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...
Saved in:
Main Authors: | , , |
---|---|
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/ |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
id |
my.upm.eprints.34067 |
---|---|
record_format |
eprints |
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 |
13.18916 |