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Fluid Dynamics
Published in: Fluid Dynamics 7/2020

01-09-2020

Stability of an Elastically Supported Cylinder in a Circular Viscous Fluid Flow

Authors: A. G. Petrov, M. A. Yudin

Published in: Fluid Dynamics | Issue 7/2020

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Abstract

A system consisting of two cylinders (the inner cylinder is elastically supported and the outer cylinder is rigidly fixed) and a circulation flow of viscous incompressible fluid between them is considered. In the equilibrium position the cylinders are coaxial and the inner one rotates at a constant angular velocity Ω. An expression is obtained of the force acting on the inner cylinder from the side of the fluid in the approximation of large Reynolds numbers at a small deviation of the inner cylinder from its equilibrium position. It is shown that the force has a hereditary character and depends on the entire trajectory of motion. The stability of the position of the inner elastically supported cylinder is studied in the linear approximation taking into account the hereditary force acting on the inner cylinder.
previous article Fluid Kinetic Energy Asymptotic Expansion for Two Variable Radii Moving Spherical Bubbles at Small Separation Distance
next article System of Orthogonal Curvilinear Coordinates on the Isentropic Surface behind a Detached Bow Shock Wave

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Literature
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Metadata
Title
Stability of an Elastically Supported Cylinder in a Circular Viscous Fluid Flow
Authors
A. G. Petrov
M. A. Yudin
Publication date
01-09-2020
Publisher
Pleiades Publishing
Published in
Fluid Dynamics / Issue 7/2020
Print ISSN: 0015-4628
Electronic ISSN: 1573-8507
DOI
https://doi.org/10.1134/S0015462820070071

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