Cavity Detachment from a Wedge with Rounded Edges and the Surface Tension Effect

Cavity flow around a wedge with rounded edges was studied, taking into account the surface tension effect and the Brillouin–Villat criterion of cavity detachment. The liquid compressibility and viscosity were ignored. An analytical solution was obtained in parametric form by applying the integral ho...

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Autores principales:	Yuriy N. Savchenko, Georgiy Y. Savchenko, Yuriy A. Semenov
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	cavity detachment free streamlines Brillouin criterion Naval architecture. Shipbuilding. Marine engineering VM1-989 Oceanography GC1-1581
Acceso en línea:	https://doaj.org/article/c3595044139142bc83a47e32e4df9783
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spelling	oai:doaj.org-article:c3595044139142bc83a47e32e4df97832021-11-25T18:04:47ZCavity Detachment from a Wedge with Rounded Edges and the Surface Tension Effect10.3390/jmse91112532077-1312https://doaj.org/article/c3595044139142bc83a47e32e4df97832021-11-01T00:00:00Zhttps://www.mdpi.com/2077-1312/9/11/1253https://doaj.org/toc/2077-1312Cavity flow around a wedge with rounded edges was studied, taking into account the surface tension effect and the Brillouin–Villat criterion of cavity detachment. The liquid compressibility and viscosity were ignored. An analytical solution was obtained in parametric form by applying the integral hodograph method. This method gives the possibility of deriving analytical expressions for complex velocity and for potential, both defined in a parameter plane. An expression for the curvature of the cavity boundary was obtained analytically. By using the dynamic boundary condition on the cavity boundary, an integral equation in the velocity modulus was derived. The particular case of zero surface tension is a special case of the solution. The surface tension effect was computed over a wide range of the Weber number for various degrees of cavitation development. Numerical results are presented for the flow configuration, the drag force coefficient, and the position of cavity detachment. It was found that for each radius of the edges, there exists a critical Weber number, below which the iterative solution process fails to converge, so a steady flow solution cannot be computed. This critical Weber number increases as the radius of the edge decreases. As the edge radius tends to zero, the critical Weber number tends to infinity, or a steady cavity flow cannot be computed at any finite Weber number in the case of sharp wedge edges. This shows some limitations of the model based on the Brillouin–Villat criterion of cavity detachment.Yuriy N. SavchenkoGeorgiy Y. SavchenkoYuriy A. SemenovMDPI AGarticlecavity detachmentfree streamlinesBrillouin criterionNaval architecture. Shipbuilding. Marine engineeringVM1-989OceanographyGC1-1581ENJournal of Marine Science and Engineering, Vol 9, Iss 1253, p 1253 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	cavity detachment free streamlines Brillouin criterion Naval architecture. Shipbuilding. Marine engineering VM1-989 Oceanography GC1-1581
spellingShingle	cavity detachment free streamlines Brillouin criterion Naval architecture. Shipbuilding. Marine engineering VM1-989 Oceanography GC1-1581 Yuriy N. Savchenko Georgiy Y. Savchenko Yuriy A. Semenov Cavity Detachment from a Wedge with Rounded Edges and the Surface Tension Effect
description	Cavity flow around a wedge with rounded edges was studied, taking into account the surface tension effect and the Brillouin–Villat criterion of cavity detachment. The liquid compressibility and viscosity were ignored. An analytical solution was obtained in parametric form by applying the integral hodograph method. This method gives the possibility of deriving analytical expressions for complex velocity and for potential, both defined in a parameter plane. An expression for the curvature of the cavity boundary was obtained analytically. By using the dynamic boundary condition on the cavity boundary, an integral equation in the velocity modulus was derived. The particular case of zero surface tension is a special case of the solution. The surface tension effect was computed over a wide range of the Weber number for various degrees of cavitation development. Numerical results are presented for the flow configuration, the drag force coefficient, and the position of cavity detachment. It was found that for each radius of the edges, there exists a critical Weber number, below which the iterative solution process fails to converge, so a steady flow solution cannot be computed. This critical Weber number increases as the radius of the edge decreases. As the edge radius tends to zero, the critical Weber number tends to infinity, or a steady cavity flow cannot be computed at any finite Weber number in the case of sharp wedge edges. This shows some limitations of the model based on the Brillouin–Villat criterion of cavity detachment.
format	article
author	Yuriy N. Savchenko Georgiy Y. Savchenko Yuriy A. Semenov
author_facet	Yuriy N. Savchenko Georgiy Y. Savchenko Yuriy A. Semenov
author_sort	Yuriy N. Savchenko
title	Cavity Detachment from a Wedge with Rounded Edges and the Surface Tension Effect
title_short	Cavity Detachment from a Wedge with Rounded Edges and the Surface Tension Effect
title_full	Cavity Detachment from a Wedge with Rounded Edges and the Surface Tension Effect
title_fullStr	Cavity Detachment from a Wedge with Rounded Edges and the Surface Tension Effect
title_full_unstemmed	Cavity Detachment from a Wedge with Rounded Edges and the Surface Tension Effect
title_sort	cavity detachment from a wedge with rounded edges and the surface tension effect
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/c3595044139142bc83a47e32e4df9783
work_keys_str_mv	AT yuriynsavchenko cavitydetachmentfromawedgewithroundededgesandthesurfacetensioneffect AT georgiyysavchenko cavitydetachmentfromawedgewithroundededgesandthesurfacetensioneffect AT yuriyasemenov cavitydetachmentfromawedgewithroundededgesandthesurfacetensioneffect
_version_	1718411705681182720

Cavity Detachment from a Wedge with Rounded Edges and the Surface Tension Effect

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