Abstract
In this paper, we study the two-dimensional free surface cavity flows past a wedge in a channel. A re-entrant jet cavity termination model is introduced. Gravity is neglected, but surface tension is included in the dynamic boundary condition. The fluid is assumed to be inviscid and incompressible and the flow is assumed to be steady and irrotational. When the surface tension is negligible, we calculate an exact free streamline solution by applying conformal mapping techniques. We also compute solutions including the effects of surface tension by using the series truncation method. The results of calculations of the effect of the Weber number and the half angle of the wedge β \beta on the free surface profiles are presented. Good agreement between the analytic free streamline solution and the numerical solution provides a check on our numerical scheme.
Published Version
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