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A note on rotating Hele Shaw cells

Published online by Cambridge University Press:  20 April 2006

Fritz H. Bark  and
Ove Sundström
Fritz H. Bark
Affiliation:
Department of Mechanics, The Royal Institute of Technology, Stockholm
Ove Sundström
Affiliation:
Department of Mechanics, The Royal Institute of Technology, Stockholm Department of Hydromechanics, The Royal Institute of Technology, Stockholm
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Abstract

The effect of rotation on the flow around an obstacle in a Hele Shaw cell is considered. For the flow outside the strip-shaped boundary layer near the obstacle, it is shown that the rotating and non-rotating cases are related by a simple transformation. The flow in the boundary layer near the obstacle is computed numerically and its relation to the Stewartson E¼ and $E^{\frac{1}{3}}$ layers is briefly discussed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 111 , October 1981 , pp. 271 - 281
Copyright
© 1981 Cambridge University Press

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References

Baker, D. J. 1967 J. Fluid Mech. 29, 165.
Goldin, E. M. 1957 Izv. Akad. Nauk S.S.S.R. 7, 1980.
Hashimoto, K. & Matsuda, T. 1979 Proc. Third Workshop on Gases in Strong Rotation (ed. G. Scuricini), p. 103. Divisione Materali Combustibili, Comitato Nazionale Energia Nucleare, Rome.
Hele Shaw, H. S. 1898 Nature 58, 34.
Jeyapalan, K. & Bennet, A. F. 1980 Z. angew. Math. Phys. 31, 533.
Joseph, D. D. & Sturges, L. 1978 SIAM J. Appl. Math. 34 (1), 7.
Sokolov, W. J. 1971 Moderne Industrizentrifugen. Berlin: VEB Verlag Technik.
Spence, D. A. 1977 MRC Tech. Rep. 1863. Math. Res. Center, Univ. of Wisconsin.
Stewartson, K. 1957 J. Fluid Mech. 3, 17.
Sundström, O. & Bark, F. H. 1980 TRITA-HYD-80–3. Roy. Inst. Tech., Stockholm.