Numerical simulation and change in type in the developing flow of a nonlinear viscoelastic fluid
type: Item
instance of: scholarly article
title: Numerical simulation and change in type in the developing flow of a nonlinear viscoelastic fluid
zbMATH Open document ID: 0666.76030
DOI: 10.1016/0377-0257(88)85050-X
author: Robert E. Gaidos
author: Ron Darby
published in: Journal of Non-Newtonian Fluid Mechanics
publication date: 1988-01-01T00:00:00Z
review text: Developing flow in the entrance of a planar slit is considered. A general nonlinear constitutive equation is used which accurately represents measured viscometric properties of both low- and high-density polyethylene melts, and a finite element orthogonal collocation method is used to compute the developing velocity and stress profiles. The local elliptic-hyperbolic character of the flow is determined, and the conditions under which a local change in type, as well as the range of convergence of the solution, are identified in terms of characteristic Reynolds and Weissenberg numbers. The range of convergence of the solution for the two sets of melt properties is shown to be significantly different.
Mathematics Subject Classification ID: 76A10
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 4091003
zbMATH Keywords: entrance of a planar slit
zbMATH Keywords: general nonlinear constitutive equation
zbMATH Keywords: viscometric properties
zbMATH Keywords: low- and high-density polyethylene melts
zbMATH Keywords: finite element orthogonal collocation method
zbMATH Keywords: local elliptic-hyperbolic character of the flow
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4091003