Some bifurcation diagrams for Taylor vortex flows

Journal Article · Wed May 01 04:00:00 EDT 1985 · Phys. Fluids; (United States)

DOI:https://doi.org/10.1063/1.865007· OSTI ID:6024854

Meyer-Spasche, R; Keller, H B

The numerical continuation and bifurcation methods of Keller (H. B. Keller, in Applications of Bifurcation Theory (Academic, New York, 1977), pp. 359--384) are used to study the variation of some branches of axisymmetric Taylor vortex flow as the wavelength in the axial direction changes. Closed ''loops'' of solutions and secondary bifurcations are determined. Variations with respect to Reynolds number show the same phenomena. The results presented here show that Taylor vortices with periodic boundary conditions exist in a wider range of wavelengths, lambda, than observed in the Burkhalter/Koschmieder experiments (Phys. Fluids 17, 1929 (1974)). They also show that there is possibly a lambda subinterval within the neutral curve of Couette flow such that there are no Taylor vortex flows with smallest period in this interval.

• Research Organization: Max Planck Institut fuer Plasmaphysik, D8046 Garching, West Germany
• DOE Contract Number: AT03-76ER72012
• OSTI ID: 6024854
• Journal Information: Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 28:5; ISSN PFLDA
• Country of Publication: United States
• Language: English

Related Subjects

640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANGULAR VELOCITY
ANNULAR SPACE
BOUNDARY CONDITIONS
CONFIGURATION
CYLINDERS
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID FLOW
INSTABILITY
NAVIER-STOKES EQUATIONS
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
RAYLEIGH-TAYLOR INSTABILITY
REYNOLDS NUMBER
SPACE
STEADY-STATE CONDITIONS
SYMMETRY
VELOCITY
VISCOSITY
VORTEX FLOW