Oscillatory Stokes flow in two dimensions
type: Item
instance of: scholarly article
title: Oscillatory Stokes flow in two dimensions
zbMATH Open document ID: 0829.76017
DOI: 10.1016/0093-6413(94)90026-4
author: A. Avudainayagam
author: J. Geetha
published in: Mechanics Research Communications
publication date: 1995-05-14T00:00:00Z
review text: Plane oscillatory Stokes flow has been discussed using circular harmonics. The solutions for (i) longitudinal oscillations of a circular cylinder in an unbounded flow, and (ii) oscillational shear flow past a circular cylinder have been obtained. The stream function in (i) can be interpreted as a combination of Stokeslet and potential doublet, and in (ii) can be identified as a combination of Stokeslet, Stokes dublet, and potential quadruplets. The flow field in the case (ii) can be compared with the flow due to a rigid plate moving in its own plane with sinusoidal variation of the velocity in a fluid otherwise at rest. Circle theorem for these flows has also been given.
Mathematics Subject Classification ID: 76D07
zbMATH DE Number: 754965
zbMATH Keywords: circle theorem
zbMATH Keywords: circular harmonics
zbMATH Keywords: longitudinal oscillations
zbMATH Keywords: circular cylinder
zbMATH Keywords: shear flow
zbMATH Keywords: stream function
zbMATH Keywords: Stokeslet
zbMATH Keywords: potential doublet
zbMATH Keywords: Stokes dublet
zbMATH Keywords: potential quadruplets
zbMATH Keywords: rigid plate
reviewed by: Balswaroop Bhatt
MaRDI profile type: Publication
full work available at URL: 0093-6413(94)90026-4
OpenAlex ID: W2006282340
description: scientific article; zbMATH DE number 754965