The rise of a gas bubble in a viscous liquid

Moore, D. W.

doi:10.1017/s0022112059000520

Cited by 215 publications

(119 citation statements)

References 4 publications

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“…(Celata et al, 2004;Celata et al, 2006;Celata et al, 2007)). Some authors have used the Eötvös number, Eo (Okawa et al, 2003;Wellek et al, 1966), others adopted the Weber number, We (Moore, 1959;Taylor and Acrivos, 1964;Wellek et al, 1966), while Tadaki and Maeda (Tadaki and Maeda, 1961) used the Tadaki number (Clift et al, 1978). Other authors used more than one dimensional number, i.e.…”

Section: Influence Of Viscosity On the Bubble Size Distributions And mentioning

confidence: 99%

The dual effect of viscosity on bubble column hydrodynamics

Besagni

Inzoli

Guido

et al. 2017

Chemical Engineering Science

110

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A B S T R A C TSome authors, in the last decades, have observed the dual effect of viscosity on gas holdup and flow regime transition in small-diameter and small-scale bubble columns. This work concerns the experimental investigation of the dual effect of viscosity on gas holdup and flow regime transition as well as bubble size distributions in a large-diameter and large-scale bubble column. The bubble column is 5.3 m in height, has an inner diameter of 0.24 m, and can be operated with gas superficial velocities in the range of 0.004-0.20 m/s. Air was used as the dispersed phase, and various water-monoethylene glycol solutions were employed as the liquid phase. The water-monoethylene glycol solutions that were tested correspond to a viscosity between 0.9 mPa s and 7.97 mPa s, a density between 997.086 kg/m 3 and 1094.801 kg/m 3 , a surface tension between 0.0715 N/m and 0.0502 N/m, and log 10 (Mo) between −10.77 and −6.55 (where Mo is the Morton number). Gas holdup measurements were used to investigate the global fluid dynamics and the flow regime transition between the homogeneous flow regime and the transition flow regime. An image analysis method was used to investigate the bubble size distributions and shapes for different gas superficial velocities, for different solutions of watermonoethylene glycol. In addition, based on the experimental data from the image analysis, a correlation between the bubble equivalent diameter and the bubble aspect ratio was proposed. The dual effect of viscosity, previously verified in smaller bubble columns, was confirmed not only with respect to the gas holdup and flow regime transition, but also for the bubble size distributions. Low viscosities stabilize the homogeneous flow regime and increase the gas holdup, and are characterized by a larger number of small bubbles. Conversely, higher viscosities destabilize the homogeneous flow regime and decrease the gas holdup, and the bubble size distribution moves toward large bubbles. The experimental results suggest that the stabilization/destabilization of the homogeneous regime is related to the changes in the bubble size distributions and a simple approach, based on the lift force, was proposed to explain this relationship. Finally, the experimental results were compared to the dual effect of organic compounds and inorganic compounds: future studies should propose a comprehensive theory to explain all the dual effects observed.

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Section: Influence Of Viscosity On the Bubble Size Distributions And mentioning

confidence: 99%

The dual effect of viscosity on bubble column hydrodynamics

Besagni

Inzoli

Guido

et al. 2017

Chemical Engineering Science

110

View full text Add to dashboard Cite

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“…The understanding of the flow dynamics of this system is of great importance in engineering applications and to the fundamental understanding of multiphase flow physics. Rising bubbles have been studied theoretically [8,25], experimentally [1] as well as computationally through numerical modeling [37]. 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.…”

Section: Introductionmentioning

confidence: 99%

“…In addition, the physics of the behavior of bubbles is of a three-dimensional nature. Hence, most of the past theoretical works were done with a lot of assumptions, and the results are only valid for certain flow regimes [25,45]. The experimental works were limited by the available technologies to monitor, probe and sense the moving bubbles without interfering with their physics [1,40,46].…”

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

191

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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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“…According to Bhaga and Weber [17], since M for both of the two-phase mixtures employed in this work are lower than 4 10 -3 , the bubble behaviour is expected to be a function of both Morton and Reynolds numbers. It can be observe from eqn (1) that variations in M are mainly due to the factor, µ 4 , since ρ and σ do not vary much from water to silicone oil. Water is usually considered as a low M number fluid.…”

Section: Resultsmentioning

confidence: 99%

“…However due to disturbances induced by the bubbles in the liquid, it is evident that the Taylor bubbles in a train of bubbles will behave different from a single bubble in static liquid. In general, the theoretical approach has been limited to the low Reynolds number regime and several studies have been published over the years, for instance Moore [4] carried out a study of a gas bubble in a viscous liquid and more recently Tomiyama et al [5] studied the terminal velocity of a single bubble rising through an infinite stagnant liquid in a surface tension force dominant regime theoretically and experimentally. In many cases investigators have followed the experimental approach in order to tackle the behaviour of Taylor bubbles in more attention demanding problems.…”

Section: Introductionmentioning

confidence: 99%

Effects of physical properties on the behaviour of Taylor bubbles

Hernández-Pérez

Abdulkareem

Azzopardi

2009

Computational Methods in Multiphase Flow V

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Gas-liquid flow in vertical pipes, which is important in oil/gas wells and the risers from sea bed completions to FPSOs, was investigated to determine the effects of physical properties on the characteristics of the mixture such as void fraction, structure frequency and velocity as well as the shape of 3D structures. These are difficult to visualise using conventional optical techniques because even if the pipe wall is transparent, near-wall bubbles would mask the flow deep in the pipe. Therefore, more sophisticated methods are required. Two advanced wire mesh sensors (WMS) were used and the two-phase mixtures employed were air-water and air-silicone oil.The effect of fluid properties is accounted for in terms of the Morton number. It was found that the flow pattern is affected by the fluid properties as the results revealed that contrary to what is commonly assumed when modelling pipe flow, the flow is not symmetric, with a lot of distortion, which is even higher for the air-silicone oil mixture.

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The rise of a gas bubble in a viscous liquid

Cited by 215 publications

References 4 publications

The dual effect of viscosity on bubble column hydrodynamics

The dual effect of viscosity on bubble column hydrodynamics

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

Effects of physical properties on the behaviour of Taylor bubbles

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