On the motion of flexible threads in a Stokes shear field
type: Item
instance of: scholarly article
title: On the motion of flexible threads in a Stokes shear field
zbMATH Open document ID: 0547.76006
DOI: 10.1016/0377-0257(83)85021-6
author: N. E. Zubov
published in: Journal of Non-Newtonian Fluid Mechanics
publication date: 1983-01-01T00:00:00Z
review text: Authors obtained an exact solution for the motion of a flexible, inextensible thread in an unbounded Stokes shear flow by considering the limit of infinitely small lateral/axial mobility ratios. With the aid of this solution permanence and stability have been examined for threads having uniform axial mobility. It has been shown that only piecewise straight threads can have permanent or stationary form and that a straight thread behaves as a rigid rod in the same shear field although it may not be stable in form. Stability analyses have also been carried out but resulting in no general conclusions. Limitations of the model and the possible relevance to the rheology of fibrous composites and suspensions have also been discussed.
Mathematics Subject Classification ID: 76A05
zbMATH DE Number: 3872875
zbMATH Keywords: motion of a flexible, inextensible thread
zbMATH Keywords: Stokes shear flow
zbMATH Keywords: rheology of fibrous composites
reviewed by: H. Ramkissoon
MaRDI profile type: Publication
full work available at URL: 0377-0257(83)85021-6
OpenAlex ID: W1988865214
description: scientific article; zbMATH DE number 3872875