Hyperbolicity and Change of Type in the Flow of Viscoelastic Fluids.

Abstract

The equations governing the flow of viscoelastic liquids are classified according to the symbol of their differential operators. Propagation of singularities is discussed and conditions for a change of type are investigated. The vorticity equation for steady flow can change type when a critical condition involving speed and stresses is satisfied. This leads to a partitioning of the field of flow into subcritical and supercritical regions, as in the problem of transonic flow. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1984
Accession Number
ADA141508

Entities

People

  • D. D. Joseph
  • J. C. Saut
  • Michael Renardy

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Equations
  • Fluid Dynamics
  • Fluid Flow
  • Fluid Mechanics
  • Formulas (Mathematics)
  • Gas Dynamics
  • Hydrodynamics
  • Materials
  • Mechanical Properties
  • Mechanics
  • Numerical Analysis
  • Steady Flow
  • Transonic Flow

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Linear Algebra