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On the nature of conjugate vortex flows

Published online by Cambridge University Press:  28 March 2006

A. F. Sheer
A. F. Sheer
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge
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Abstract

Conjugate solutions of the equation of swirling cylindrical flow are considered in the case where the ‘primary’ flow has constant axial velocity. Numerical solutions are exhibited, which suggest a division of primary flows into four classes, and some conditions governing membership of these classes are derived. Finally, the case when the governing equation is slightly non-linear is considered.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 33 , Issue 4 , 23 September 1968 , pp. 625 - 638
Copyright
© 1968 Cambridge University Press

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References

Benjamin, T. B. 1962 Theory of the vortex breakdown phenomenon. J. Fluid Mech. 14, 593Google Scholar
Benjamin, T. B. 1965 Significance of the vortex breakdown phenomenon Trans. Am. Soc. Mech. Engrs, J. Basic Engng. 87, 518.Google Scholar
Benjamin, T. B. 1967 Some developments in the theory of vortex breakdown J. Fluid Mech. 28, 65.Google Scholar
Fraenkel, L. E. 1967 On Benjamin's theory of conjugate vortex flows. J. Fluid Mech. 28, 85Google Scholar