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The Quarterly Journal of Mechanics and Applied Mathematics 1981 34(4):465-473; doi:10.1093/qjmam/34.4.465
© 1981 by Oxford University Press
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THE INFLUENCE OF CAPILLARITY ON CAVITATING FLOW PAST A FLAT PLATE

J.-M. VANDEN-BROECK

( Department of Mathematics, Stanford University Stanford, Califorina 94305 )

The problem of cavitating flow past a flat plate is considered. Surface tension is included in the dynamic boundary condition. Perturbation solutions for both small and large values of the Weber number are derived. These analytical calculations show that the flow does not leave the plate tangentially. At the separation points both velocity and curvature are infinite. In addition a numerical scheme based on an integro-differential equation formulation is derived to solve the problem in the fully nonlinear case. The shape of the free surface is computed for various values of the Weber number. As a check on the numerical results they are shown to agree with the perturbation solution in the limit as the Weber number tends to infinity.


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