Abstract
We have examined the behavior of solid particles in particulate flows. The interaction of particles with each other and with the fluid is analyzed. Solid particles can move freely through a fixed computational mesh using an Eulerian approach. Fictitious boundary method (FBM) is used for treating the interaction between particles and the fluid. Hydrodynamic forces acting on the particle’s surface are calculated using an explicit volume integral approach. A collision model proposed by Glowinski, Singh, Joseph and coauthors is used to handle particle-wall and particle-particle interactions. The particulate flow is computed using multigrid finite element solver FEATFLOW. Numerical experiments are performed considering two particles falling and colliding and sedimentation of many particles while interacting with each other. Results for these experiments are presented and compared with the reference values. Effects of the particle-particle interaction on the motion of the particles and on the physical behavior of the fluid-particle system has been analyzed.
Highlights
Particulate flows have broad applications in industry such as fluidized suspensions, hydraulic fracturing of reservoirs, lubricated transport, paper pulp, slurry flow, food products etc
Motion of solid particles in fluids are somewhat complex and difficult to simulate especially from a numerical point of view because frequent deformation and generation of computational grid is required in many cases when the particle have complex boundaries which are moving with time
We have observed and examined two circular particles falling and colliding inside a channel with the effect of gravity and the hydrodynamic forces acting on the particles and sedimentation of a cluster of particles
Summary
Particulate flows have broad applications in industry such as fluidized suspensions, hydraulic fracturing of reservoirs, lubricated transport, paper pulp, slurry flow, food products etc These types of flows are common in many naturally occurring processes such as wind blown sand flow or dust particles in air, interaction between ocean current and offshore structures, lava flow and sedimentation in estuary etc. Due to the arbitrary motion of the mesh within the fluid, this approach is usually refferred to as Arbitrary Lagrangian Eulerian (ALE).[7,9,13,22,30] Maury,[13] Hu, Joseph and coauthors[8] have frequently used the ALE for particulate flows. Sedimentation of a cluster of particles has been simulated and behavior of the settling particles has been observed
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