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Direct numerical simulation of a bubble motion in a spherical tank under external forces and microgravity conditions

Published online by Cambridge University Press:  21 June 2018

A. Dalmon ,
M. Lepilliez ,
S. Tanguy Open the ORCID record for S. Tanguy [Opens in a new window] ,
A. Pedrono ,
B. Busset ,
H. Bavestrello  and
J. Mignot
A. Dalmon*
Affiliation:
Institut de Mécanique des Fluides de Toulouse, IMFT, Université de Toulouse, CNRS, 2 allée du Professeur Camille Soula, 31400 Toulouse, France Airbus Defence and Space, 31 Avenue des Cosmonautes, 31402 Toulouse CEDEX 4, France Centre National d’Études Spatiales, 18 Avenue Edouard Belin, 31401 Toulouse CEDEX 9, France
M. Lepilliez
Affiliation:
Airbus Defence and Space, 31 Avenue des Cosmonautes, 31402 Toulouse CEDEX 4, France
S. Tanguy
Affiliation:
Institut de Mécanique des Fluides de Toulouse, IMFT, Université de Toulouse, CNRS, 2 allée du Professeur Camille Soula, 31400 Toulouse, France
A. Pedrono
Affiliation:
Institut de Mécanique des Fluides de Toulouse, IMFT, Université de Toulouse, CNRS, 2 allée du Professeur Camille Soula, 31400 Toulouse, France
B. Busset
Affiliation:
Airbus Defence and Space, 31 Avenue des Cosmonautes, 31402 Toulouse CEDEX 4, France
H. Bavestrello
Affiliation:
Airbus Defence and Space, 31 Avenue des Cosmonautes, 31402 Toulouse CEDEX 4, France
J. Mignot
Affiliation:
Centre National d’Études Spatiales, 18 Avenue Edouard Belin, 31401 Toulouse CEDEX 9, France
*
†Email address for correspondence: [email protected]
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Abstract

We present, in this paper, numerical simulations of bubble sloshing in a spherical tank, resulting from a tank rotation around a fixed axis in microgravity conditions. This configuration is of great interest in space applications where sloshing can have harmful effects on the stability of satellites. Depending on the dimensionless numbers characterising this phenomenon, our study is focused on the motion and the deformation of a bubble, initially at rest, which is set in motion when the manoeuvre is starting until it reaches a constant rotation speed around the axis. It is shown in this article that, during the first stage of the manoeuvre, the motion of the bubble is essentially driven by the inertial force that depends on the angular acceleration. Next, when the angular velocity is increasing, the centrifugal force being dominant, the trajectory of the bubble is pushed towards the direction between the centre of the tank and the axis of rotation. Finally, when the angular velocity becomes constant, the bubble, reaching a quasi-steady position, is deformed and pressed against the solid boundary of the tank. A quantified description of these phenomena is proposed through a parametric study varying the essential dimensionless numbers, i.e. the Bond number based on the angular velocity, and another Bond number based on the angular acceleration. As the temporal evolution of the forces acting on the satellite wall is of utmost importance for designing satellites and manoeuvres, we also present an analysis characterising the latter. We also detail the first comparisons between the numerical simulations and the Fluidics experiment performed in the International Space Station (ISS) in microgravity conditions. Thanks to these comparisons, we can validate the simulations in configurations of interest.

JFM classification

Drops and Bubbles: Bubble dynamics Mathematical Foundations: Computational methods Drops and Bubbles: Drops and Bubbles
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 849 , 25 August 2018 , pp. 467 - 497
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Copyright
© 2018 Cambridge University Press 

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Dalmon et al. supplementary movie

Example of bubble motion during the tank rotation

Download Dalmon et al. supplementary movie(Video)
Video 8.3 MB