Numerical computation of time-dependent Taylor-vortex flows in finite-length geometries

DOI10.1017/S0022112084000732zbMath0543.76039OpenAlexW2172075790MaRDI QIDQ3332543

G. Paul Neitzel

Publication date: 1984

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112084000732

zbMATH Keywords

steady-state resultsamplitude historyconcentric-cylinder geometryimpulsive start of the inner cylinderonset time and vortex-front propagationtime-dependent Taylor-vortex flowstransient development of a Taylor- vortex structure

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Basic methods in fluid mechanics (76M99)

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Computation of anomalous modes in the Taylor experiment, Hydrodynamic stability of thermocapillary convection in liquid bridges, Numerical study of MHD Taylor vortex flow with low magnetic Reynolds number in finite-length annulus under uniform magnetic field, Numerical studies of ``side-by-side and other modes for the Taylor problem in a finite annulua, Energy stability of thermocapillary convection in a model of the float-zone crystal-growth process, Cellular flow in a partially filled rotating drum: regular and chaotic advection, Aspect-ratio dependence of transient Taylor vortices close to threshold, Time scales for transition in Taylor-Couette flow, A numerical simulation of the appearance of chaos in finite-length Taylor-Couette flow, Nonlinear development of flow patterns in an annulus with decelerating inner cylinder, Görtler vortices in the Rayleigh layer on an impulsively started cylinder, Interaction between Ekman pumping and the centrifugal instability in Taylor–Couette flow, Numerical study of plane Couette flow in a rotating framework

Cites Work

• Computations of the axisymmetric flow between rotating cylinders
• Numerical integration of the time-dependent equations of motion for Taylor vortex flow
• Computation of Taylor vortex flow by a transient implicit method
• Marginal stability of impulsively initiated Couette flow and spin-decay
• Transition in circular Couette flow
• Numerical experiments on time-dependent rotational Couette flow
• Global stability of time-dependent flows: impulsively heated or cooled fluid layers