On peculiarities of a liquid flow in a gravity field
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 19 (2022) no. 1, pp. 241-247.

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A problem is formulated and solved on the motion of a viscous liquid in a gravity field. The liquid is in contact with solid walls. The boundary of one of the walls is permeable for the liquid. The liquid is exposed by oscillatory influences which have no predominant direction in space. The problem formulation includes the equation of Navier–Stokes, the equation of continuity, and the conditions at the solid boundaries of the liquid (at the boundaries of the walls). In particular, the new hydro-mechanical effect is revealed which consists in that the liquid behaves paradoxically, that is (at a background of oscillations) the liquid performs a steady motion in the direction which is opposite the direction of the acceleration of free falling.
Mots-clés : viscous liquid
Keywords: gravity field, periodical in time influences having no predominant direction in space.
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V. L. Sennitskii. On peculiarities of a liquid flow in a gravity field. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 19 (2022) no. 1, pp. 241-247. http://geodesic.mathdoc.fr/item/SEMR_2022_19_1_a22/

[1] V.L. Sennitskii, “Predominantly-unidirectional motion of a gas bubble in a vibrating liquid”, Dokl. Akad. Nauk SSSR, 319:1 (1991), 117–119

[2] D.V. Lyubimov, T.P. Lyubimova, A.A. Cherepanov, Dynamics of separating surfaces in vibratory fields, Fizmatlit, M., 2003

[3] D.V. Lyubimov, A.Y. Baydin, T.P. Lyubimova, “Particle dynamics in a fluid under high frequency vibrations of linear polarization”, Microgravity Sci. Technol., 25:2 (2013), 121–126 | DOI

[4] V.L. Sennitskii, “Predominantly unidirectional motion of a viscous liquid”, J. Appl. Industr. Math., 15:2 (2021), 326–330 | DOI | MR

[5] V.L. Sennitskii, “On the motion of a gas bubble in a viscous vibrating liquid”, J. Appl. Mech. Tech. Phys., 29:6 (1988), 865–870 | DOI | MR

[6] V.L. Sennitskii, “Predominantly unidirectional motion of a compressible solid body in a vibrating liquid”, J. Appl. Mech. Tech. Phys., 34:1 (1993), 96–97 | DOI | MR

[7] V. L. Sennitskii, “On the motion of a pulsating solid body in an oscillating viscous liquid”, J. Appl. Mech. Tech. Phys., 42:1 (2001), 72–76 | DOI | MR

[8] P.L. Kapitsa, “Pendulum with an oscillating suspension”, UFN, 44:1 (1951), 7–20 | DOI

[9] V.L. Sennitskii, “Pulsating motion of an inhomogeneous solid sphere in a vibrating liquid”, J. Appl. Mech. Tech. Phys., 50:6 (2009), 936–943 | DOI | MR | Zbl

[10] A.H. Nayfeh, Pertubation Methods, John Wiley Sons, New York etc., 1973 | MR | Zbl

[11] V.L. Sennitskii, “Motion of inclusions in an oscillating liquid”, Siberian Physical Journal, 1995:4 (1995), 18–26

[12] V.L. Sennitskii, “Force interaction of a sphere and a viscous liquid in the presence of a wall”, J. Appl. Mech. Tech. Phys., 41:1 (2000), 50–54 | DOI | MR | Zbl