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Dynamics of expansion and collapse of explosive two-dimensional bubbles

Published online by Cambridge University Press:  22 November 2018

Jérôme Duplat Open the ORCID record for Jérôme Duplat [Opens in a new window]
Jérôme Duplat*
Affiliation:
Université Grenoble Alpes, INAC-SBT, Grenoble, F-38000, France
*
†Email address for correspondence: Jerome.Duplat@univ-grenoble-alpes.fr
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Abstract

An explosive gas mixture of hydrogen and oxygen is introduced in liquid water between two horizontal walls, forming a flat cylindrical bubble. Ignition and explosion of the bubble lead to a large depressurized cavity that finally implodes. We investigate the dynamics of the bubble collapse, which is qualitatively similar to the collapse of a spherical bubble. It exhibits a slightly weaker singularity than for spherical bubbles. We also analyse the explosion process. Starting with an initial radius $R_{0}$, the bubble reaches a maximal radius $R_{max}$ that depends on the gap thickness $h$ between the two walls: for a thinner gap, the condensation of water vapour is more efficient, the overpressure consecutive to the combustion is weaker, and its duration is shorter. This leads to a smaller maximal radius $R_{max}$. An indirect measurement of the transport coefficient of hot water vapour can be inferred from this observation.

JFM classification

Drops and Bubbles: Bubble dynamics Phase change: Condensation/evaporation Phase change: Phase change
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 859 , 25 January 2019 , pp. 677 - 690
Copyright
© 2018 Cambridge University Press 

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Duplat supplementary movie 1

2D Bubble explosion and collapse (see figure 2)

Download Duplat supplementary movie 1(Video)
Video 2.7 MB

Duplat supplementary movie 2

Flame propagation after ignition

Download Duplat supplementary movie 2(Video)
Video 195.9 KB

Duplat supplementary movie 3

Expansion of a pure stoichiometric bubble with gap height h=0.92 mm, and initial radius $R_0$ = 2.1 mm. At maximal expansion, $R_{max}=3.1 mm$

Download Duplat supplementary movie 3(Video)
Video 1.1 MB

Duplat supplementary movie 4

Expansion of a bubble containing 50\% of inert gas, with similar characteristics of the bubble shown in movie 3: same gap height h=0.92 mm, and nearly same initial radius $R_0$ = 2 mm. Although this bubble contains less chemical energy it reaches a much larger maximal expansion ($R_{max}=3.9 mm ). As the inert gas do not condense they contribute significantly to the bubble expansion.

Download Duplat supplementary movie 4(Video)
Video 1.2 MB