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The structure of the Stewartson layers in a gas centrifuge. Part 1. Insulated end plates

Published online by Cambridge University Press:  12 April 2006

Takuya Matsuda  and
Kiyoshi Hashimoto
Takuya Matsuda
Affiliation:
Department of Aeronautical Engineering, Kyoto University, Kyoto, Japan Temporary address: Department of Applied Mathematics and Astronomy, University College, Cardiff, Wales.
Kiyoshi Hashimoto
Affiliation:
Department of Aeronautical Engineering, Kyoto University, Kyoto, Japan
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Abstract

The structure of the Stewartson E¼-layer (E being the Ekman number) in a compressible gas contained in a rapidly rotating cylinder is investigated for the case in which the end plates of the cylinder are thermally insulated. It was found by Matsuda & Hashimoto (1976) that the E¼-layer could not have a relevant structure in the ordinary configuration in which the E¼-layer meets the end plates through its Ekman extension of thickness E½. In this paper the E¼ × E¼ square region, in addition to the Ekman extension, is considered. The heat generation due to the radial fluid motions in the Ekman extension causes the temperature fields in the E¼ × E¼ square region through which heat is conducted to the side wall of the cylinder. Numerical calculations were made to obtain the temperature fields, which are shown in several figures.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 85 , Issue 3 , 13 April 1978 , pp. 433 - 442
Copyright
© 1978 Cambridge University Press

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References

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