The dynamics of dense particles in vertical channel flows: gravity, lift and particle clusters

Abstract

The dynamics of dense finite-size particles in vertical channel flows of Newtonian and viscoelastic carrier fluids are examined using particle resolved simulations. Comparison to neutrally buoyant particles in the same configuration highlights the effect of settling. The particle volume fraction is $5\%$, and a gravity field acts counter to the flow direction. Despite a modest density ratio (${\rho }_r=1.15$), qualitative changes arise due to the relative velocity between the particle and fluid phases. While dense particles are homogeneously distributed in the core of the channel, the mean concentration profile peaks in the near-wall region due to a competition between shear- and rotation-induced lift forces. These forces act in the cross-stream directions, and are analyzed by evaluating conditional averages along individual particle trajectories. The correlation between the angular and translational velocities of the particles highlights the significance of the Magnus lift force in both the spanwise and wall-normal directions. The collective behaviour of the particles is also intriguing. Using a \Voro analysis, strong clustering is identified in dense particles near the wall, which is shown to alter their streamwise velocities. This clustering is attributed to the preferential transport of aggregated particles towards the wall. The practical implication of the non-uniformity of particle distribution is a significant increase in drag. When the carrier fluid is viscoelastic, the particle migration is enhanced which leads to larger stresses, thus negating the capacity of viscoelasticity to reduce turbulent drag.

arXiv comment26 pages, 19 figures

References in corpus (12)

• Elasto-inertial turbulence
• Interface-resolved DNS of vertical particulate channel flow in the turbulent regime
• Sedimentation of a dilute suspension of rigid spheres at intermediate Galileo numbers: the effect of clustering upon the particle motion
• Exceeding the asymptotic limit of polymer drag reduction
• DNS of horizontal open channel flow with finite-size, heavy particles at low solid volume fraction
• On the clustering of finite-size particles in turbulence
• Slipping motion of large neutrally-buoyant particles in turbulence
• DNS of vertical plane channel flow with finite-size particles: Voronoi analysis, acceleration statistics and particle-conditioned averaging
• Geometric decomposition of the conformation tensor in viscoelastic turbulence
• Columnar structure formation of a dilute suspension of settling spherical particles in a quiescent fluid
• Perturbative expansions of the conformation tensor in viscoelastic flows
• The mean conformation tensor in viscoelastic turbulence

Cited by in corpus (1)

• Results from Particle-Resolved Simulations