Abstract
This paper is concerned with patch cavitation, which typically occurs when a thin cavity lies close to the shoulder of a blunt body immersed in a streaming flow of incompressible liquid. This phenomenon has been observed in flow past a Schiebe headform by Ceccio & Brennen(1991).
Two different types of patch cavity are considered. If the headform has a region of boundary layer separation, the cavity will form there and, if not, it will form near to the minimum pressure point (MPP) predicted on the body in the absence of a cavity. For the second case and when the minimum pressure on the body predicted by potential theory is slightly below the vapour pressure of the liquid, we explore the possibility of a small aspect ratio cavity being located near to the minimum pressure point. A mixed boundary value problem for the cavity thickness can be formulated and solved exactly. The endpoints of the cavity, which are unknown a priori, are also uniquely determined by this analysis. It is found that not only is the cavity boundary tangential to the body at its leading edge, but it also has zero curvature there. Some conjectures are made concerning cavities induced by boundary layer separation.
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© 1994 Springer Science+Business Media Dordrecht
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Howison, S., Morgan, J., Ockendon, J. (1994). Patch Cavitation in Flow Past a Rigid Body. In: Blake, J.R., Boulton-Stone, J.M., Thomas, N.H. (eds) Bubble Dynamics and Interface Phenomena. Fluid Mechanics and Its Applications, vol 23. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0938-3_20
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DOI: https://doi.org/10.1007/978-94-011-0938-3_20
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4404-2
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