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JOURNALS // Sibirskii Zhurnal Industrial'noi Matematiki // Archive

Sib. Zh. Ind. Mat., 2015 Volume 18, Number 1, Pages 123–128 (Mi sjim876)

This article is cited in 7 papers

On a prescribed orientation of a solid inclusion in a viscous fluid

V. L. Sennitskii

Lavrent'ev Institute of Hydrodynamics SB RAS, 15 Lavrent'ev av., 630090 Novosibirsk

Abstract: We pose and solve a problem of the rotational motion of a solid inclusion in an oscillating viscous fluid. The new hydromechanical effect is revealed: under any (perturbed) initial position of the inclusion, there happens its subsequent “spontaneous” passage into one of the two stable equilibria corresponding to the orientation of the inclusion along the oscillation axis of the fluid.

Keywords: viscous fluid, solid body, inclusion, oscillation, field of gravity, method of averaging.

UDC: 536.516

Received: 18.09.2014

DOI: 10.17377/sibjim.2015.18.110



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