Effect of a Boundary Layer on Cavity Flow

Yuriy N. Savchenko, Georgiy Y. Savchenko and Yuriy A. Semenov
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Yuriy N. Savchenko: Institute of Hydromechanics of the National Academy of Sciences of Ukraine, 8/4 Zhelybova Street, 03680 Kiev, Ukraine
Georgiy Y. Savchenko: Institute of Hydromechanics of the National Academy of Sciences of Ukraine, 8/4 Zhelybova Street, 03680 Kiev, Ukraine
Yuriy A. Semenov: Institute of Hydromechanics of the National Academy of Sciences of Ukraine, 8/4 Zhelybova Street, 03680 Kiev, Ukraine

Mathematics, 2020, vol. 8, issue 6, 1-16

Abstract: Cavity flow past an obstacle in the presence of an inflow vorticity is considered. The proposed approach to the solution of the problem is based on replacing the continuous vorticity with its discrete form in which the vorticity is concentrated along vortex lines coinciding with the streamlines. The flow between the streamlines is vortex free. The problem is to determine the shape of the streamlines and cavity boundary. The pressure on the cavity boundary is constant and equal to the vapour pressure of the liquid. The pressure is continuous across the streamlines. The theory of complex variables is used to determine the flow in the following subregions coupled via their boundary conditions: a flow in channels with curved walls, a cavity flow in a jet and an infinite flow along a curved wall. The numerical approach is based on the method of successive approximations. The numerical procedure is verified considering a body with a sharp edge, for which the point of cavity detachment is fixed. For smooth bodies, the cavity detachment is determined based on Brillouin’s criterion. It is found that the inflow vorticity delays the cavity detachment and reduces the cavity length. The results obtained are compared with experimental data.

Keywords: vorticity; cavitation; free streamlines (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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