Modelling of gas entrainment from Taylor bubbles. Part B: A stationary bubble

Brauner, Neima; Ullmann, Amos

doi:10.1016/j.ijmultiphaseflow.2003.11.008

Cited by 15 publications

(4 citation statements)

References 10 publications

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“…Brauner and Ullmann [19] assume that the entrainment rate Φ en is dependent on the balance between the rate of turbulent kinetic energy production and the rate of bubble surface energy production and subsequently deduced that…”

Section: Air Pocket Entrainmentmentioning

confidence: 99%

“…By specifying the time when the liquid phase is pumped into the pipeline from the inlet as the simulation start time, the initial conditions at the moment of air pocket taking shape are given by en, the air pocket compression model in Section 2.2 is initiated to conduct the calculation. e five ordinary differential equations (ODE set) of (7), (10), (17), (18), and (19) are solved using the forward difference method to obtain P g , L g , h 1 , h 2 , u and thenH g by (15). e waterfront arriving at the summit of the upward sloping reach marks the end of the slug growth.…”

Section: Air Pocket Entrainmentmentioning

confidence: 99%

See 1 more Smart Citation

Mathematical Model of Air Pocket Evolution during Water Filling a Long-Slope Pipeline and Its Application to Air Removal Prediction

Chen

Cui

Chen³

et al. 2020

Mathematical Problems in Engineering

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During water filling a long-slope pipeline, air pocket is very likely to be entrapped at peak point. In order to track air movement and predict air removal conditions, a mathematical model of air pocket evolution, including its formation, compression, and entrainment, is proposed in this paper. The simulation results were compared with the engineering field data and the two are basically consistent. Furthermore, the two most important factors which play a great role in the removal of air pocket, i.e., the terrain category and the inlet flow rate, are analyzed in detail. It is concluded that the removal conditions reach three outcomes: air pocket compressed and partly removed, compressed and completely removed, and compressed without any removal. In this paper, the terrain which leads to the last outcome is called the “Dangerous Terrain.” And for the “Dangerous Terrain,” it is of great importance that the inlet flow rate should be strictly confined within a certain level. While for the other two categories of terrains, an increased flow rate is in any respect beneficial to the removal of air pocket.

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Section: Air Pocket Entrainmentmentioning

confidence: 99%

Section: Air Pocket Entrainmentmentioning

confidence: 99%

Mathematical Model of Air Pocket Evolution during Water Filling a Long-Slope Pipeline and Its Application to Air Removal Prediction

Chen

Cui

Chen³

et al. 2020

Mathematical Problems in Engineering

View full text Add to dashboard Cite

show abstract

“…Assuming gas bubbles are all spherical with a diameter of d bubble , the total surface free energy of the discrete gas bubbles (E surface ) in the liquid slug body was developed by Brauner and Ulmann (Brauner & Ullmann, 2004) as:…”

Section: Gas Bubbles In Slug Bodymentioning

confidence: 99%

Upstream Multiphase Flow Assurance Monitoring Using Acoustic Emission

Al-lababidi¹,

David²,

Addali³

2012

Acoustic Emission

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“…Adamson [32] stated that the surface free energy per unit interfacial area is equal to the interfacial surface tension between a liquid phase and a gas phase. Assuming that gas bubbles are all spherical with a diameter, d bubble , the total surface free energy of the discrete gas bubbles (E surface ) in the LSB was proposed by Brauner and Ullmann [33] as…”

Section: Gas Bubbles In the Slug Bodymentioning

confidence: 99%

Acoustic Emission and Gas-Phase Measurements in Two-Phase Flow

Addali

Al-lababidi

Yeung

et al. 2010

Proceedings of the Institution of Mechanical Engineers, Part E:

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The two-phase liquid/gas slug flow regime phenomenon can be encountered over a range of gas and liquid flowrates. Monitoring of slugs and measurement of their characteristics, such as the gas void fraction, are necessary to minimize the disruption of downstream process facilities. This article presents experimental results correlating acoustic emission measurements with gas void fraction in a two-phase water/air flow regime. It is concluded that the gas void fraction can be determined by the measurement of acoustic emission, which hitherto has not been investigated.

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Modelling of gas entrainment from Taylor bubbles. Part B: A stationary bubble

Cited by 15 publications

References 10 publications

Mathematical Model of Air Pocket Evolution during Water Filling a Long-Slope Pipeline and Its Application to Air Removal Prediction

Mathematical Model of Air Pocket Evolution during Water Filling a Long-Slope Pipeline and Its Application to Air Removal Prediction

Upstream Multiphase Flow Assurance Monitoring Using Acoustic Emission

Acoustic Emission and Gas-Phase Measurements in Two-Phase Flow

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