Dynamics of rigid dumbbells in confined geometries. II. Time-dependent shear flow
type: Item
instance of: scholarly article
title: Dynamics of rigid dumbbells in confined geometries. II. Time-dependent shear flow
zbMATH Open document ID: 0567.76016
DOI: 10.1016/0377-0257(85)85016-3
author: O. Ok. Park
author: Gerald G. Fuller
published in: Journal of Non-Newtonian Fluid Mechanics
publication date: 1985-01-01T00:00:00Z
review text: [For part I see the authors, ibid. 15, 309-329 (1984; Zbl 0559.76010).] This paper describes analytical solutions to the response of a rigid dumbbell to a time-dependent simple shear flow in a channel of arbitrary size. The results were applied for specific flows, such as the sudden inception and cessation of simple shear and oscillatory shear flow. The introduction of confining walls leads to several qualitative differences compared with an unbounded flow such as initial negative jumps in the contribution of the dumbbell to the viscosity and the first normal stress coefficient. In addition, wall effects lead to a breakdown of well-known relationships between the complex viscosity and the complex normal stress coefficient during oscillatory flow.
Mathematics Subject Classification ID: 76A05
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 3906053
zbMATH Keywords: expansion in spherical harmonics
zbMATH Keywords: rigid dumbbell
zbMATH Keywords: time-dependent simple shear flow
zbMATH Keywords: channel of arbitrary size
zbMATH Keywords: wall effects
MaRDI profile type: Publication
full work available at URL: 0377-0257(85)85016-3
OpenAlex ID: W1995653791
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description: scientific article; zbMATH DE number 3906053