Hopf Bifurcation in Two-Component Flow.

Abstract

The stability of viscosity-stratified bicomponent flow has been studied by long wave asymptotics, by short wave asymptotics and numerically. These studies have shown that interfacial instabilities arise from the viscosity difference between the two fluids. If the surface tension between the fluids is non-zero, then Hopf type bifurcations leading to traveling interfacial waves are expected. This paper proves a rigorous theorem establishing the existence of bifurcating solutions of this nature. (Author)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1984
Accession Number
ADA142844

Entities

People

  • D. D. Joseph
  • Michael Renardy

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Computational Fluid Dynamics
  • Computational Science
  • Couette Flow
  • Differential Equations
  • Equations
  • Fluid Dynamics
  • Fluid Mechanics
  • Geometry
  • Mathematics
  • Mechanics
  • Reynolds Number
  • Surface Tension
  • Two Dimensional
  • United States
  • Viscosity
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Fluid Dynamics.