the profile and amplitude of the radiation
wave generated on the bubble wall from the side of the liquid). It is shown that as the volumetric gas concentration k0 in the equilibrium bubbly medium increases, the degree of compression of the cavity by stationary shock wave decreases and
its pulsations decrease considerably and disappear already at k0 = 3%. In the compression process, the cavity asymptotically reaches an equilibrium state that does not depend on the value
of k0 and is determined only by the shock-wave amplitude. The radiation wave takes the shape of a soliton whose amplitude is much
smaller and whose width is considerably greater than the corresponding parameters in a single-phase liquid.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 48, No. 3, pp. 51–57, May–June, 2007. |
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Keywords: | dynamics radiation single bubble abnormal compressibility |
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