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Molecular gas dynamics analysis on condensation coefficient of vapour during gas–vapour bubble collapse

Published online by Cambridge University Press:  12 October 2018

Kazumichi Kobayashi Open the ORCID record for Kazumichi Kobayashi [Opens in a new window] ,
Takahiro Nagayama ,
Masao Watanabe Open the ORCID record for Masao Watanabe [Opens in a new window] ,
Hiroyuki Fujii  and
Misaki Kon
Kazumichi Kobayashi*
Affiliation:
Division of Mechanical and Space Engineering, Faculty of Engineering, Hokkaido University, Kita-ku, Kita 13 Nishi 8, Sapporo, Hokkaido 060-8628, Japan
Takahiro Nagayama
Affiliation:
Division of Mechanical and Space Engineering, Faculty of Engineering, Hokkaido University, Kita-ku, Kita 13 Nishi 8, Sapporo, Hokkaido 060-8628, Japan
Masao Watanabe
Affiliation:
Division of Mechanical and Space Engineering, Faculty of Engineering, Hokkaido University, Kita-ku, Kita 13 Nishi 8, Sapporo, Hokkaido 060-8628, Japan
Hiroyuki Fujii
Affiliation:
Division of Mechanical and Space Engineering, Faculty of Engineering, Hokkaido University, Kita-ku, Kita 13 Nishi 8, Sapporo, Hokkaido 060-8628, Japan
Misaki Kon
Affiliation:
Division of Mechanical and Space Engineering, Faculty of Engineering, Hokkaido University, Kita-ku, Kita 13 Nishi 8, Sapporo, Hokkaido 060-8628, Japan
*
†Email address for correspondence: kobakazu@eng.hokudai.ac.jp
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Abstract

This study investigates the influence of the condensation coefficient of vapour on the collapse of a bubble composed of condensable gas (vapour) and non-condensable gas (NC gas). We simulated vapour and NC gas flow inside a bubble based on the molecular gas dynamics analysis in order to replicate the phase change (viz., evaporation and condensation) precisely, by changing the initial number density ratio of the NC gas and vapour, the initial bubble radius and the value of the condensation coefficient. The results show that the motion of the bubble is unaffected by the value of the condensation coefficient when that value is larger than approximately 0.4. We also discuss NC gas drift at the bubble wall during the final stage of the bubble collapse and its influence on the condensation coefficient. We conclude that vapour molecules can behave as NC gas molecules when the bubble collapses, owing to the large concentration of NC gas molecules at the gas–liquid interface. That is, the condensation coefficient reaches almost zero when the bubble collapses violently.

JFM classification

Drops and Bubbles: Bubble dynamics Phase change: Condensation/evaporation Rarefied Gas Flow: Kinetic theory
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 856 , 10 December 2018 , pp. 1045 - 1063
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Copyright
© 2018 Cambridge University Press 

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