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Unsteady rise of a bubble in a viscous fluid at small Reynolds numbers

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Abstract

A bubble rising from the state of rest in a viscous incompressible fluid is considered. A formula for the Basset force acting on the bubble in a viscous fluid is obtained, which differs by a multiplier from the Basset force for a solid particle. The problem of unsteady rise of a bubble is solved analytically. The bubble rise is also studied experimentally and the experimental data are compared with the theoretical results.

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Correspondence to V. A. Arkhipov.

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Original Russian Text © V.A. Arkhipov, I.M. Vasenin, A.S. Tkachenko, A.S. Usanina, 2015, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2015, Vol. 50, No. 1, pp. 86–94.

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Arkhipov, V.A., Vasenin, I.M., Tkachenko, A.S. et al. Unsteady rise of a bubble in a viscous fluid at small Reynolds numbers. Fluid Dyn 50, 79–86 (2015). https://doi.org/10.1134/S0015462815010093

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  • DOI: https://doi.org/10.1134/S0015462815010093

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