Hostname: page-component-848d4c4894-8kt4b Total loading time: 0 Render date: 2024-06-19T20:21:50.236Z Has data issue: false hasContentIssue false
  • English
  • Français

Modes of instability in spiral flow between rotating cylinders

Published online by Cambridge University Press:  28 March 2006

K. W. Schwarz ,
B. E. Springett  and
R. J. Donnelly
K. W. Schwarz
Affiliation:
Institute of the Study of Metals and Department of Physics, University of Chicago
B. E. Springett
Affiliation:
Institute of the Study of Metals and Department of Physics, University of Chicago
R. J. Donnelly
Affiliation:
Institute of the Study of Metals and Department of Physics, University of Chicago
Get access Rights & Permissions [Opens in a new window]

Abstract

A study of the stability of flow between concentric cylinders, with the inner one rotating, distinguished three kinds of instabilities: the familiar axisymmetric mode, an azimuthal mode with the predicted exp i(θ—ωt) angular dependence, and a completely non-symmetric instability which apparently arises from the interaction of the other two. The effect of small axial flow upon all of these modes was to give an approximately parabolic dependence of the critical Taylor number on the axial flow rate. In the case of the axisymmetric mode, agreement with the theory of Krueger & Di Prima (1964) was found to be excellent.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 20 , Issue 2 , October 1964 , pp. 281 - 289
Copyright
© 1964 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

Chandrasekhar, S. 1960 Proc. Nat. Acad. Sci. Wash. 46, 141.
Chandrasekhar, S. 1962 Proc. Roy. Soc. A, 265, 188.
DiPrima, R. C. 1960 J. Fluid Mech. 9, 621.
DiPrima, R. C. 1961 Phys. Fluids, 4, 751.
Donnelly, R. J. & Fultz, D. 1960a Proc. Nat. Acad. Sci. Wash. 46, 1150.
Donnelly, R. J. & Fultz, D. 1960b Proc. Roy. Soc. A, 248, 101.
Donnelly, R. J. & Schwarz, K. W. 1964 Proc. Roy. Soc. A (to be published).
Krueger, E. R. & DiPrima, R. C. 1964 J. Fluid Mech. 19, 528.
Krueger, E. R., Gross, A. & DiPrima, R. C. 1964 Submitted to J. Fluid Mech.
Snyder, H. A. 1962 Proc. Roy. Soc. A, 265, 198.