Gas holdup and pressure drop in three-phase horizontal flows of gas-liquid-fine solid particles system.

Hatate, Yasuo; Nomura, Hiroshi; Fujita, Takanori; Tajiri, Shuichi; Hidaka, Nobuyuki; Ikari, Atsushi

doi:10.1252/jcej.19.330

Cited by 13 publications

(14 citation statements)

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“…Again, the improved L–M correlation (LMKF) provides some of the best overall predictions. The adaptations of the L–M correlation implemented by Scott and Rao and Hatate et al provide reasonable predictions, especially at lower values of pressure gradient, which correspond to lower solids concentrations and lower slurry superficial velocities. The Orell model provides very accurate predictions; however, as mentioned previously, it is difficult to use and requires that the flow regime be known.…”

Section: Analysis and Discussionmentioning

confidence: 83%

“…However, their experiments were conducted using very relatively small particles ( d < 100 µm). Because of the empirical nature of their slurry (L/S) friction loss correlation, the method proposed by Hatate et al should not be expected to perform well for pipe diameters larger than those tested during that study; in other words, this empirical correlation is unlikely to provide good estimates for three‐phase pressure losses in pipes much larger than 25 mm in diameter.…”

Section: Previous Studiesmentioning

confidence: 89%

“…Hatate et al proposed an empirical correlation containing hydrodynamic parameters historically used for slurry (L/S) flow pressure loss calculations, that is it has a form similar to the D&C model. Their correlation, to estimate the pressure gradient of horizontal three‐phase flow (G/L/S) flow is:

\frac{{(d P / d z)}_{GLS} - {(d P / d z)}_{GL}}{C_{normals} {(d P / d z)}_{normalL}} = K ψ^{n}

where the terms on the left‐hand side of the equation have their usual meanings and ψ is defined by Equation .…”

Section: Previous Studiesmentioning

confidence: 99%

“…Additionally, nearly all of the experimental studies that have been done to date confirm the fact that, from the perspective of applying the modified L–M correlation, it makes sense to consider the gas as one phase and the slurry as the other. We thus argue that: The approach taken by Scott and Rao, Hatate et al and Gillies et al, wherein they assume the superficial slurry slow pressure drop can be used in place of the liquid‐phase pressure drop in the original LM correlation, is appropriate. The specific improvement that needs to be made is in the estimation of the slurry flow pressure gradient, (d P /d z ) LS . …”

Section: Improving the Modified L–m Correlationmentioning

confidence: 99%

“…First, the performance of the modified L–M correlation is compared with that of other modified two‐phase (G/L) flow models adapted for three‐phase (G/L/S) flows. Predictions of the improved L–M correlation (subsequently referred to as LMKF) are then compared to other three‐phase flow models, including the modified L–M correlations implemented by Scott and Rao, Hatate et al and Gillies et al and the more recent phenomenological models of Orell and Bello et al…”

Section: Improving the Modified L–m Correlationmentioning

confidence: 99%

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An improved method for applying the lockhart–martinelli correlation to three‐phase gas–liquid–solid horizontal pipeline flows

2013

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Three‐phase (G/L/S) horizontal pipe flow data collected from the literature are used to evaluate the performance of a number of correlations designed to predict the pipeline pressure gradient. In the present study, a number of popular two‐phase gas–liquid pressure loss correlations were modified for three‐phase flow predictions. The primary modification is to assume that the slurry (L/S) mixture behaves as a singlephase. The modified Dukler and the Beggs and Brill correlations did not provide accurate estimates of the three‐phase pressure gradients. When the classical Lockhart–Martinelli (L–M) correlation was used, along with a kinematic friction loss model to calculate the slurry (L/S) superficial flow pressure gradient, accurate predictions of the three‐phase (G/L/S) pressure gradient were obtained provided the slurry did not exhibit non‐Newtonian behaviour and that Coulombic (sliding bed) friction was negligible. Additional experiments should be conducted before the improved version of the L–M correlation is applied to commercial installations with pipe diameters greater than 100 mm.

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Section: Analysis and Discussionmentioning

confidence: 83%

Section: Previous Studiesmentioning

confidence: 89%

\frac{{(d P / d z)}_{GLS} - {(d P / d z)}_{GL}}{C_{normals} {(d P / d z)}_{normalL}} = K ψ^{n}

where the terms on the left‐hand side of the equation have their usual meanings and ψ is defined by Equation .…”

Section: Previous Studiesmentioning

confidence: 99%

Section: Improving the Modified L–m Correlationmentioning

confidence: 99%

Section: Improving the Modified L–m Correlationmentioning

confidence: 99%

See 3 more Smart Citations

An improved method for applying the lockhart–martinelli correlation to three‐phase gas–liquid–solid horizontal pipeline flows

2013

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Experimental Analysis of Gas–Liquid–Solid Three-Phase Flows in Horizontal Pipelines

Sassi

Stiriba

Lobera

et al. 2020

Flow Turbulence Combust

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The dynamics of three-phase flows involves phenomena of high complexity whose characterization is of great interest for different sectors of the worldwide industry. In order to move forward in the fundamental knowledge of the behavior of three-phase flows, new experimental data has been obtained in a facility specially designed for flow visualization and for measuring key parameters. These are (1) the flow regime, (2) the superficial velocities or rates of the individual phases; and (3) the frictional pressure loss. Flow visualization and pressure measurements are performed for two and three-phase flows in horizontal 30 mm inner diameter and 4.5 m long transparent acrylic pipes. A total of 134 flow conditions are analyzed and presented, including plug and slug flows in air-water two-phase flows and air-water-polypropylene (pellets) three-phase flows. For two-phase flows the transition from plug to slug flow agrees with the flow regime maps available in the literature. However, for three phase flows, a progressive displacement towards higher gas superficial velocities is found as the solid concentration is increased. The performance of a modified Lockhart-Martinelli correlation is tested for predicting frictional pressure gradient of three-phase flows with solid particles less dense than the liquid. Keywords Three-phase flows • Horizontal pipelines • Plug-to-slug flow transition • Frictional pressure drop • Flow visualization List of Symbols Variables D Internal diameter of pipeline (m) f Darcy-Weisbach friction factor g Acceleration of gravity (9.81 m/s 2) j Superficial velocity (m/s) Re Reynolds number (Re = v D/ν) X Lockhart-Martinelli parameter

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Gas hold-up in a bi-dimensional three-phase spouted bed

Anabtawi

Uysal

1992

The Chemical Engineering Journal

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Gas holdup and pressure drop in three-phase horizontal flows of gas-liquid-fine solid particles system.

Cited by 13 publications

References 0 publications

An improved method for applying the lockhart–martinelli correlation to three‐phase gas–liquid–solid horizontal pipeline flows

An improved method for applying the lockhart–martinelli correlation to three‐phase gas–liquid–solid horizontal pipeline flows

Experimental Analysis of Gas–Liquid–Solid Three-Phase Flows in Horizontal Pipelines

Gas hold-up in a bi-dimensional three-phase spouted bed

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