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Motion of a gas inclusion in a capillary under the action of vibration

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Abstract

The motion of gas inclusions in a liquid-filled duct under the action of vibration for comparable cross-sectional dimensions of the inclusion and the duct is studied. Two limiting cases of inclusion motion differing with respect to the drag mechanism are considered. For low velocities, it is assumed that the drag is mainly determined by the capillary forces and the friction in the liquid film separating the gas inclusion from the duct wall. As the inclusion velocity increases, the main contribution to the drag is made by such mechanisms as flow separation, the formation of a low-pressure region in the wake, etc.

It is demonstrated that due to the vibration a gas inclusion traveling in a capillary under the action of steady forces is halted at certain points of the capillary. The capillary behaves like a filter, impermeable for inclusions smaller than a certain threshold size.

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Additional information

Moscow. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 3, pp. 85–92, May–June, 1998.

The work received financial support from the Russian Foundation for Basic Research (project No.96-01-01813).

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Avduevskii, V.S., Ganiev, R.F., Ukrainskii, L.E. et al. Motion of a gas inclusion in a capillary under the action of vibration. Fluid Dyn 33, 366–372 (1998). https://doi.org/10.1007/BF02698187

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  • DOI: https://doi.org/10.1007/BF02698187

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