A systematic experimental study and dimensionless analysis of bubble plume oscillations in rectangular bubble columns

Liu, Liu; Yan, Hongjie; Ziegenhein, Thomas; Hessenkemper, Hendrik; Li, Qing; Lucas, Dirk

doi:10.1016/j.cej.2019.04.158

Cited by 27 publications

(10 citation statements)

References 30 publications

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“…Both measurements were performed in the middle height region of the column and at a gas flow rate of

50 l / h

. Our three measurement points are plotted in Figure 6(A), where they are compared with experimental data from the previous literatures 1,4–6,10 . A clear tendency of POP to decrease with increasing

j_{g}

can be recognized for all data sets.…”

Section: Gas Phase Hydrodynamicsmentioning

confidence: 80%

“…The exact POPs, corresponding frequencies, and celerities are listed in Table 1.

f_{L}

denotes the plume oscillation frequency estimated via the correlations from Liu et al 10 Furthermore, a wavelength of about 1 m was determined for all gas flow rates.…”

Section: Methodsmentioning

confidence: 99%

“…However, the celerity can be related to the superficial gas velocity, the column width and the gravitational acceleration via the correlation proposed by Liu et al 10 and Equation (). In this case, the celerity of the void wave obviously becomes:

C = 0.339 \frac{λ j_{g}}{W} {Fr}_{p}^{- \frac{1}{2}}

The celerity can also be understood as the propagation velocity of the vortex cells that move from the free surface to the column bottom.…”

Section: Gas Phase Hydrodynamicsmentioning

confidence: 99%

“…Moreover, the transient state analysis was mainly limited to measuring plume oscillation frequencies. Recently, an overview of the key parameters concerning bubble plumes was given in Liu et al 10 The authors suggested that the superficial gas velocity,

j_{g}

, the column width,

W

, and the gravitational acceleration,

g

, were sufficient to express the oscillation frequency and proposed the following non dimensional expressions:

{St}_{p} = 0.339 {Fr}_{p}^{- \frac{1}{2}}

where the Strouhal number is defined as:

{St}_{p} = \frac{fW}{j_{g}}

and the Froude number as:

{Fr}_{p} = \frac{j_{g}}{\sqrt{italicgW}}

…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

The organized flow structure of an oscillating bubble plume

2021

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The detailed experimental investigation of an oscillating bubble plume created in a quasi‐two‐dimensional bubble column is reported for low void fraction and millimeter bubbles. The plume exhibits periodic oscillations and generates large‐scale coherent structures in the liquid. The local and transient hydrodynamics of this bubbly flow was investigated with particle‐image velocimetry (PIV) in the liquid phase and via optical fiber probe and the shadowgraph technique in the gas phase. First, long time averaging is performed (over a large number of plume oscillation periods). Thus, horizontal profiles of gas fraction and of horizontal and vertical components of mean and root mean square velocities in both phases can be examined. Then fluctuations of liquid velocities are studied, in terms of probability density function (indicating organized and random fluctuations), and in terms of phase‐averaged components. Finally, proper orthogonal decomposition is applied to PIV data to extract coherent structure contributions more efficiently.

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“…Both measurements were performed in the middle height region of the column and at a gas flow rate of

50 l / h

j_{g}

can be recognized for all data sets.…”

Section: Gas Phase Hydrodynamicsmentioning

confidence: 80%

“…The exact POPs, corresponding frequencies, and celerities are listed in Table 1.

f_{L}

denotes the plume oscillation frequency estimated via the correlations from Liu et al 10 Furthermore, a wavelength of about 1 m was determined for all gas flow rates.…”

Section: Methodsmentioning

confidence: 99%

C = 0.339 \frac{λ j_{g}}{W} {Fr}_{p}^{- \frac{1}{2}}

The celerity can also be understood as the propagation velocity of the vortex cells that move from the free surface to the column bottom.…”

