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The formation of a bubble from a submerged orifice

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Simmons, Jonathan A., Sprittles, James E. and Shikhmurzaeva, Yulii D. (2015) The formation of a bubble from a submerged orifice. European Journal of Mechanics B/Fluids, 53 . pp. 24-36. doi:10.1016/j.euromechflu.2015.01.003

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Official URL: http://dx.doi.org/10.1016/j.euromechflu.2015.01.00...

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Abstract

The formation of a single bubble from an orifice in a solid surface, submerged in an incompressible, viscous Newtonian liquid, is simulated. The finite element method is used to capture the multiscale physics associated with the problem and to track the evolution of the free surface explicitly. The results are compared to a recent experimental analysis and then used to obtain the global characteristics of the process, the formation time and volume of the bubble, for a range of orifice radii; Ohnesorge numbers, which combine the material parameters of the liquid; and volumetric gas flow rates. These benchmark calculations, for the parameter space of interest, are then utilised to validate a selection of scaling laws found in the literature for two regimes of bubble formation, the regimes of low and high gas flow rates.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
T Technology > TS Manufactures
Divisions: Other > Institute of Advanced Study
Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH): Finite element method, Bubbles
Journal or Publication Title: European Journal of Mechanics B/Fluids
Publisher: Elsevier Masson
ISSN: 0997-7546
Official Date: September 2015
Dates:
DateEvent
September 2015Published
23 March 2015Available
13 January 2015Accepted
25 February 2014Submitted
Volume: 53
Number of Pages: 13
Page Range: pp. 24-36
DOI: 10.1016/j.euromechflu.2015.01.003
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Open Access Version:
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