Computation of transitions in Taylor vortex flows

DOI10.1007/BF00946981zbMath0483.76055OpenAlexW2149976026MaRDI QIDQ1163438

Gerd Frank

Publication date: 1981

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00946981

zbMATH Keywords

periodic boundary conditionsrotating cylindersTaylor vortex flowsvanishing axial velocity at boundary

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Nonlinear effects in hydrodynamic stability (76E30)

Related Items (4)

Flow between finite, steadily rotating eccentric cylinders ⋮ Numerical study of MHD Taylor vortex flow with low magnetic Reynolds number in finite-length annulus under uniform magnetic field ⋮ Flow between eccentric rotating cylinders: Bifurcation and stability ⋮ Subharmonic and asymmetric convection rolls

Cites Work

• Computations of the axisymmetric flow between rotating cylinders
• Stability and bifurcation of Couette flow in the case of a narrow gap between rotating cylinders
• Computation of Taylor vortex flow by a transient implicit method
• Centrifugal instabilities in finite containers: a periodic model
• Centrifugal instabilities of circumferential flows in finite cylinders: nonlinear theory
• Nonlinear Taylor vortices and their stability
• Qualitative analysis of a model for boundary effects in the Taylor problem
• On the mathematics of Taylor-vortex flows in cylinders of finite length
• Amplification rates and torques for Taylor-vortex flows between rotating cylinders
• Bifurcation phenomena in steady flows of a viscous fluid. I. Theory
• Centrifugal instabilities of circumferential flows in finite cylinders: linear theory
• Transition in circular Couette flow
• An empirical torque relation for supercritical flow between rotating cylinders

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