Onsets of entrainment during dual discharge from a stratified two-phase region through horizontal branches with centrelines falling in an inclined plane: Part 1 – Analysis of liquid entrainment

Maier, Marcus; Soliman, H.M.; Sims, G.E.; Armstrong, K.F.

doi:10.1016/s0301-9322(00)00059-8

Cited by 19 publications

(5 citation statements)

References 8 publications

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“…In the annular flow regime, Ishii and Grolmes illustrated different entrainment mechanisms, which include roll wave, wave undercut, bubble burst, liquid impingement, and liquid bulge disintegration. A number of correlations have been proposed for the onset of droplet entrainment , and entrainment and deposition rates. − In general, no liquid entrainment is observed below a critical gas velocity, and the critical gas velocity continuously decreases as the liquid Reynolds number increases . The entrainment rate is proportional to the liquid Reynolds number and Weber number .…”

Section: Introductionmentioning

confidence: 99%

Liquid Entrainment in High-Pressure Bubble Columns

Lau

Cui

Fan

2005

Ind. Eng. Chem. Res.

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The liquid entrainment in bubble columns is experimentally studied under high-pressure conditions. Water and Paratherm NF heat-transfer fluid are used as the liquid phase, with nitrogen and air as the gas phase. Operating pressures and superficial gas velocities vary by up to 3.13 MPa and 33 cm/s, respectively. Parameters include the droplet size and droplet velocity, and local and total entrainment rates are examined. The study indicates that the entrainment rate increases with system pressures and superficial gas velocities. The maximum droplet velocity is found to be located between the center and wall regions at low pressures and low superficial gas velocities; the specific location shifts toward the center as the pressure and superficial gas velocity increase. The distributions of the droplet velocity and droplet size are narrower at locations further away from the entrainment surface. The droplet velocity of water at a given location and operating condition is found to be higher than that of paratherm, which has a higher viscosity and larger droplet size compared to water.

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Section: Introductionmentioning

confidence: 99%

Liquid Entrainment in High-Pressure Bubble Columns

Lau

Cui

Fan

2005

Ind. Eng. Chem. Res.

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“…Hassan 11 further broadened the experimental research conducted on this problem by investigating the onsets of gas and liquid entrainment, as well as two-phase mass flux and quality during single, dual and triple discharge through small branches from a large, stratified, two-phase region. More recently, Maier et al 12 performed experimental work on the onset of gas entrainment during dual discharges from a stratified two-phase region through two horizontal branches with centerlines falling in a common plane with variable inclinations from the horizontal plane, in order to determine the critical height and location for the onset to occur. The effects of plane inclination angle on the centerlines of the branches, the separating distance between branches and the branch flow rates on the location and critical height at the onset of gas entrainment were investigated.…”

Section: Introductionmentioning

confidence: 99%

“…The reported theoretical investigations for the present problem are essentially related to the prediction of the onset of liquid entrainment during either single or dual discharge from a large stratified region (e.g., Maier et al; 12 Soliman and Sims; 13 Hassan et al 14 ). For the theoretical prediction of the critical height at the onset of gas entrainment, the only study available in the literature, to the authors' best knowledge, was done by Ahmed et al 15 and is related to single discharge through a side branch of finite diameter from a stratified two-phase region.…”

Section: Introductionmentioning

confidence: 99%

The onset of gas pull-through during dual discharge from a stratified two-phase region: Theoretical analysis

2004

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A theoretical analysis for the onset of gas pull-through (entrainment) during discharge from a stratified two-phase region through two vertically aligned side branches has been developed in this paper. Initially, a simplified point-sink model was developed, which was then followed by the acquisition of a more accurate finite-branch model. The prediction of the critical height at the onset of gas entrainment was found to be a function of the corresponding Froude number of each branch (Fr 1 and Fr 2 ), as well as the vertical distance between the centerlines of the two branches ͑L / d͒. The predicted values of the critical height were found to be consistent with the corresponding experimental data for different values of Fr 1 , Fr 2 and L / d. From the basis of the present models, it was found that by increasing the flow through the lower branch, the critical height increases for all values of Fr 1 and L / d. Furthermore, by increasing the vertical distance between the two branches, the effect of the lower branch on the determination of the critical height was decreased.

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“…The previously reported theoretical investigations for the present problem are essentially related to the prediction of the onset of liquid entrainment, during either single or dual discharge from a large stratifi ed region (e.g., Soliman and Sims, 1992;Hassan et al, 1999;Maier et al, 2001). The objective of the present analysis is to investigate the phenom-enon of the onset of gas entrainment at moderate values of Fr (>1).…”

mentioning

confidence: 96%

“…Hassan (1995) further broadened the experimental research conducted on this problem, by investigating the onsets of gas and liquid entrainment, as well as two-phase mass fl ux and quality during single, dual, and triple discharge through small branches from a large, stratifi ed, twophase region. The previously reported theoretical investigations for the present problem are essentially related to the prediction of the onset of liquid entrainment, during either single or dual discharge from a large stratifi ed region (e.g., Soliman and Sims, 1992;Hassan et al, 1999;Maier et al, 2001). The objective of the present analysis is to investigate the phenomenon of the onset of gas entrainment at moderate values of Fr (>1).…”

mentioning

confidence: 96%

Theoretical Analysis of the Onset of Gas Entrainment from a Stratified Region through a Single Side‐Oriented Branch at Moderate Froude Numbers

2004

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A theoretical investigation has been conducted for the prediction of the critical height at the onset of gas entrainment during single discharge from a stratified, two‐phase region, through a branch installed on an inclined flat wall. The predicted critical height at the onset of gas entrainment was proven to be a function of Froude number (Fr) and density ratio of the interface fluids. Three different experimental data sets at wall inclination angles of zero, 45 and 90 degrees (i.e. side, inclined and bottom branches) were used for comparisons. A good concurrence was illustrated between the experimental and theoretical values.

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Onsets of entrainment during dual discharge from a stratified two-phase region through horizontal branches with centrelines falling in an inclined plane: Part 1 – Analysis of liquid entrainment

Cited by 19 publications

References 8 publications

Liquid Entrainment in High-Pressure Bubble Columns

Liquid Entrainment in High-Pressure Bubble Columns

The onset of gas pull-through during dual discharge from a stratified two-phase region: Theoretical analysis

Theoretical Analysis of the Onset of Gas Entrainment from a Stratified Region through a Single Side‐Oriented Branch at Moderate Froude Numbers

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