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On the torque of wavy vortices

Published online by Cambridge University Press:  29 March 2006

P. M. Eagles
P. M. Eagles
Affiliation:
Department of Mathematics, The City University, London
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Abstract

Numerical calculations are made of the torque required to sustain a wavy-vortex flow between rotating cylinders. The results are found to agree well with experimental work of Donnelly (1958), and give further confirmation of the validity of Davey, DiPrima & Stuart's (1968) analysis.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 62 , Issue 1 , 8 January 1974 , pp. 1 - 9
Copyright
© 1974 Cambridge University Press

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References

Davey, A. 1962 J. Fluid Mech. 14, 336–368.
Davey, A., DiPrima, R. C. & Stuart, J. T. 1968 J. Fluid Mech. 31, 17–52.
Debler, W., Füner, E. & Schaaf, B. 1968 University of Michigan Rep. EM68-2.
Donnelly, R. J. 1958 Proc. Roy. Soc A 246, 312–325.
Donnelly, R. J. & Simon, N. J. 1960 J. Fluid Mech. 7, 401–418.
Eagles, P. M. 1971 J. Fluid Mech. 49, 529–550.
Grannick, R. N. 1968 Ph.D. thesis, Dept. of Math., Rensselaer Polytech. Inst. Troy, N.Y.
Kirchgässner, K. & Sorger, P. 1969 Quart. J. Mech. Appl. Math. 22, 183–210.
Schwarz, K. W., Springett, B. E. & Donnelly, R. J. 1964 J. Fluid Mech. 20, 281–289.
Stuart, J. T. 1958 J. Fluid Mech. 4, 1–21.