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Online ISSN 1552-4485; Print ISSN 0033-569X
A note on the potential vortex in a wall jet
Author:
Susann J. N. Shaw
Journal:
Quart. Appl. Math. 30 (1972), 351-356
DOI:
https://doi.org/10.1090/qam/99723
MathSciNet review:
QAM99723
Full-text PDF Free Access
Abstract | References | Additional Information
Abstract: Recently Gurevich [1] found an exact solution for the problem posed by the plane flow past a vortex of an inviscid, incompressible fluid which is bounded above by a free surface and below by a horizontal wall. This solution, which is found by using a conformal mapping of the flow region onto the interior of a semicircular region, is restricted to flows with at least one stagnation point.
- M. I. Gurevich, Vortex near a free surface, J. Appl. Math. Mech. 27 (1964), 1370–1376. MR 0163527, DOI https://doi.org/10.1016/0021-8928%2863%2990076-5
- B. Hopkinson, On Discontinuous Fluid Motions involving Sources and Vortices, Proc. Lond. Math. Soc. 29 (1897/98), 142–164. MR 1576436, DOI https://doi.org/10.1112/plms/s1-29.1.142
Additional Information
Article copyright:
© Copyright 1972
American Mathematical Society