Hostname: page-component-7c8c6479df-nwzlb Total loading time: 0 Render date: 2024-03-28T18:06:05.608Z Has data issue: false hasContentIssue false

Steady supercritical Taylor vortex flow

Published online by Cambridge University Press:  29 March 2006

J. E. Burkhalter
Affiliation:
College of Engineering, The University of Texas, Austin Present address: Auburn University, Auburn, Alabama.
E. L. Koschmieder
Affiliation:
College of Engineering, The University of Texas, Austin

Abstract

Experiments studying steady supercritical Taylor vortex flow have been made using pairs of long cylinders with two different radius ratios, three fluids of different viscosities and three different end boundaries for the fluid column. The emphasis in these experiments is on the determination of the wavelength of the Taylor vortices and the size of the end rings. The wavelength which one measures in a finite cylinder differs from the wavelengths found theoretically for infinitely long cylinders. Provided that the end effects were properly taken into account, the wavelength of singly periodic Taylor vortices in aninfinitely long cylinder was found to remain constant between T/Tc = 1 and T/Tc, ≈ 80 in experiments with radius ratios η = 0·505 and η = 0·727. Further studies of Taylor vortex flow at very high Taylor numbers, where the vortices are either doubly periodic or truly turbulent, showed that the wavelength increases under these conditions. However, the observed wavelengths were no longer unique but distributed statistically around a wavelength larger than the critical wavelength.

Type
Research Article
Copyright
© 1973 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

Burkhalter, J. E. 1972 Ph.D. dissertation, University of Texas, Austin.
Burkemlter, J. E. & Koschmieder, E. L. 1973 Submitted for publication.
Coles, D. 1965 J. FZuid Mech. 21, 385.
Donnelly, R. J. & Fultz, D. 1960 Proc. Roy. Soc. A 258, 101.
Donnelly, R. J. & Schwarz, K. W. 1965 Proc. Roy. Soc. A 283, 531.
Kocelman, S. & Diprima, R. C. 1970 Phys. Fluids 13, 1.
Koschmieder, E. L. 1973 Adv. Chern. Phys., to appear.
Pai, S. I. 1943 N.A.C.A. Tech. Note, no. 892.
Roberts, P. H. 1965 Proc. Roy. Soc. A 283, 550.
Schultz-Grunow, F. & Hein, H. 1956 Z. Flugwiss. 4, 28.
Snyder, H. A. 1969 J. Fluid Mech. 35, 273.
Stuart, J. T. 1971 Ann. Rev. Fluid Mech. 3, 347.