Comparison of the Results of 2D and 3D Numerical Simulations of the Rising Bubble in Stagnant Viscous Liquid

This study is dedicated to comparison of the results of two-dimensional (2D) and three-dimensional (3D) numerical modeling of dynamics of a single bubble rising in stagnant viscous liquid. The volume of fluid method is used to track the moving interface. This method makes it possible to take into ac...

Full description

Saved in:
Bibliographic Details
Published in:Lobachevskii journal of mathematics 2023-05, Vol.44 (5), p.1752-1757
Main Author: Morenko, I. V.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Continuity equation
Diameters
Empirical equations
Finite volume method
Geometry
Mathematical Logic and Foundations
Mathematical models
Mathematics
Mathematics and Statistics
Numerical models
Probability Theory and Stochastic Processes
Simulation
Three dimensional models
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This study is dedicated to comparison of the results of two-dimensional (2D) and three-dimensional (3D) numerical modeling of dynamics of a single bubble rising in stagnant viscous liquid. The volume of fluid method is used to track the moving interface. This method makes it possible to take into account all the forces acting on the interface in a natural way without using empirical data. The solution of the continuity equation, Navier–Stokes equation, and equation for determining the position of interface is based on the finite volume method. When carrying out numerical experiments, the bubble diameter at the initial time is fixed. It is shown that the shape of the bubbles in the vertical section of the computational domain is different in the case of 2D and 3D simulations. It has been established that the rising velocity of bubble in 3D simulation is greater than in 2D simulation.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080223050426