Accession Number:

ADA142844

Title:

Hopf Bifurcation in Two-Component Flow.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Renardy,M.
• Joseph,D. D.

Report Date:

1984-05-01

Pagination or Media Count:

31.0

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

Descriptors:

• *BIFURCATION(MATHEMATICS)
• *SURFACE TENSION
• *FLUID FLOW
• *COUETTE FLOW
• BOUNDARIES
• WALLS
• LONG WAVELENGTHS
• VISCOSITY
• REYNOLDS NUMBER
• TRAVELING WAVES
• ASYMPTOTIC NORMALITY
• PERIODIC VARIATIONS

Subject Categories:

• Numerical Mathematics
• Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE