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Transient cavities near boundaries Part 2. Free surface

Calculations of the growth and collapse of transient vapour cavities near a free surface when buoyancy forces may be important are made using the boundary-integral method described in Part 1. Bubble shapes, particle paths, pressure contours and centroid motion are used to illustrate the calculations...

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Main Authors: Blake, J. R., M. Taib, Bachok, Doherty, G.
Format: Article
Language:English
Published: Cambridge University Press 1987
Online Access:http://psasir.upm.edu.my/id/eprint/34067/1/a72%20-%20transient%20cavities%20near%20boundries.pdf
http://psasir.upm.edu.my/id/eprint/34067/
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spelling my.upm.eprints.340672015-04-16T06:12:55Z http://psasir.upm.edu.my/id/eprint/34067/ Transient cavities near boundaries Part 2. Free surface Blake, J. R. M. Taib, Bachok Doherty, G. Calculations of the growth and collapse of transient vapour cavities near a free surface when buoyancy forces may be important are made using the boundary-integral method described in Part 1. Bubble shapes, particle paths, pressure contours and centroid motion are used to illustrate the calculations. In the absence of buoyancy forces the bubble migrates away from the free surface during the collapse phase, yielding a liquid jet directed away from the free surface. When the bubble is sufficiently close to the free surface, the nonlinear response of the free surface produces a high-speed jet (‘spike’) that moves in the opposite direction to the liquid jet and, in so doing, produces a stagnation point in the fluid between the bubble and the free surface. For sufficiently large bubbles, buoyancy forces may be dominant, so that the bubble migrates towards the free surface with the resulting liquid jet in the same direction. The Kelvin impulse provides a reasonable estimate of the physical parameter space that determines the migratory behaviour of the collapsing bubbles. Cambridge University Press 1987 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/34067/1/a72%20-%20transient%20cavities%20near%20boundries.pdf Blake, J. R. and M. Taib, Bachok and Doherty, G. (1987) Transient cavities near boundaries Part 2. Free surface. Journal of Fluid Mechanics, 181. pp. 197-212. ISSN 0022-1120
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description Calculations of the growth and collapse of transient vapour cavities near a free surface when buoyancy forces may be important are made using the boundary-integral method described in Part 1. Bubble shapes, particle paths, pressure contours and centroid motion are used to illustrate the calculations. In the absence of buoyancy forces the bubble migrates away from the free surface during the collapse phase, yielding a liquid jet directed away from the free surface. When the bubble is sufficiently close to the free surface, the nonlinear response of the free surface produces a high-speed jet (‘spike’) that moves in the opposite direction to the liquid jet and, in so doing, produces a stagnation point in the fluid between the bubble and the free surface. For sufficiently large bubbles, buoyancy forces may be dominant, so that the bubble migrates towards the free surface with the resulting liquid jet in the same direction. The Kelvin impulse provides a reasonable estimate of the physical parameter space that determines the migratory behaviour of the collapsing bubbles.
format Article
author Blake, J. R.
M. Taib, Bachok
Doherty, G.
spellingShingle Blake, J. R.
M. Taib, Bachok
Doherty, G.
Transient cavities near boundaries Part 2. Free surface
author_facet Blake, J. R.
M. Taib, Bachok
Doherty, G.
author_sort Blake, J. R.
title Transient cavities near boundaries Part 2. Free surface
title_short Transient cavities near boundaries Part 2. Free surface
title_full Transient cavities near boundaries Part 2. Free surface
title_fullStr Transient cavities near boundaries Part 2. Free surface
title_full_unstemmed Transient cavities near boundaries Part 2. Free surface
title_sort transient cavities near boundaries part 2. free surface
publisher Cambridge University Press
publishDate 1987
url http://psasir.upm.edu.my/id/eprint/34067/1/a72%20-%20transient%20cavities%20near%20boundries.pdf
http://psasir.upm.edu.my/id/eprint/34067/
_version_ 1643831048713273344
score 13.251813

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