Section: Gas Phase Hydrodynamicsmentioning

confidence: 99%

j_{g}

, the column width,

W

, and the gravitational acceleration,

g

, were sufficient to express the oscillation frequency and proposed the following non dimensional expressions:

{St}_{p} = 0.339 {Fr}_{p}^{- \frac{1}{2}}

where the Strouhal number is defined as:

{St}_{p} = \frac{fW}{j_{g}}

and the Froude number as:

{Fr}_{p} = \frac{j_{g}}{\sqrt{italicgW}}

…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

The organized flow structure of an oscillating bubble plume

2021

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show abstract

“…When the aspect ratio is greater than 2.0, the plume oscillation frequency remains almost unchanged, and as the aspect ratio decreases from 2.0 to 1.375, the plume oscillation frequency decreases significantly. Different CFD-PBM frameworks have been proposed to describe effectively simulate the plume oscillation period [25,26]. The polydispersed bubble size is used to effectively predict the plume oscillation period with the aspect ratio of 2.5 [27].…”

Section: Introductionmentioning

confidence: 99%

Investigation of Plume Offset Characteristics in Bubble Columns by Euler–Euler Simulation

et al. 2020

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Based on low-cost and easy to enlarge, the bubble column device has been widely concerned in chemical industry. This paper focuses on bubble plumes in laboratory-scale three-dimensional rectangular air-water columns. Static behavior has been investigated in many experiments and simulations, and our present investigations consider the dynamic behavior of bubble plume offset in three dimensions. The investigations are conducted with a set of closure models by the Euler–Euler approach, and subsequently, literature data for rectangular bubble columns are analyzed for comparison purposes. Moreover, the transient evolution characteristics of the bubble plume in the bubble column and the gas phase distribution in sections are introduced, and the offset characteristics and the oscillation period of the plume are analyzed. In addition, the distributions of the vector diagram of velocity and vortex intensity in the domain are given. The effects of different fluxes and column aspect ratios on bubble plumes are studied, and the offset and plume oscillation period (POP) characteristics of bubbles are examined. The investigations reveal quantitative correlations of operating conditions (gas volume flux) and aspect ratios that have not been reported so far, and the simulated and experimental POP results agree well. An interesting phenomenon is that POP does not occur under conditions of a high flux and aspect ratio, and the corresponding prediction values for the conditions with and without POP are given as well. The results reported in this paper may open up a new way for further study of the mass transfer of bubble plumes and development of chemical equipment.

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ACFD‐PBMcoupled model under entire turbulent spectrum for simulating a bubble column with highly viscous media

Zhang

Wang²,

Sayyar³

et al. 2021

AIChE Journal

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To account for the effect of liquid viscosity, the bubble breakup model considering turbulent eddy collision based on the inertial subrange turbulent spectrum was extended to the entire turbulent spectrum that included the energy‐containing, inertial, and energy‐dissipation subranges. The computational fluid dynamics‐population balance model coupled model was modified to include this extended bubble breakup model for simulations of a bubble column. The effect of turbulent energy spectrum on the bubble breakup and hydrodynamic behaviors was studied in a bubble column under different liquid viscosities. The results showed that when the liquid viscosity was <80 mPa s, the bubble breakup and hydrodynamics were almost independent on the turbulent spectrum. At liquid viscosity >80 mPa s, the bubble breakup rate and gas holdup were significantly under‐predicted when the inertial turbulent spectrum was used, and when using the entire turbulent spectrum the predictions were more consistent with experimental data.

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A systematic experimental study and dimensionless analysis of bubble plume oscillations in rectangular bubble columns

Cited by 27 publications

References 30 publications

The organized flow structure of an oscillating bubble plume

The organized flow structure of an oscillating bubble plume

Investigation of Plume Offset Characteristics in Bubble Columns by Euler–Euler Simulation

ACFD‐PBMcoupled model under entire turbulent spectrum for simulating a bubble column with highly viscous media

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