On the flow of a non-Newtonian fluid between rotating, coaxial discs
type: Item
instance of: scholarly article
title: On the flow of a non-Newtonian fluid between rotating, coaxial discs
zbMATH Open document ID: 0619.76001
DOI: 10.1007/BF00946333
author: W. P. Walsh
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1987-01-01T00:00:00Z
review text: This paper is concerned with the torsional flow of an Oldroyd-B fluid. The kinematics is restricted to that commonly referred to as Von Kármán kinematics. These restrictions allow the reduction of the problem to a set of ordinary differential equations. The problem is then solved with finite differences using well-known branch following and jumping techniques. The solution of this set of equations is discussed, and it is found that the solutions either lose stability at subcritical bifurcation points, or fold back on themselves at limit points. Either of these will cause a high Weissenberg number problem. Comparisons are also made with the known solutions to the Newtonian problem by considering small values of the Weissenberg number.
Mathematics Subject Classification ID: 76A05
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 76U05
zbMATH DE Number: 4005799
zbMATH Keywords: branch following technique
zbMATH Keywords: torsional flow
zbMATH Keywords: Oldroyd-B fluid
zbMATH Keywords: Von Kármán kinematics
zbMATH Keywords: finite differences
zbMATH Keywords: jumping techniques
zbMATH Keywords: subcritical bifurcation points
zbMATH Keywords: limit points
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4005799