Modelling the critical velocity for heterogeneous flow of mineral slurries

Pinto, T.C. Souza; Moraes, Deovaldo de; Slatter, Paul; Filho, Laurindo de Salles Leal

doi:10.1016/j.ijmultiphaseflow.2014.05.013

Cited by 30 publications

(18 citation statements)

References 8 publications

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“…However these models show an increasing F L value with the pipe diameter, which contradicts the numerous experimental data, showing a slight decrease. The models of Turian et al (1987) , Wasp et al (1970), Slatter (2004) andSouza Pinto et al (2014) show an increasing F L value with increasing particle diameter and a slight decrease with the pipe diameter. Jufin and Lopatin (1966) show an increase with the particle diameter and a slight decrease with the pipe diameter (power -1/6).…”

Section: Experimental Datamentioning

confidence: 93%

“…Because there are numerous data and equations for the critical velocity (LSDV, LDV or MHGV), some equations based on physics, but most based on curve fitting, a selection is made of the equations and methods from literature. The literature analysed are from Wilson (1942), Durand and Condolios (1952), Newitt et al (1955), Jufin and Lopatin (1966), Zandi and Govatos (1967), Charles (1970), Graf et al (1970), Wilson and Judge (1976), Wasp et al (1977), Wilson and Judge (1977), Thomas (1979), Oroskar and Turian (1980), Parzonka et al (1981), Turian et al (1987), Davies (1987), Schiller and Herbich (1991), Gogus and Kokpinar (1993), Gillies (1993), Berg (1998), Kokpinar and Gogus (2001), Shook et al (2002), Wasp and Slatter (2004), Sanders et al (2004), Lahiri (2009), Poloski et al (2010) and Souza Pinto et al (2014.…”

Section: Introductionmentioning

confidence: 99%

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The Limit Deposit Velocity model, a new approach

Miedema

Ramsdell

2015

Journal of Hydrology and Hydromechanics

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Abstract:In slurry transport of settling slurries in Newtonian fluids, it is often stated that one should apply a line speed above a critical velocity, because blow this critical velocity there is the danger of plugging the line. There are many definitions and names for this critical velocity. It is referred to as the velocity where a bed starts sliding or the velocity above which there is no stationary bed or sliding bed. Others use the velocity where the hydraulic gradient is at a minimum, because of the minimum energy consumption. Most models from literature are one term one equation models, based on the idea that the critical velocity can be explained that way.Here the following definition is used: The critical velocity is the line speed below which there may be either a stationary bed or a sliding bed, depending on the particle diameter and the pipe diameter, but above which no bed (stationary or sliding) exists, the Limit Deposit Velocity (LDV). The way of determining the LDV depends on the particle size, where 5 regions are distinguished.These regions for sand and gravel are roughly; very small particles up to 0.014-0.040 mm (d < δ v ), small particles from δ v -0.2 mm, medium particles in a transition region from 0.2-2.00 mm, large particles > 2 mm and very large particles > 0.015·D p . The lower limit of the LDV is the transition between a sliding bed and heterogeneous transport. The new model is partly based on physics and correlates well with experiments from literature.

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Section: Experimental Datamentioning

confidence: 93%

Section: Introductionmentioning

confidence: 99%

The Limit Deposit Velocity model, a new approach

Miedema

Ramsdell

2015

Journal of Hydrology and Hydromechanics

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“…The granulometry of the particles varied from 249 to 297 micrometers. The geometry was based on literature data from (Souza Pinto et al, 2014). In this reference, pumping experiments were conducted, measuring the pressure drop in 1 m horizontal pipe.…”

Section: Methodsmentioning

confidence: 99%

“…The authors determined the curve of pressure gradient versus bulk flow velocity. The solution domain is, therefore, based on the geometry of the experiments conducted by (Souza Pinto et al, 2014). The solution domain represents part of the experimental setup, focusing on the region of the tube.…”

Section: Methodsmentioning

confidence: 99%

“…This paper presents the assessment of the critical deposition velocity in slurries containing particles of apatite and hematite. Experimental results from the literature (Souza Pinto et al, 2014) were used to validate numerical findings. For two recirculating pipeline test rigs, Souza Pinto et al (2014) measured the pressure drop in a section 1 m long in a horizontal pipeline, for different pump speeds.…”

Section: Introductionmentioning

confidence: 99%

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CFD-DEM Simulation to Predict the Critical Velocity of Slurry Flows

Januário

Maia

2020

JAFM

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The hydraulic transport of solids has been adopted for many years. However, deposition of the solid particles in the pipe can cause equipment failure, pipeline erosion, and excessive pressure drop, resulting in financial and environmental problems. The critical velocity, also known as critical deposition velocity, is the limit of particle deposition when a moving bed of particles starts to form on the bottom of the pipe. The determination of the critical deposition velocity is an essential step in slurry pipeline`s design and operation. This paper assesses the influence of the velocity in the particle deposition of slurries containing coarse particles of apatite and hematite industrial concentrates and quartz. We used CFD to solve Navier-Stokes for the fluid phase and DEM to solve Newton`s equations governing the granular particles. CFD and the DEM modules adopted OpenFOAM and LIGGGHTS. Numerical results were compared with experimental data from the literature.

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