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Spin-up from a rotating disk

Published online by Cambridge University Press:  11 April 2006

S. S. Chawla
S. S. Chawla
Affiliation:
Angewandte Geophysik, Technische Hochschule, Darmstadt, Germany Indian Institute of Technology, Kharagpur.
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Abstract

An analytical–numerical analysis of the fluid motion induced by an impulsive change in the angular velocity of a rotating disk is presented. Separate solutions are derived for the early development and for the approach to the ultimate state. The superposed flow is found to have variations on two length scales, and is characterized by the generation and propagation of shear-type wave trains. These decaying wave trains ultimately lead to the new von Kármán state corresponding to the changed angular velocity of the disk.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 78 , Issue 3 , 7 December 1976 , pp. 609 - 619
Copyright
© 1976 Cambridge University Press

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References

Benton, E. R. 1966 J. Fluid Mech. 24, 781.
Chawla, S. S. 1972 J. Fluid Mech. 53, 545.
Cochran, W. G. 1934 Proc. Camb. Phil. Soc. 30, 365.
Fettis, H. E. 1955 Proc. 4th Midwestern Conf. Fluid Mech., Purdue, p. 95.
Greenspan, H. P. & Howard, L. N. 1963 J. Fluid Mech. 17, 385.
Kármán, Th. Von 1921 Z. angew. Math. Mech. 1, 244.
Nigam, S. D. 1951 Quart. Appl. Math. 9, 89.
Strand, O. N. 1965 Math. Comp. 19, 127.
Thiriot, H. K. 1940 Z. angew. Math. Mech. 20, 1.