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Forced nonlinear oscillations of a gas bubble in a large spherical flask (resonator) filled with a fluid

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Abstract

Radial oscillations of a gas bubble in a large spherical flask filled with a fluid are considered. We derive an equation of the change of the bubble radius by the known law of pressure variation at the boundary of the liquid volume (the law of motion of the piston) for a period of time during which, repeatedly reflected from the piston, the leading front of the reflected-from-the bubble perturbations reaches the bubble. For further calculations of the change of the bubble radius, recurrent relations which include the wave reflected from the bubble in the previous cycle and its subsequent reflection from the piston are obtained. Under harmonic action of the piston on the fluid-bubble system, a certain periodic regime with a package of bubble oscillations is established.

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Authors
  1. R. I. Nigmatulin
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  2. V. Sh. Shagapov
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  3. G. Ya. Galeeva
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Additional information

Institute of Mechanics, Ural Scientific Center, Russian Academy of Sciences, Ufa 450000. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 39, No. 5, pp. 77–87, September–October, 1998.

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Nigmatulin, R.I., Shagapov, V.S. & Galeeva, G.Y. Forced nonlinear oscillations of a gas bubble in a large spherical flask (resonator) filled with a fluid. J Appl Mech Tech Phys 39, 719–728 (1998). https://doi.org/10.1007/BF02468042

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  • DOI: https://doi.org/10.1007/BF02468042

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