A note on the potential vortex in a wall jet

Shaw, Susann J. N.

doi:10.1090/qam/99723

Online ISSN 1552-4485; Print ISSN 0033-569X

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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
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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