Abstract
The study of multiphase flow consisting of liquid and air bubbles has been attracting the interest of many researchers. Numerical methods for such a system are, however, facing difficulty in numerical accuracy and a heavy computational load. In this paper, we made corrections to the modified force-coupling method in our previous papers and applied it to the numerical studies of a single air bubble rising near a vertical wall and two interacting air bubbles rising in line in quiescent liquid. Corrections were made to the effective ranges of the force-coupling method. The calculation results showed that the lift force acting on an air bubble obtained by the experimental data was more accurately reproduced than those by our previous method. We accurately calculated the time evolution of the velocities of interacting two air bubbles rising in line obtained in the previous experiments and resolved the physical mechanism of the relative movement of two bubbles. We also found the present method is much quicker and needs much smaller memory capacity than other methods, such as the volume of fluid method.
Highlights
The study of multiphase flow of liquid and air bubbles has been attracting the interest of many researchers
Multiphase flow has been computationally studied by the volume of fluid method (VOF) [4] [5], the discrete element method (DEM) [6] [7], the immersed boundary method (IBM) [8], the moving particle semi-implicit method (MPS) [9], and the theoretical model equations taking into account of inertial and added-mass body acceleration forces [10] [11]
To show better accuracy of the proposed method applied to the bubble motion in quiescent liquid than our previous method [23], comparison was conducted between the results of the numerical calculation using the present method and the experimental data by Takemura et al [13] for the motion of a single air bubble rising near a vertical wall
Summary
Guan et al [23] [24] proposed the modification of OFCM in order to simulate the multiphase flow composed of liquid and air bubbles, where they called it the modified FCM (MFCM), and obtained fairly good agreement between the numerical results and the experimental data by Takemura et al [13] [14]. Inconsistency remained in the definition of the effective ranges for the force terms of MFCM in the previous papers [23] [24], where the values valid for flow containing solid particles were used for that containing air bubbles.
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