Zannetti, Luca and Chernyshenko, Sergei I.
Vortex pair and Chaplygin cusps
European Journal of Mechanics - B/Fluids, 24, (3), . (doi:10.1016/j.euromechflu.2004.09.005).
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An example is given of a flow past two bodies with two trapped point vortices so that the pressure is constant over the entire body surface and the flow has no stagnation points. The flow is constructed from the flow past a pair of counter-rotating vortices by replacing the stagnation points with stagnation regions of constant pressure following the Chaplygin concept. The stagnation regions are then interpreted as bodies. The demonstration of the possibility of a flow without adverse pressure gradient on solid walls and without stagnation points adjacent to closed-streamline regions is important for the high-Reynolds-number asymptotic theory of flows with trapped vortices.
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