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An experimental study of Couette instability of stratified fluids

Published online by Cambridge University Press:  29 March 2006

E. M. Withjack  and
C. F. Chen
E. M. Withjack
Affiliation:
Mechanical, Industrial and Aerospace Engineering Department, Rutgers University, New Brunswick, New Jersey 08903 Present address: Transportation Systems Center, Cambridge, Mass.
C. F. Chen
Affiliation:
Mechanical, Industrial and Aerospace Engineering Department, Rutgers University, New Brunswick, New Jersey 08903
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Abstract

The stability of Couette flow of stratified salt solutions is investigated in an apparatus with both the inner and outer cylinders rotating. The ratio of the radius of the inner cylinder to that of the outer cylinder is 0·2. The flow is visualized by means of shadowgraph and dye-trace methods. Compared with homogeneous fluids, the effect of the stabilizing density gradient is to increase the critical speed of the inner cylinder and to decrease the critical wavelength for a given angular speed of the outer cylinder. When the cylinders are rotating in the same direction, in the critical state, the instabilities appear along the inner cylinder in a spiral wave form which is itself not very stable. With counterrotating cylinders, the instabilities appear as regularly spaced vortices which, for the most part, are neither symmetric Taylor vortices nor simple spirals. In addition, these vortices rotate as a whole at a speed generally smaller than that of the inner cylinder. From shadowgraph observations, stability curves are constructed for three density gradients. The critical wavelength and the rotational periods of the vortices are also determined.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 66 , Issue 4 , 11 December 1974 , pp. 725 - 737
Copyright
© 1974 Cambridge University Press

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References

Baker, D. J. 1971 Density gradients in a rotating stratified fluid: experimental evidence of a new instability. Science, 172, 1029.Google Scholar
Chen, C. F., Liu, D. C. S. & Skok, M. W. 1972 Stability of circular Couette flow with constant finite acceleration J. Appl. Mech. 40, 347.Google Scholar
Droughton, J. V. 1969 Studies in stratified flow. Ph.D. thesis, Mechanical and Aerospace Engineering Department, Rutgers University, New Brunswick, New Jersey.
Fortuin, J. M. H. 1960 Theory and application of two supplementary methods of constructing density gradient columns J. Polymer Sci. 44, 505.Google Scholar
Kaufmann, D. W. 1960 Sodium Chloride. New York: Reinhold.
Oster, G. 1965 Density gradients Sci. Am. 213, 70.Google Scholar
Snyder, H. A. 1968a Stability of rotating Couette flow. I. Asymmetric waveforms Phys. Fluids, 11, 728.Google Scholar
Snyder, H. A. 1968b Stability of rotating Couette flow. II. Comparison with numerical results Phys. Fluids, 11, 1599.Google Scholar
Sparrow, E. M., Monro, W. D. & Jonsson, V. K. 1964 Instability of the flow between rotating cylinders: the wide gap problem. J. Fluid Mech. 20, 35.Google Scholar
Withjack, E. M. 1974 Couette instability in stratified fluids. Ph.D. thesis, Department of Mechanical, Industrial & Aerospace Engineering, Rutgers University, New Brunswick, New Jersey.