A new set of correlations of drag, lift and torque coefficients for non-spherical particles and large Reynolds numbers

Ouchene, Rafik; Khalij, Mohammed; Arcen, Boris; Tanière, Anne

doi:10.1016/j.powtec.2016.07.067

Cited by 141 publications

(126 citation statements)

References 17 publications

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“…We investigated the phenomenon in detail and found a plausible reason and also the limitations of the sinesquared behaviour. Our findings at high Re, in combination with observations of Ouchene et al (2016) for prolate spheroids upto aspect ratio 32, extends the validity of the drag law to both high aspect ratio prolate spheroids and high Re. This implies that in many situations, the mean drag coefficient at any incident angle C D,φ for a given Re can be obtained by just knowing two values: C D,φ=0 • and C D,φ=90 • .…”

Section: Introductionsupporting

confidence: 85%

“…Surprisingly, the investigated particles follow sinesquared interpolation very well for both steady and unsteady regimes, even for Re as high as 2000. This interesting phenomenon appears to be similar to the Stokes regime prediction (equation 1.1) as mentioned by Ouchene et al (2016). We investigated the phenomenon in detail and found a plausible reason and also the limitations of the sinesquared behaviour.…”

Section: Introductionsupporting

confidence: 82%

“…Hölzer & Sommerfeld (2009) and Zastawny et al (2012) investigated different non-spherical particles at different flow incident angles at different Re, albeit limiting mainly to the steady flow regime. Very recently, Ouchene et al (2016) proposed force correlations for prolate spheroids upto aspect ratio of 32, again limited to steady flows with Re 240. They report an interesting finding that the drag coefficient C D of the prolate spheroids follows a sine-squared interpolation between its extreme C D values for Re 240 for the reported aspect ratios.…”

Section: Introductionmentioning

confidence: 99%

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On the orientational dependence of drag experienced by spheroids

Sanjeevi

Padding

2017

J. Fluid Mech.

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The flow around different prolate (needle-like) and oblate (disc-like) spheroids is studied using a multi-relaxation-time lattice Boltzmann method. We compute the mean drag coefficient C D,φ at different incident angles φ for a wide range of Reynolds numbers (Re). We show that the sine-squared drag law2 φ holds up to large Reynolds numbers Re = 2000. Further, we explore the physical origin behind the sine-squared law, and reveal that surprisingly, this does not occur due to linearity of flow fields. Instead, it occurs due to an interesting pattern of pressure distribution contributing to the drag at higher Re for different incident angles. The present results demonstrate that it is possible to perform just two simulations at φ = 0• and φ = 90• for a given Re and obtain particle shape specific C D at arbitrary incident angles. However, the model has limited applicability to flatter oblate spheroids, which do not exhibit the sine-squared interpolation, even for Re = 100, due to stronger wakeinduced drag. Regarding lift coefficients, we find that the equivalent theoretical equation can provide a decent approximation, even at high Re, for prolate spheroids.

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Section: Introductionsupporting

confidence: 85%

Section: Introductionsupporting

confidence: 82%

Section: Introductionmentioning

confidence: 99%

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On the orientational dependence of drag experienced by spheroids

Sanjeevi

Padding

2017

J. Fluid Mech.

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“…It should be noted that the latter was assumed to be negligible in the present study. This is in line with the common assumption in the literature that only accounts for fluid flow-induced torque in case of nonspherical particles (e.g., the work of Ouchene et al [32]). …”

Section: Particlessupporting

confidence: 89%

Voidage correction algorithm for unresolved Euler–Lagrange simulations

2018

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The effect of grid coarsening on the predicted total drag force and heat exchange rate in dense gas-particle flows is investigated using Euler-Lagrange (EL) approach. We demonstrate that grid coarsening may reduce the predicted total drag force and exchange rate. Surprisingly, exchange coefficients predicted by the EL approach deviate more significantly from the exact value compared to results of Euler-Euler (EE)-based calculations. The voidage gradient is identified as the root cause of this peculiar behavior. Consequently, we propose a correction algorithm based on a sigmoidal function to predict the voidage experienced by individual particles. Our correction algorithm can significantly improve the prediction of exchange coefficients in EL models, which is tested for simulations involving Euler grid cell sizes between 2d p and 12d p . It is most relevant in simulations of dense polydisperse particle suspensions featuring steep voidage profiles. For these suspensions, classical approaches may result in an error of the total exchange rate of up to 30%.

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“…Zastawny et al 27 recently showed that the behaviour of inertial non-spherical particles may not be accurately predicted using the Stokesian models put forward by Jeffery 24 and Brenner 26 . Empirical and numerical correlations 18,[27][28][29][30] have long been used to extend the drag forces in the Stokesian regime (particle Reynolds number less than unity) to investigate those forces in higher Reynolds number flows for both spherical and non-spherical particles. For the motion of spherical particles, common practice is to use empirical expressions that relate the particle Reynolds number and the drag coefficient, such as the Schiller and Naumann drag expression.…”

mentioning

confidence: 99%

Large eddy simulation of inertial fiber deposition mechanisms in a vertical downward turbulent channel flow

Njobuenwu

Fairweather

2017

AIChE Journal

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The deposition pattern of elongated inertial fibres in a vertical downward turbulent channel flow is predicted using large eddy simulation and Lagrangian particle tracking. Three dominant fibres deposition mechanisms are observed, namely, diffusional deposition for small inertial fibres, free-flight deposition for large inertial fibres, and the interception mechanism for very elongated fibres. The fibres are found to exhibit orientation anisotropy at impact, which is strongly dependent on the fibre elongation. An increase in the fibre elongation increases the wall capture efficiency by the interception mechanism. The diffusional deposition mechanism is shown to dominate for fibres with large residence time,

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A new set of correlations of drag, lift and torque coefficients for non-spherical particles and large Reynolds numbers

Cited by 141 publications

References 17 publications

On the orientational dependence of drag experienced by spheroids

On the orientational dependence of drag experienced by spheroids

Voidage correction algorithm for unresolved Euler–Lagrange simulations

Large eddy simulation of inertial fiber deposition mechanisms in a vertical downward turbulent channel flow

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