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XII.—Green's Function for an Ellipse, and its Application to the Motion of a Point Vortex

Published online by Cambridge University Press:  15 September 2014

D. Meksyn
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Summary

Green's function for a plane outside an ellipse and for a plane between two confocal ellipses are evaluated.

The motion at a point vortex outside an ellipse is found.

Type
Proceedings
Information
Proceedings of the Royal Society of Edinburgh , Volume 58 , 1939 , pp. 176 - 180
Copyright
Copyright © Royal Society of Edinburgh 1939

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References

References to Literature

Barth, W., 1930. “Wirbelbahnen um Wände und Platten von unendlich kleiner Wändstärke,” Z.A.M.M., vol. x, p. 247.Google Scholar
Meksyn, D., 1937. “Solution of Oseen's Equations for an Inclined Elliptic Cylinder in a Viscous Fluid,” Proc. Roy. Soc., vol. clxii, A, p. 232.Google Scholar
Ramsey, A. S. 1935. Hydrodynamics, London.Google Scholar
Whittaker, E. T., and Watson, G. N., 1927. A Cause of Modern Analysis, Cambridge.Google Scholar