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The Quarterly Journal of Mechanics and Applied Mathematics 1984 37(4):619-631; doi:10.1093/qjmam/37.4.619
© 1984 by Oxford University Press
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A CONSTANT-VORTICITY RIABOUCHINSKY FREE-STREAMLINE FLOW

D. I. PULLIN

( Department of Mechanical Engineering, University of Queensland St. Lucia, Queensland 4067, Australia )

The well-known Riabouchinsky body-free-streamline-image model is modified by replacing the stagnant fluid cavity by a region of constant-vorticity inviscid flow in which the streamlines form closed curves. Numerical solutions for the model are obtained for a class of flows with prescribed symmetries and given body shape. The possibility of similar extensions of general free-streamline flows is discussed briefly.


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