Squeeze-film flow of a viscoelastic fluid a lubrication model
type: Item
instance of: scholarly article
title: Squeeze-film flow of a viscoelastic fluid a lubrication model
zbMATH Open document ID: 0669.76011
DOI: 10.1016/0377-0257(88)85036-5
published in: Journal of Non-Newtonian Fluid Mechanics
publication date: 1988-01-01T00:00:00Z
review text: In this paper the constant-speed squeezing flow of a model viscoelastic fluid which allows for a Carreau-type viscosity and a stress overshoot in a startup of a shear flow is considered. Based on the knowledge of the full numerical solution by a boundary element method a set of lubrication equations is constructed which we believe to retain all the essential physics. The lubrication equations consist of four partial differential equations in time and one spatial coordinate. These are more tractable than the full set of governing equations (partial differential equations in time and two spatial coordinates). The lubrication equations are solved by a finite difference scheme, and the results are compared favourably with the full numerical solutions. The mechanism for load enhancement is also discussed.
Mathematics Subject Classification ID: 76A05
Mathematics Subject Classification ID: 76D08
Mathematics Subject Classification ID: 76A10
zbMATH DE Number: 4096922
zbMATH Keywords: constant-speed squeezing flow
zbMATH Keywords: viscoelastic fluid
zbMATH Keywords: Carreau-type viscosity
zbMATH Keywords: stress overshoot
zbMATH Keywords: shear flow
zbMATH Keywords: boundary element method
zbMATH Keywords: lubrication equations
zbMATH Keywords: finite difference scheme
author: N. Phan-Thien
author: H. T. Low
MaRDI profile type: Publication
full work available at URL: 0377-0257(88)85036-5
OpenAlex ID: W2002775845
Wikidata QID: Q127249934
description: scientific article; zbMATH DE number 4096922