Motion of a solid sphere in a general flow near a plane boundary at zero Reynolds number
type: Item
instance of: scholarly article
title: Motion of a solid sphere in a general flow near a plane boundary at zero Reynolds number
zbMATH Open document ID: 0882.76022
DOI: 10.1007/BF00118830
author: R. G. Cox
published in: Journal of Engineering Mathematics
publication date: 1998-03-05T00:00:00Z
review text: It is demonstrated how the hydrodynamic force and moment of force acting on a solid sphere may be calculated when it is placed at rest at an arbitrary position in a two-dimensional flow at zero Reynolds number in which the region of flow is bounded by either an undeformable planar free surface or by a plane solid wall. The results so obtained are used to calculate the motion of a freely moving solid sphere in an asymmetric vortex in the presence of an undeformable free surface.
Mathematics Subject Classification ID: 76D99
zbMATH DE Number: 1050925
zbMATH Keywords: dilute suspension of such spherical particles
zbMATH Keywords: hydrodynamic force
zbMATH Keywords: moment of force
zbMATH Keywords: asymmetric vortex
MaRDI profile type: Publication
cites work: Q3753663
cites work: A Slow motion of viscous liquid caused by a slowly moving solid sphere
cites work: A slow motion of viscous liquid caused by the rotation of a solid sphere
cites work: The lateral migration of a spherical particle in two-dimensional shear flows
cites work: Inertial migration of rigid spheres in two-dimensional unidirectional flows
cites work: A slow motion of viscous liquid caused by a slowly moving solid sphere: an addendum
full work available at URL: https://doi.org/10.1007/bf00118830
OpenAlex ID: W4230810888
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description: scientific article; zbMATH DE number 1050925