Journal of Fluid Mechanics · 1988 · 91 citations · 16 references
Natural SciencesMechanical EngineeringPhysicsFinite Element AnalysisFinite Element MethodsFluid DynamicsAnnular FlowBifurcation TheoryFlow StabilityHydrodynamic StabilityVortex DynamicsAnnular Flow BehaviorAnnular Flow ModelingBifurcationBifurcation AnalysisBifurcation DiagramsBifurcation Flow DynamicsCouette FlowNumerical Modelling
We present the results of an experimental and numerical investigation into Taylor-Couette flow with gap-length to width ratios (Γ = l / d ) ranging from 0.3 to 1.4. Laser-Doppler-velocimetry is used to obtain quantitative information on the bifurcation set experimentally, and novel flow phenomena are uncovered. These results are compared with those obtained using numerical bifurcation techniques applied to a finite-element discretization of the Navier-Stokes equations. In general, the agreement is good and most of the observations are satisfactorily explained.
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NUMERICAL SOLUTION OF BIFURCATION AND NONLINEAR EIGENVALUE PROBLEMS.
H. B. Keller · 1977 · 1K citations