Vibrational Suspension of Two Cylinders in a Rotating Liquid-Filled Cavity with a Time-Varying Rotation Rate
Olga Vlasova*
Laboratory of Vibrational Hydromechanics, Perm State Humanitarian Pedagogical University, Perm, Sibirskaya, 614990, Russia
*
Corresponding Author: Olga Vlasova. Email: vlasova_oa@pspu.ru
(This article belongs to the Special Issue: Advanced Problems in Fluid Mechanics)
Fluid Dynamics & Materials Processing https://doi.org/10.32604/fdmp.2024.051202
Received 29 February 2024; Accepted 21 May 2024; Published online 13 June 2024
Abstract
The dynamics of rotating hydrodynamic systems containing phase inclusions are interesting due to the related
widespread occurrence in nature and technology. The influence of external force fields on rotating systems can
be used to control the dynamics of inclusions of various types. Controlling inclusions is of current interest for
space technologies. In low gravity, even a slight vibration effect can lead to the appearance of a force acting
on phase inclusions near a solid boundary. When vibrations are applied to multiphase hydrodynamic systems,
the oscillating body intensively interacts with the fluid and introduces changes in the related flow structure.
Asymmetries in the fluid flow lead to the appearance of an averaged force. As a result, the body is repelled from
the cavity boundary and takes a position at a certain distance from it. The vibrationally-induced movement of
phase inclusions in liquids can be used to improve various technological processes (for example, when degassing
and cleaning liquids from solid inclusions, mixing various components, etc.). This study presents a relevant methodology to study the averaged vibrational force acting on a pair of free cylindrical bodies near the oscillating wall
of a cavity. Attention is paid to the region of moderate and low dimensionless frequencies when the size of the
inclusion is consistent with the thickness of the Stokes boundary layer. The dynamics of these bodies is considered
in a horizontal cylindrical cavity with a fluid undergoing modulated rotation. The average lift force of a vibrational
nature is measured by the method of quasi-stationary suspension of bodies whose density differs from the density
of the liquid in a static centrifugal force field. The developed technique makes it possible to determine the dependence of the lift force on vibration parameters and the distance from the oscillating boundary at which solid inclusions are located. It is shown that in the region of moderate dimensionless frequencies, the average lift force acting
on an inclusion near the boundary undergoing modulated rotation almost linearly depends on the dimensionless
frequency.
Keywords
Solid bodies; rotational oscillations; viscous fluid; lift force
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