Improvement of voidage prediction in liquid-solid fluidized beds by inclusion of the Froude number in effective drag relations

Kramer, O.J.I.; Padding, JT Johan; Vugt, W.H. van; Moel, P.J. de; Baars, E.T.; Boek, Edo S.; Hoek, Jan Peter van der

doi:10.1016/j.ijmultiphaseflow.2020.103261

Cited by 22 publications

(13 citation statements)

References 27 publications

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“…Experimental columns ( = 57 mm) were designed at Waternet for liquid-solid fluidisation (Kramer et al, 2020b); (Haynes, 2017) and terminal settling experiments and installed at three locations: in Waternet's Weesperkarspel drinking water pilot plant located in Amsterdam, the Netherlands, at the University of Applied Sciences Utrecht, the Netherlands, and at Queen Mary University of London, United Kingdom (Figure 1 and Figure 2). A schematic overview can be found in Figure 4.…”

Section: Experimental Set-up For Terminal Settling Experimentsmentioning

confidence: 99%

“…It is difficult to determine the terminal settling velocity of very small particles ( < 0.3 mm) such as garnet sand, owing to size and visibility issues when tracking it manually. Hindered settling is a completely different phenomenon (Richardson and Zaki, 1954); (di Felice, 1995); (Baldock et al, 2004); (Kramer et al, 2020b). Nevertheless, several attempts were made to estimate the settling velocity of small particles using the lowest possible amount multiple grains without adversely affecting the visual observation.…”

Section: Multiple Particle Experimentsmentioning

confidence: 99%

“…The particle density was also obtained through fluidisation experiments (Kramer et al, 2020a); (Kramer et al, 2020b). Based on the total particle mass and differential pressure sensor value of the experimental set-up, where the pressure drop in a homogenous fluidisation state is independent of the prevalent superficial fluid velocity, the particle density can be determined using Equation (5).…”

Section: Differential Pressurementioning

confidence: 99%

“…Wall effects are taken from the Discussion section in the Supplementary Material section in (Kramer et al, 2020b).…”

Section: Wall Effectsmentioning

confidence: 99%

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Supplementary material to "Can terminal settling velocity and drag of natural particles in water ever be predicted accurately?"

Kramer¹,

Moel²,

Raaghav³

et al. 2020

Preprint

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Brown-Lawler (2003) 5.6Standard drag curve with average values and prediction models Figure 41Standard drag curve (SDC) for 3,629 grains, using average values for 16 types of materials compared with popular prediction models for spherical and non-spherical particles. indicates that the measured sphericity is included in the model. Model prediction accuracy for data from the literatureData was obtained from the literature for the dimensionless drag coefficient versus the terminal Reynolds numbers (Table 14).

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Section: Experimental Set-up For Terminal Settling Experimentsmentioning

confidence: 99%

Section: Multiple Particle Experimentsmentioning

confidence: 99%

Section: Differential Pressurementioning

confidence: 99%

“…Wall effects are taken from the Discussion section in the Supplementary Material section in (Kramer et al, 2020b).…”

Section: Wall Effectsmentioning

confidence: 99%

See 2 more Smart Citations

Supplementary material to "Can terminal settling velocity and drag of natural particles in water ever be predicted accurately?"

Kramer¹,

Moel²,

Raaghav³

et al. 2020

Preprint

View full text Add to dashboard Cite

show abstract

“…For small and light particles, particle entrainment occurs easily in the fluidized state. Severe heterogeneous liquid-solid fluidization phenomena (i.e., Minerals 2022, 12, 289 2 of 15 particle clustering, bubbling, and velocity fluctuations) occur only under some extreme conditions [14][15][16][17][18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

An Experimental Study of Pressure Drop Characteristics and Flow Resistance Coefficient in a Fluidized Bed for Coal Particle Fluidization

et al. 2022

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Liquid–solid fluidized beds have a wide range of applications in metallurgical processing, mineral processing, extraction, and wastewater treatment. Great interest on their flow stability and heterogeneous fluidization behaviors has been aroused in research. In this study, various fluidization experiments were performed by adjusting the operating conditions of particle size, particle density, and liquid superficial velocity. For each case, the steady state of liquid–solid fluidization was obtained, and the bed expansion height and pressure drop characteristics were analyzed. The time evolution of pressure drop at different bed heights can truly reflect the liquid–solid heterogeneous fluidization behaviors that are determined by operating conditions. With the increase in superficial liquid velocity, three typical fluidization stages were observed. Accordingly, the flow resistance coefficient was obtained based on the experimental data of bed expansion height and pressure drop. The flow resistance coefficient experiences a decrease with the increase in the modified particle Reynolds number and densimetric Froude number.

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Hydraulic performance analysis of new versus commercial nozzle design for pressurised porous media filters

Graciano-Uribe,

Pujol,

Duran-Ros

et al. 2024

Irrig Sci

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Rapid water filtration with pressurised porous media filters is extensively applied in drip irrigation systems. In double-chamber filters, the underdrains are fixed to the base of the inner plate to sustain the media above while draining water. Here, a new underdrain design intended to reduce the filter energy consumption is presented. The main difference with commercial underdrain units corresponds to the distribution of the slots, being in a horizontal plate to uniformise the flow trajectories inside the porous media. Both commercial and new underdrain designs have been tested in laboratory in both filtration and backwashing modes with three media types, two media heights, and superficial velocities ranging from 20 to 120 m h−1. In filtration mode, results indicate that the new design reduces the filter pressure drop by 31% at 60 m h−1 in comparison with the commercial one. The exploration with an analytical model that correctly reproduces the filter pressure drop, reveals that its value at 60 m h−1 is only 15% higher than the ideal scenario (uniform flow throughout the porous media bed). In backwashing mode, the pressure drop in comparison with the commercial design is reduced by 65% at 80 m h−1, while having the same trend for the bed expansion, which is also predicted by a simple analytical expression. Thus, the new underdrain design produces a more homogeneous fluidised regime than the commercial one at low-moderate superficial velocities.

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Improvement of voidage prediction in liquid-solid fluidized beds by inclusion of the Froude number in effective drag relations

Cited by 22 publications

References 27 publications

Supplementary material to "Can terminal settling velocity and drag of natural particles in water ever be predicted accurately?"

Supplementary material to "Can terminal settling velocity and drag of natural particles in water ever be predicted accurately?"

An Experimental Study of Pressure Drop Characteristics and Flow Resistance Coefficient in a Fluidized Bed for Coal Particle Fluidization

Hydraulic performance analysis of new versus commercial nozzle design for pressurised porous media filters

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Improvement of voidage prediction in liquid-solid fluidized beds by inclusion of the Froude number in effective drag relations

Cited by 22 publications

References 27 publications

Supplementary material to &quot;Can terminal settling velocity and drag of natural particles in water ever be predicted accurately?&quot;

Supplementary material to &quot;Can terminal settling velocity and drag of natural particles in water ever be predicted accurately?&quot;

An Experimental Study of Pressure Drop Characteristics and Flow Resistance Coefficient in a Fluidized Bed for Coal Particle Fluidization

Hydraulic performance analysis of new versus commercial nozzle design for pressurised porous media filters

Contact Info

Product

Resources

About

Supplementary material to "Can terminal settling velocity and drag of natural particles in water ever be predicted accurately?"

Supplementary material to "Can terminal settling velocity and drag of natural particles in water ever be predicted accurately?"