Similarity solutions that give rise to hyperbolicity and change of type in steady flow of a viscoelastic fluid
type: Item
instance of: scholarly article
title: Similarity solutions that give rise to hyperbolicity and change of type in steady flow of a viscoelastic fluid
zbMATH Open document ID: 0667.76017
DOI: 10.1016/0377-0257(89)85003-7
author: Claude Verdier
author: D. D. Joseph
published in: Journal of Non-Newtonian Fluid Mechanics
publication date: 1989-01-01T00:00:00Z
review text: Similarity solutions have proved to be a very useful tool for the study of flows of viscoelastic fluids since they allow as to check numerical computations against them. We compute here hyperbolic regions of the vorticity for an upper convected Maxwell model using the similarity solution of Phan-Thien for flow between rotating disks and using the similarity solution of Menon for an accelerated flow in cylindrical coordinates. We show that the extra tension becomes enormous at the edge of disks of ordinary rheometers under operating conditions.
Mathematics Subject Classification ID: 76A10
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 4092970
zbMATH Keywords: Similarity solutions
zbMATH Keywords: viscoelastic fluids
zbMATH Keywords: upper convected Maxwell model
zbMATH Keywords: similarity solution
MaRDI profile type: Publication
full work available at URL: 0377-0257(89)85003-7
OpenAlex ID: W3134540251
description: scientific article; zbMATH DE number 4092970