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Expansion and Collapse of Bubbles in the Central Region of a Streamer

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Abstract

Strong single expansion and collapse of the central bubble in a streamer of an odd number of cavitation bubbles in acetone is numerically studied. The conditions considered are close to those in the well-known experiments on neutron emission during acoustic cavitation of deuterated acetone. Initially, all the bubbles are spherical, with the same radius of 5 \(\mu\)m, equidistant from the neighboring ones, with the centers in a straight line. The vapor in the bubbles is in the saturation state at the ambient liquid temperature of 273 K. The liquid pressure varies harmonically with a frequency of 19.3 kHz and an amplitude of 15 bar. The initial spacing of the bubbles is characterized by the ratio \(d^{*}\) of the initial distance between the centers of the neighboring bubbles to the maximum radius of a single bubble during its expansion under similar conditions. It is shown that in the final stage of collapse, a radially converging shock wave arises in the central bubble in the vicinity of its surface. During the convergence, its non-sphericity and that of the pressure and temperature fields behind it rapidly increase. For \(d^{*}=40\), the shape of the shock wave until the moment at which some part of the shock wave front enters a small central region with a radius of 2.5 \(\mu\)m, keeps close to spherical. As \(d^{*}\) decreases, the shock wave becomes more flattened along the axis of symmetry. With increasing \(d^{*}\), the maximum pressures and temperatures in the central bubble at the mentioned moment monotonically grow to the values corresponding to a single bubble. Under \(d^{*}>20\) the growth is fairly slow.

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Correspondence to A. A. Aganin, A. I. Davletshin or T. F. Khalitova.

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(Submitted by D. A. Gubaidullin)

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Aganin, A.A., Davletshin, A.I. & Khalitova, T.F. Expansion and Collapse of Bubbles in the Central Region of a Streamer. Lobachevskii J Math 42, 15–23 (2021). https://doi.org/10.1134/S1995080221010030

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  • DOI: https://doi.org/10.1134/S1995080221010030

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