On the hydrodynamic interaction of two circular cylinders oscillating in a viscous fluid
type: Item
instance of: scholarly article
title: On the hydrodynamic interaction of two circular cylinders oscillating in a viscous fluid
zbMATH Open document ID: 0642.76043
DOI: 10.1007/BF00945766
author: Zh. Kozhoukharova
author: A. Iordanova
author: Z. D. Zapryanov
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1988-01-01T00:00:00Z
review text: The present paper deals with the plane flow fields induced by two parallel circular cylinders with radii a and b oscillating in a direction which is i) parallel or ii) perpendicular to the plane containing their axes. The effect of the cylinders' hydrodynamic interaction on steady streaming has been studied analytically at high frequency by the method of matched asymptotic expansions. It is found that if \(a=b\) the steady streaming is directed symmetrically to the cylinders while when \(a\neq b\) (in the case i) the secondary steady flow is directed towards the larger cylinder and one of the outer steady vortices disappears. It is shown in case i) that the drag force acting on each cylinder is smaller than the same force experienced on a single cylinder with the same radius which is placed in an unbounded oscillating flow. When the cylinder radii are equal, the drag is greater on the forward cylinder than on the rear one. In contrast, in case ii), where \(a=b\), it is shown that the drag on each of the two cylinders is greater than the drag acting on a single cylinder with the same radius placed in an unbounded oscillating stream and also each of the cylinders experiences a repulsive force in a direction perpendicular to the oscillating flow.
Mathematics Subject Classification ID: 76D10
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 35Q30
zbMATH DE Number: 4047273
zbMATH Keywords: plane flow
zbMATH Keywords: parallel circular cylinders
zbMATH Keywords: hydrodynamic interaction
zbMATH Keywords: method of matched asymptotic expansions
zbMATH Keywords: drag force
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4047273