Drag, lift and torque coefficients for ellipsoidal particles: From low to moderate particle Reynolds numbers

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

doi:10.1016/j.compfluid.2014.12.005

Cited by 94 publications

(44 citation statements)

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In section 4.1 the development of the local particle response time assumed an implicit hysteresis-that a particle could reconnect with the adjacent granular matrix by a simple reversal. But a nonspherical particle may undergo nonuniform hydrodynamic drag [Dioguardi et al, 2014;Hölzer and Sommerfeld, 2008;Ouchene et al, 2015] such that it can rotate, and re-establishing contact with the granular media may lead to a fragile connection. At large strains the shearing of nonspherical particles can lead to the irreversible formation of fluid melt pockets and so enhance unmixing and nonuniform particle distribution.…”

Section: Nonspherical Particlesmentioning

confidence: 99%

On the kinematics and dynamics of crystal‐rich systems

2017

View full text Add to dashboard Cite

Partially molten rocks, often called a mush, are examples of a hydrogranular mixture where the dynamics are controlled by both fluid and crystal‐crystal interactions. An obstacle to progress in understanding high‐temperature hydrogranular systems has been the lack of adequate levels of description of microphysical processes. Here we rationalize the hydrogranular kinematic and dynamic states by applying the concept of particle (crystal) force chains. We exemplify this with discrete‐element computational fluid dynamic simulations of the intrusion of a basaltic melt into an olivine‐basalt mush, where crystal‐scale force chains, crystal transport, and melt mixing are resolved. To describe the microscale kinematics of the system, we introduce the coordination number and the fabric tensors of particle contacts and forces. We quantify the changing contact and force fabric anisotropy, coaxiality, and the connectedness of the mush, under dynamic conditions. To describe the dynamics, particle and fluid characteristic response times are derived. These are used to define local and bulk Stokes numbers, and viscous and inertia numbers, which quantify the multiphase coupling under crystal‐rich conditions. We employ the Sommerfeld number, which describes the importance of crystal‐melt lubrication, with a viscous number to illustrate the dynamic regimes of crystal‐rich magmas. We show that the notion of mechanical “lock up” is not uniquely identified with a particular crystal volume fraction and that distinct mechanical behaviors can emerge simultaneously within a crystal‐rich system. We also posit that this framework describes magmatic fabrics and processes which “unlock” a crystal mush prior to eruption or mixing.

show abstract

Section: Nonspherical Particlesmentioning

confidence: 99%

On the kinematics and dynamics of crystal‐rich systems

2017

View full text Add to dashboard Cite

show abstract

“…Table 5. Parameter values used in the calculation of drag and lift coefficients for comparison with that from Ouchene et al (2015). Table S1.1.…”

Section: Appendix D Parameters Used In the Computation Of Drag And Lmentioning

confidence: 99%

Motion of a nano-spheroid in a cylindrical vessel flow: Brownian and hydrodynamic interactions

et al. 2017

View full text Add to dashboard Cite

We study the motion of a buoyant or a nearly neutrally buoyant nano-sized spheroid in a fluid filled tube without or with an imposed pressure gradient (weak Poiseuille flow). The fluctuating hydrodynamics approach and the deterministic method are both employed. We ensure that the fluctuation–dissipation relation and the principle of thermal equipartition of energy are both satisfied. The major focus is on the effect of the confining boundary. Results for the velocity and the angular velocity autocorrelations (VACF and AVACF), the diffusivities and the drag and the lift forces as functions of the shape, the aspect ratio, the inclination angle and the proximity to the wall are presented. For the parameters considered, the boundary modifies the VACF and AVACF such that three distinct regimes are discernible – an initial exponential decay followed by an algebraic decay culminating in a second exponential decay. The first is due to the thermal noise, the algebraic regime is due both to the thermal noise and the hydrodynamic correlations, while the second exponential decay shows the effect of momentum reflection from the confining wall. Our predictions display excellent comparison with published results for the algebraic regime (the only regime for which earlier results exist). We also discuss the role of the off-diagonal elements of the mobility and the diffusivity tensors that enable the quantifications of the degree of lift and margination of the nanocarrier. Our study covers a range of parameters that are of wide applicability in nanotechnology, microrheology and in targeted drug delivery.

show abstract

“…Besides the drag force, the lift force and torque on nonspherical particles were also reported in their work. Ouchene et al also computed the drag force, lift force, and torque for isolated ellipsoidal particles at Reynolds numbers ranging from 0.1 to 290 via PR‐DNSs. They reported that the most recent correlation proposed by Zastawny et al still had a mean deviation of 20% with their simulation results at high Reynolds numbers.…”

Section: Introductionmentioning

confidence: 99%

Effect of particle orientation on the drag force in random arrays of prolate ellipsoids in low‐Reynolds‐number flows

Jiang

Huang

et al. 2019

AIChE Journal

View full text Add to dashboard Cite

Direct numerical simulations are performed to study the effect of particle orientation on flows through fixed random arrays of prolate ellipsoids at low Reynolds numbers.The Hermans orientation factor and Beta distribution are introduced to quantify the mean orientation and orientation deviation of the particles. The simulation resultsshow that the effect of particle orientation is profound especially when the solid volume fraction and the aspect ratio are large. With the increase of Hermans orientation factors, the drag force decreases when the flow follows a reference direction defined by the average direction of all particles' semi-major axes, while increases when the flow is perpendicular to the reference direction. Comparisons show that the traditional drag force correlations for ellipsoidal particles significantly under-predict the drag force. Based on current simulation results, new drag relations are proposed for prolate ellipsoidal particles at arbitrary aspect ratios, Hermans orientation factors and solid volume fractions. K E Y W O R D S ellipsoids, fluidization, Hermans orientation factors, multiphase flow, the drag force

show abstract

Drag, lift and torque coefficients for ellipsoidal particles: From low to moderate particle Reynolds numbers

Cited by 94 publications

References 30 publications

On the kinematics and dynamics of crystal‐rich systems

On the kinematics and dynamics of crystal‐rich systems

Motion of a nano-spheroid in a cylindrical vessel flow: Brownian and hydrodynamic interactions

Effect of particle orientation on the drag force in random arrays of prolate ellipsoids in low‐Reynolds‐number flows

Contact Info

Product

Resources

About