Remarks on the Stability of Viscometric Flow.

Abstract

In flows of viscoelastic liquids, instabilities frequently arise at high shear rates. The explanation for these instabilities is still a largely unsolved problem. This paper discusses some consequences of a recent theory due to E. Becker and his coworkers at Darmstadt. This theory predicts instabilities if the first normal stress differences is sufficiently high. We show that this instability is associated with a change of type in the governing equation. The theory is based on a certain approximation. The justification for this approximation is also discussed and is found to be problematic. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1983
Accession Number
ADA134571

Entities

People

  • D. D. Joseph
  • M. Ahrens
  • Michael Renardy
  • Y. Renardy

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundary Layer
  • Boundary Layer Flow
  • Chebyshev Polynomials
  • Computational Fluid Dynamics
  • Couette Flow
  • Equations
  • Fluid Dynamics
  • Fluid Flow
  • Fluid Mechanics
  • Materials
  • Mathematics
  • Polynomials
  • Reynolds Number
  • Shear Flow
  • Two Dimensional
  • United States
  • Universities

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.
  • Organizational Psychology.