A Finite Difference Study of the Stretching and Break-Up of Filaments of Polymer Solutions.

Abstract

The stretching and break-up of a viscoelastic filament pulled by a constant weight is studied numerically by a finite difference method. The results show the following tendencies: 1. Newtonian filaments, even in the absence of surface tension, show a rapid increase in elongation at one particular point (these break there). 2. The addition of a viscoelastic polymer prevents or at least delays the break-up, even if it makes only a small difference to shear viscosity. 3. Surface tension accelerates break-up, but even in the presence of surface tension elasticity has a stabilizing effect. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1984
Accession Number
ADA139258

Entities

People

  • Michael Renardy
  • P. Markowich

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Elastic Properties
  • Equations
  • Filaments
  • Layers
  • Mathematics
  • Military Research
  • Nonlinear Systems
  • North Carolina
  • Surface Tension
  • United States
  • Universities
  • Viscosity
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Electrical Engineering
  • Fluid Dynamics.
  • Reinforced Composite Materials