Draw resonance in film casting of viscoelastic fluids: A linear stability analysis
type: Item
instance of: scholarly article
title: Draw resonance in film casting of viscoelastic fluids: A linear stability analysis
zbMATH Open document ID: 0666.76024
DOI: 10.1016/0377-0257(88)87002-2
author: Nitin R. Anturkar
author: Albert Co
published in: Journal of Non-Newtonian Fluid Mechanics
publication date: 1988-01-01T00:00:00Z
review text: In order to understand the role of viscoelasticity on draw resonance in the isothermal film casting process, a steady state analysis and a linear stability analysis for three-dimensional flow disturbances have been conducted. The constitutive equation used is a modified convected Maxwell model, with shear-rate dependent viscosity and fluid characteristic time. The numerical results indicate that the flow is stable below a lower critical draw ratio and above an upper critical draw ratio. Shear thinning in viscosity reduces the lower critical draw ratio and somewhat increases the upper critical draw ratio - thereby enlarging the region of instability. Slower shear reduction in fluid characteristic time dramatically decreases the upper critical draw ratio but has no significant effect on the lower critical draw ratio; therefore, fluids with higher characteristic time are more stable.
Mathematics Subject Classification ID: 76A10
zbMATH DE Number: 4090997
zbMATH Keywords: viscoelasticity
zbMATH Keywords: draw resonance
zbMATH Keywords: isothermal film casting process
zbMATH Keywords: steady state analysis
zbMATH Keywords: linear stability analysis
zbMATH Keywords: three-dimensional flow disturbances
zbMATH Keywords: modified convected Maxwell model
zbMATH Keywords: shear-rate dependent viscosity
zbMATH Keywords: fluid characteristic time
MaRDI profile type: Publication
full work available at URL: 0377-0257(88)87002-2
OpenAlex ID: W1995941451
description: scientific article; zbMATH DE number 4090997