Convective motion and transfer of force by many-body hydrodynamic interaction
type: Item
instance of: scholarly article
title: Convective motion and transfer of force by many-body hydrodynamic interaction
zbMATH Open document ID: 0666.76116
DOI: 10.1016/0378-4371(87)90277-9
author: S. H. Smith
published in: Physica A
publication date: 1987-01-01T00:00:00Z
review text: We consider hydrodynamic interactions between N rigid bodies of arbitrary shape immersed in an incompressible fluid. When the bodies are carried along by an incident flow without exerting forces or torques on the fluid then their translational and rotational velocities are linearly related to the incident flow velocity by convection kernels. In the absence of an incident flow, but with applied forces and torques, the force density acting on the fluid is linearly related to the forces and torques by transfer kernels. We show that the convection and transfer kernels are simply related by a symmetry relation. For freely moving bodies the force density exerted on the fluid is related to the incident flow by a convective friction kernel. We show that this kernel is symmetric.
Mathematics Subject Classification ID: 76R50
Mathematics Subject Classification ID: 80A20
Mathematics Subject Classification ID: 70F99
Mathematics Subject Classification ID: 82D15
Mathematics Subject Classification ID: 76A02
zbMATH DE Number: 4091089
zbMATH Keywords: hydrodynamic interactions between N rigid bodies
zbMATH Keywords: convection kernels
MaRDI profile type: Publication
full work available at URL: 0378-4371(87)90277-9
OpenAlex ID: W1993945439
cites work: The effect of Brownian motion on the transport properties of a suspension of spherical particles
description: scientific article; zbMATH DE number 4091089