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The strength of vortex and swirling core flows

Published online by Cambridge University Press:  29 March 2006

B. R. Morton
B. R. Morton
Affiliation:
National Center for Atmospheric Research, Boulder, Colorado
Present address: Department of Mathematics, Monash University, Clayton, Victoria, Australia.
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Abstract

This note presents a discussion of the roles of axial momentum flux, flow force, angular momentum flux and circulation in determining the strength and hence characterizing the structure of such narrow rotating axisymmetric core flows as swirling jets, vortex jets, sink vortices and vortex wakes. The salient (though sometimes neglected) features of these core flows are that perturbation pressure plays an essential role both in the coupling of axial and azimuthal velocity fields and in the transmission of force along the core, and that flux of angular momentum is invariant only along cores with zero gross circulation. A number of existing solutions are brought into relationship by the discussion, including Long's similarity solution for draining vortices and Reynolds’ dimensional treatment of swirling wakes.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 38 , Issue 2 , 3 September 1969 , pp. 315 - 333
Copyright
© 1969 Cambridge University Press

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