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The flow induced by torsional oscillations of infinite planes

Published online by Cambridge University Press:  29 March 2006

A. F. Jones  and
S. Rosenblat
A. F. Jones
Affiliation:
Mathematics Department, Imperial College, London Present address: Department of Mechanics, Johns Hopkins University, Baltimore. 22
S. Rosenblat
Affiliation:
Mathematics Department, Imperial College, London
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Abstract

A viscous fluid is confined between two parallel, infinite planes which perform torsional oscillations of small amplitude about a common axis. The resulting flow is studied for the case of high-frequency oscillations, when boundary layers form adjacent to moving surfaces. Particular analysis is made of the second-order, steady, radial-axial streaming. It is shown that in certain circumstances viscosity may be effective throughout the domain of flow, while in others there is a region in which viscosity is negligible.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 37 , Issue 2 , 23 June 1969 , pp. 337 - 347
Copyright
© 1969 Cambridge University Press

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References

Barcilon, V. 1965 Tellus, 17, 53.
Barcilon, V. & Pedlosky, J. 1967 J. Fluid Mech. 29, 609.
Batchelor, G. K. 1954 Quart. Appl. Math. 12, 209.
Benjamin, T. B. 1957 J. Fluid Mech. 2, 554.
Drazin, P. G. & Howard, L. N. 1962 J. Fluid Mech. 14, 257.
Elder, J. W. 1965a J. Fluid Mech. 23, 77.
Elder, J. W. 1965b J. Fluid Mech. 23, 99.
Elder, J. W. 1966 J. Fluid Mech. 24, 823.
Gershuni, G. Z. 1953 Zh. Tekh. Fiz. 23, 1838.
Gershuni, G. Z. 1955 Zh. Tekh. Fiz. 25, 351.
Gershuni, G. Z. & Zhukhovitzki, E. M. 1958 Izv. Vyssh. Uchebn. Zavedenii Fiz. no. 4, 43.
Gill, A. E. 1966 J. Fluid Mech. 26, 515.
Gregory, N., Stuart, J. T. & Walker, W. S. 1955 Phil. Trans. A, 248, 155.
Kappus, H. & Lehmann, A. 1965 Deutsche Luft- und Raumfahrt, Forschungsbericht 65–15.
Lin, C. C. 1955 The Theory of Hydrodynamic Stability. Cambridge University Press.
Lilly, D. K. 1966 J. Atmos. Sci. 23, 481.
Nachtsheim, P. R. 1963 NASA TN D-2089.
Polymeropoulos, C. E. & Gebhart, B. 1967 J. Fluid Mech. 30, 225.
Prandtl, L. 1952 Essentials of Fluid Dynamics. New York: Hafner.
Rudakov, R. N. 1967 PMM, 31, 367.
Szewczyk, A. A. 1962 Int. J. Heat Mass Transfer, 5, 903.
Veronis, G. 1967 Tellus, 19, 326.