Hostname: page-component-669899f699-chc8l Total loading time: 0 Render date: 2025-04-30T02:40:48.107Z Has data issue: false hasContentIssue false
  • English
  • Français

Turbulent Taylor vortex flow

Published online by Cambridge University Press:  18 April 2017

E. L. Koschmieder
E. L. Koschmieder*
Affiliation:
College of Engineering , and I. , Prigogine Center for Statistical Mechanics, The University of Texas, Austin
Get access Rights & Permissions [Opens in a new window]

Extract

The wavelength of turbulent Taylor vortices at very high Taylor numbers up to 40000Tc, has been measured in long fluid columns with radius ratios η = 0·896 and η = 0·727. Following slow acceleration procedures the wavelength (in units of the gap width) of turbulent axisymmetric vortices was found to be λ = 3·4 ± 0·1 with the small gap and about λ = 2·4 ± 0·1 with the larger gap, and thus in both cases substantially larger than the critical wavelength of laminar Taylor vortices. In the narrow and wide gap the wavelength was, within experimental error, independent of the Taylor number for T > 100Tc. In the experiments with the narrow gap a clear dependence of the value of the wavelength of the turbulent vortices on initial conditions was found. After sudden starts to Taylor numbers > 700Tc the wavelength of steady axisymmetric turbulent vortices was only 2·4 ± 0·05, being then the same as the wavelength of the vortices after sudden starts in the wide gap, and being, within the experimental error, independent of the Taylor number. In the narrow gap all values of the wavelength between λmax = 3·4 and λmin = 2·4 can be realized as steady states through different acceleration procedures. In the wide gap the dependence of the wavelength on initial conditions is just within the then larger experimental uncertainty of the measurements.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 93 , Issue 3 , August 1979 , pp. 515 - 527
Copyright
Copyright © Cambridge University Press 1979

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.)

Article purchase

Temporarily unavailable

References

Barcilon, A., Beindley, J., Lessen, M. & Mobbs, F. R. 1979 (To be published.)Google Scholar
Batchelor, G. K. 1946 Proc. Roy. Soc. A 186, 480.Google Scholar
Benjamin, T. B. 1978 Proc. Roy. Soc. A 359, 27.Google Scholar
Bttrkhalter, J. E. & Koschmieder, E. L. 1973 J. Fluid Mech. 58, 547.CrossRefGoogle Scholar
Burkhalter, J. E. & Koschmieder, E. L. 1974 Phys. Fluids 17, 1929.CrossRefGoogle Scholar
Cole, J. A. 1976 J. Fluid Mech. 75, 1.Google Scholar
Coles, D. 1965 J. Fluid Mech. 21, 385.Google Scholar
Davey, A., Diprima, R. C. & Stuart, J. T. 1968 J. Fluid Mech. 31, 17.CrossRefGoogle Scholar
Diprima, R. C. 1978 Eighth U.S. Nat. Congr. Appl. Mech., UCLA. Google Scholar
Eagles, P. M. 1971 J. Fluid Mech. 49, 529.Google Scholar
Fenstermacher, P. R., Swinney, H. L. & Gollub, J. P. 1979 J. Fluid Mech. (to appear).Google Scholar
Herring, J. R., Orszag, S. A., Kraichnan, R. H. & Fox, D. G. 1974 J. Fluid Mech. 66, 417.CrossRefGoogle Scholar
Koschmieder, E. L. 1975 Phys. Fluids 18, 499.Google Scholar
Koschmieder, E. L. 1978 Proc. XVII Int. Solvay Congr. Phys. (to appear).Google Scholar
Lilly, D. K. 1971 J. Fluid Mech. 45, 395.CrossRefGoogle Scholar
Nakaya, C. 1975 J. Phys. Soc. Japan 38, 576.CrossRefGoogle Scholar
Pai, S. I. 1943 N.A.C.A. Tech. Note no. 892.Google Scholar
Roberts, P. H. 1965 Proc. Roy. Soc. A 283, 550.Google Scholar
Schttltz-Grunow, F. & Hein, H. 1956 Z. Flugwiss. 4, 28.Google Scholar
Taylor, G. I. 1923 Phil. Trans. Roy. Soc. A 223, 289.Google Scholar
Van Atta, C. 1966 J. Fluid Mech. 25, 495.Google Scholar
Walden, R. W. & Donnelly, R. J. 1979 Phys. Rev. Lett. 42, 301.Google Scholar
Yahata, H. 1979 Prog. Theor. Phys. (to appear).Google Scholar