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    Eagles, P. M. 1998. On equilibrium modes and their stability in the small-gap Taylor problem by a new method. Physics of Fluids, Vol. 10, Issue. 12, p. 3080.
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    Pascal, J. P. and Rasmussen, H. 1995. Stability of power law fluid flow between rotating cylinders. Dynamics and Stability of Systems, Vol. 10, Issue. 1, p. 65.
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Modes of instability in spiral flow between rotating cylinders

  • K. W. Schwarz (a1), B. E. Springett (a1) and R. J. Donnelly (a1)
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.

Copyright
© 1964 Cambridge University Press
References
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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.
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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
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