Laminar, unidirectional flow of a thixotropic fluid in a circular pipe
type: Item
instance of: scholarly article
title: Laminar, unidirectional flow of a thixotropic fluid in a circular pipe
zbMATH Open document ID: 0781.76003
DOI: 10.1016/0377-0257(93)80043-B
author: J. W. J. Ferguson
author: J. Billingham
published in: Journal of Non-Newtonian Fluid Mechanics
publication date: 1993-09-08T00:00:00Z
review text: For certain industrial processes it is necessary to describe particular non-Newtonian fluids by thixotropic properties. The constitutive equation used in this paper characterizes the structure of those fluids by a single parameter. Two cases have been considered: a flow with constant pressure gradient and a flow with constant flow rates along a pipe. In each case a steady state solution has been given. Such solutions do exist (even sometimes not unique), and their stability is determined. Finally, the general initial value problem has been discussed and it has been shown that the solution will always tend asymptotically to a stable time- independent state.
Mathematics Subject Classification ID: 76A05
zbMATH DE Number: 410182
zbMATH Keywords: constant pressure gradient
zbMATH Keywords: constant flow rates
zbMATH Keywords: stability
zbMATH Keywords: general initial value problem
zbMATH Keywords: stable time-independent state
reviewed by: Ingolf Teipel
MaRDI profile type: Publication
full work available at URL: 0377-0257(93)80043-b
OpenAlex ID: W2049552384
description: scientific article; zbMATH DE number 410182