Simulation of single bubble rising in liquid using front tracking method

Abstract

Front tracking method is improved to simulate the rising and deforming of a bubble in quiescent viscous liquid under various flow regimes. The simulation results demonstrate that the current algorithm is more robust in modelling a multi-fluid system with wider ranges of the Reynolds number (1<Re<200) and the Bond number (1<Bo<200) under a high density ratio (ρ l /ρ b =1000) and a viscosity ratio (µ l /µ b =100). The new front tracking algorithm is also applied to investigate bubble rising and deforming behaviour in the various flow regimes of the "air bubble-water solution" system under effects of the Reynolds number and the Bond number, which have been explored experimentally in literature. The simulation results are compared with the experiments in aspects of bubble shape, terminal velocity and bubble wake flow pattern. Reasonable agreements are achieved in most flow regimes.

A projection scheme for incompressible multiphase flow using adaptive Eulerian grid: 3D validation

“…We further computed the terminal bubble shapes at various Reynolds and Bond numbers (Bo = gd 2 = ). The results are presented in Figure 6 and qualitatively match the terminal shapes of Hua et al [16] who used a two-dimensional axisymmetric front tracking/ÿnite di erence method. At Re = 200 and Bo = 20 (see Figure 6(d)) the bubble cannot reach a steady state and moves on a helical trajectory (see Figure 7).…”