Numerical Simulation of the Evolution of a Gas Bubble in a Liquid Near a Wall

A numerical technique based on the application of the boundary element method is proposed for studying the axially symmetric dynamics of a bubble in a liquid near a solid wall. It is assumed that the liquid is ideally incompressible and its flow is potential. The process of expansion and contraction...

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Bibliographic Details
Published in:Mathematical models and computer simulations 2018, Vol.10 (1), p.89-98
Main Authors: Aganin, A. A., Kosolapova, L. A., Malakhov, V. G.
Format: Article
Language:English
Subjects:
Boundary element method
Bubbles
Computational fluid dynamics
Computer simulation
Fluid flow
Incompressible flow
Mathematical analysis
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Simulation and Modeling
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Summary:A numerical technique based on the application of the boundary element method is proposed for studying the axially symmetric dynamics of a bubble in a liquid near a solid wall. It is assumed that the liquid is ideally incompressible and its flow is potential. The process of expansion and contraction of a spheroidal bubble is considered, including the toroidal phase of its movement. The velocity and pressure fields in the liquid surrounding the bubble are evaluated along with the shape of the bubble surface and the velocity of its displacement. The numerical convergence of the algorithm with an increase in the number of boundary elements and a refinement of the time step is shown, and comparison with the experimental and numerical results of other authors is performed. The capabilities of the technique are illustrated by solving a problem of collapse of a spheroidal bubble in water. The bublle is located a short distance from the wall.
ISSN:2070-0482
2070-0490
DOI:10.1134/S2070048218010027