Hostname: page-component-7479d7b7d-qs9v7 Total loading time: 0 Render date: 2024-07-12T18:20:40.188Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Published online by Cambridge University Press:  20 April 2006

G. P. Neitzel
G. P. Neitzel
Affiliation:
Department of Mechanical and Aerospace Engineering, Arizona State University, Tempe, Arizona 85287
Get access Rights & Permissions [Opens in a new window]

Abstract

The time-dependent Navier-Stokes equations are integrated numerically for a finite-length concentric-cylinder geometry. The motion is initiated by an impulsive start of the inner cylinder from a state of rest. The transient development of a Taylor-vortex structure is discussed from the standpoint of the amplitude history, the onset time and vortex-front propagation; steady-state results are compared with previously published experimental results.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 141 , April 1984 , pp. 51 - 66
Copyright
© 1984 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Ahlers, G. & Cannell, D. S. 1983 Vortex-front propagation in rotating Couette-Taylor flow. Phys. Rev. Lett. 50, 1583.Google Scholar
Alonso, C. V. & Macagno, E. O. 1973 Numerical integration of the time-dependent equations of motion for Taylor vortex flow. Comp. Fluids 1, 301.Google Scholar
Alziary de Roquefort, T. & Grillaud, G. 1978 Computation of Taylor vortex flow by a transient implicit method. Comp. Fluids 6, 259.Google Scholar
Benjamin, T. B. & Mullin, T. 1982 Notes on the multiplicity of flows in the Taylor experiment. J. Fluid Mech. 121, 219.Google Scholar
Benton, E. R. & Clark, A. 1974 Spin-up. Ann. Rev. Fluid Mech. 6, 257.Google Scholar
Burkhalter, J. E. & Koschmieder, E. L. 1974 Steady supercritical Taylor vortices after sudden starts. Phys. Fluids 17, 1929.Google Scholar
Coles, D. 1965 Transition in circular Couette flow. J. Fluid Mech. 21, 385.Google Scholar
Davis, S. H. 1976 The stability of time-periodic flows. Ann. Rev. Fluid Mech. 8, 57.Google Scholar
DiPrima, R. C. & Swinney, H. L. 1981 Instabilities and transition in flow between concentric rotating cylinders. In Hydrodynamic Instabilities and the Transition to Turbulence (ed. H. L. Swinney & J. P. Gollub), p. 139. Springer.
Donnelly, R. J., Schwarz, K. W. & Roberts, P. H. 1965 Experiments on the stability of viscous flow between rotating cylinders. VI. Finite amplitude experiments. Proc. R. Soc. Lond. A 283, 531.Google Scholar
Greenspan, H. P. 1968 The Theory of Rotating Fluids. Cambridge University Press.
Homsy, G. M. 1973 Global stability of time-dependent flows: impulsively heated or cooled fluid layers. J. Fluid Mech. 60, 129.Google Scholar
Kirchner, R. P. & Chen, C. F. 1970 Stability of time-dependent rotational Couette flow. Part 1. Experimental investigation. J. Fluid Mech. 40, 39.Google Scholar
Kitchens, C. W. 1980 Navier-Stokes solutions for spin-up in a filled cylinder. AIAA J. 18, 929.Google Scholar
Liu, D. C. S. & Chen, C. F. 1973 Numerical experiments on time-dependent rotational Couette flow. J. Fluid Mech. 59, 77.Google Scholar
Meyer-Spasche, R. & Keller, H. B. 1980 Computations of the axisymmetric flow between rotating cylinders. J. Comp. Phys. 35, 100.Google Scholar
Mullin, T. 1982 Mutations of steady cellular flows in the Taylor experiment. J. Fluid Mech. 121, 207.Google Scholar
Neitzel, G. P. 1982a Stability of circular Couette flow with variable inner-cylinder speed. J. Fluid Mech. 123, 43.Google Scholar
Neitzel, G. P. 1982b Marginal stability of impulsively initiated Couette flow and spin-decay. Phys. Fluids 25, 226.Google Scholar
Neitzel, G. P. & Davis, S. H. 1981 Centrifugal instabilities during spin-down to rest in finite cylinders. Numerical experiments. J. Fluid Mech. 102, 329.Google Scholar
Snyder, H. A. 1969 Wave-number selection at finite amplitude in rotating Couette flow. J. Fluid Mech. 35, 273.Google Scholar