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- W78078214 abstract "The problem of determining the free surface of a jet incident on a rigid wedge and the boundary of a cavity behind the wedge is considered. The single- and double-spiral-vortex models by Tulin are used to describe the flow at the rear part of the cavity. The location of the wedge in the jet and the sides lengths are arbitrary. This circumstance makes the flow domain doubly connected for the single-vortex model whilst it is simple connected for the double-vortex model. Both the models are solved in closed form by the method of conformal mappings. The maps are expressed through the solutions to certain Riemann-Hilbert problems. For the former model, this problem is formulated on a genus1 Riemann surface. The double-vortex model requires the solution to a standard RiemannHilbert problem on a plane. It is found that the drag and lift are practically the same whilst the jet surface, the cavity boundary at the rear part and the deflection angle of the jet at infinity are different. Also, the problem of determining the parameters for the conformal mapping in the single-vortex model has two solutions. It is shown that one of the solutions leads to a nonphysical shape of the cavity and needs to be discarded. The case of a wedge in a channel with a free surface is also analyzed." @default.
- W78078214 created "2016-06-24" @default.
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- W78078214 date "2009-08-01" @default.
- W78078214 modified "2023-09-27" @default.
- W78078214 title "Supercavitating motion of a wedge in a jet" @default.
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