A computational study of the effect of initial bubble conditions on the motion of a gas bubble rising in viscous liquids

Ohta, Mitsuhiro; Imura, Tatsuya; Yoshida, Yutaka; Sussman, Mark

doi:10.1016/j.ijmultiphaseflow.2004.12.001

Cited by 81 publications

(43 citation statements)

References 30 publications

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“…These studies, and the computations of ref. 42, underline the importance of initial conditions in this problem. In addition to spherical cap bubbles, toroidal bubbles too of much larger size have been experimentally observed by ref.…”

Section: Article Nature Communications | Doi: 101038/ncomms7268mentioning

confidence: 97%

Dynamics of an initially spherical bubble rising in quiescent liquid

2015

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Section: Article Nature Communications | Doi: 101038/ncomms7268mentioning

confidence: 97%

Dynamics of an initially spherical bubble rising in quiescent liquid

2015

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“…While all these efforts have provided us with valuable insights into the dynamics of bubbles rising in viscous liquids, there are still many questions that remain unanswered due to the involvement of complex physics. The behavior of a bubble rising in a viscous liquid is not only affected by physical properties such as the density and the viscosity of both phases [6], but also by the surface tension on the interface between the two phases and by the bubble shape evolution [27,2]. The difficulties in describing and modeling the complex behavior of a rising bubble are to a large extent due to the strong nonlinear coupling of factors such as buoyancy, surface tension, bubble/liquid momentum inertia, viscosity, bubble shape evolution and rise history of the bubble.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of 3D bubbles rising in viscous liquids using a front tracking method

Hua

Stene

Lin

2008

Journal of Computational Physics

193

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The rise of bubbles in viscous liquids is not only a very common process in many industrial applications, but also an important fundamental problem in fluid physics. An and Bond numbers and with large density and viscosity ratios representative of the common air-water two-phase flow system. To facilitate the 3D front tracking simulation, mesh adaptation is implemented for both the front mesh on the bubble surface and the background mesh. On the latter mesh, the governing Navier-Stokes equations for incompressible, Newtonian flow are solved in a moving reference frame attached to the rising bubble. Specifically, the equations are solved using a finite volume scheme based on the Semi-Implicit Method for Pressure-Linked Equations (SIMPLE) algorithm, and it appears to be robust even for high Reynolds numbers and high density and viscosity ratios. The 3D bubble surface is tracked explicitly using an adaptive, unstructured triangular mesh. The numerical model is integrated with the software package PARAMESH, a block-based adaptive mesh refinement (AMR) tool developed for parallel computing. PARAMESH allows background mesh adaptation as well as the solution of the governing equations in parallel on a supercomputer. Further, Peskin distribution function is applied to interpolate the variable values between the front and * Corresponding author, E-mail: huajs@ihpc.a-star.edu.sg 2 the background meshes. Detailed sensitivity analysis about the numerical modeling algorithm has been performed. The current model has also been applied to simulate a number of cases of 3D gas bubbles rising in viscous liquids, e.g. air bubbles rising in water. Simulation results are compared with experimental observations both in aspect of terminal bubble shapes and terminal bubble velocities. In addition, we applied this model to simulate the interaction between two bubbles rising in a liquid, which illustrated the model's capability in predicting the interaction dynamics of rising bubbles.

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“…Most of previous validation works are performed under conditions of lower density ratio, the simulation results are validated against experimental observations about bubble shape under some typical flow regimes [3,4]. In this paper, the front tracking method is used to systematically investigate air bubble rising in water solutions under various flow regimes.…”

Section: Introductionmentioning

confidence: 99%