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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

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Hele Shaw, H. S. 1898 Nature 58, 34.
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Sundström, O. & Bark, F. H. 1980 TRITA-HYD-80–3. Roy. Inst. Tech., Stockholm.