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The stability of a viscous fluid between rotating cylinders with an axial flow

Published online by Cambridge University Press:  28 March 2006

R. C. Diprima
R. C. Diprima
Affiliation:
Department of Mathematics, Rensselaer Polytechnic Institute, Troy, New York
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Abstract

The stability of a viscous fluid between two concentric rotating cylinders with an axial flow is investigated. It is assumed that the cylinders are rotating in the same direction and that the spacing between the cylinders is small. The critical Taylor number is computed for small Reynolds number associated with the axial flow. It is found that the critical Taylor number increases with increasing Reynolds number.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 9 , Issue 4 , December 1960 , pp. 621 - 631
Copyright
© 1960 Cambridge University Press

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References

Appel, C. 1959 Tech. Assoc. Pulp & Paper Industry, 42, 767–73.
Chandrasekhar, S. 1954 Mathematika, 1, 5–13.
Chandrasekhar, S. 1958 Proc. Roy. Soc. A, 246, 301–11.
Chandrasekhar, S. 1960 Proc. Nat. Acad. Sci. 46, 141–3.
Cornish, R. J. 1933 Proc. Roy. Soc. A, 140, 227–40.
DiPrima, R. C. 1960 Quart. Appl. Math. (in the Press).
Donnelly, R. & Fultz, D. 1960 Proc. Nat. Acad. Sci. 46, 1150–4.
Fage, A. 1938 Proc. Roy. Soc. A, 165, 501–29.
Harris, D. & Reid, W. H. 1958 Astrophys. J. 3, 429–53.
Goldstein, S. 1937 Proc. Camb. Phil. Soc. 33, 41–61.
Kaye, J. & Elgar, E. C. 1957 Trans. Amer. Soc. Mech. Eng. 80, 753–65.
Reid, W. & Harris, D. 1958 Astrophys. J. Supp. 3, 429–52.