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Note on the position of ring singularities in an axisymmetric potential field

Published online by Cambridge University Press:  28 March 2006

N. T. Bloomer
N. T. Bloomer
Affiliation:
Engineering Department, University of Nottingham
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Abstract

In this work a method is given for finding the position of ring singularities in a three-dimensional potential field having axial symmetry, by consideration of the very much easier case of a similar two-dimensional potential function. It is seen that the traces of these ring singularities on a plane through the axis of symmetry occur at points corresponding to those of the singularities existing in the two-dimensional plane when the axial velocity potential functions are the same. It is thought that this might be of value in the plotting of stream surfaces.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 3 , Issue 2 , November 1957 , pp. 217 - 220
Copyright
© 1957 Cambridge University Press

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References

Szczeniowski, B. 1943 On the contraction cone for a wind tunnel, J. Aero. Sci. 10.Google Scholar
Whittaker, E. T. & Watson, G. N. 1927 Modern Analysis, 4th Ed. Cambridge University Press.