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Research Papers: Multiphase Flows

A Three-Dimensional Resolved Discrete Particle Method for Studying Particle-Wall Collision in a Viscous Fluid

[+] Author and Article Information
Zhi-Gang Feng1

Department of Mechanical Engineering, University of Texas at San Antonio, One UTSA Circle, San Antonio, TX 78249zhigang.feng@utsa.edu

Efstathios E. Michaelides

Department of Mechanical Engineering, University of Texas at San Antonio, One UTSA Circle, San Antonio, TX 78249

Shaolin Mao

T-5, Theoretical Division, Los Alamos National Laboratory, Mail Stop B284, Los Alamos, NM 87545

1

Corresponding author.

J. Fluids Eng 132(9), 091302 (Sep 23, 2010) (7 pages) doi:10.1115/1.4002432 History: Received October 30, 2009; Revised August 23, 2010; Published September 23, 2010; Online September 23, 2010

Particle collisions with the walls are very important in understanding the fluid-particle behavior near the walls and determining the boundary conditions of the particulate phases in two-fluid models. In this paper, we examine the velocity characteristics of several types of particles near solid walls by applying a resolved discrete particle method (RDPM), which also uses the immersed boundary approach to model the solid particles. We assume that the particles are spherical with an initial velocity that is prescribed. The particles are allowed to traverse part of the viscous fluid until they collide with the solid wall. The collision force on the particle is modeled by a soft-sphere collision scheme with a linear spring-dashpot system. The hydrodynamic force on the particle is solved directly from the RDPM. By following the trajectories of several particles, we investigate the effect of the collision model parameters to the dynamics of particle close to the wall. We report here the rebound velocity of the particle, the coefficient of restitution, and the particle slip velocity at the wall as functions of the collision parameters.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 1

Conceptual model of two circular particles suspended in a fluid

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Figure 2

Schematic diagram for a single particle settling in an enclosure

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Figure 3

Particle trajectory at Re=32.2 when different time step is used

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Figure 4

Particle vertical velocity at Re=32.2 when different time step is used

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Figure 5

Particle vertical velocity at Re=32.2 when different grid spacing is used

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Figure 6

Comparison of particle velocity for all four cases

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Figure 7

A schematic diagram of a sphere moving towards a wall at velocity Vp and incident angle of θ

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Figure 8

Particle approaching and rebounding velocities during collision. Soft-sphere model with k=500,000 dyn/cm and e=0 are used

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Figure 9

Approaching and rebounding velocity of a particle at different spring stiffness

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Figure 10

Approaching and rebounding velocity of a particle at different damping coefficient

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Figure 11

Particle velocity components before and after the collision at different spring constant with η=50 dyn s/cm

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Figure 12

Particle normal and tangential velocity components before and after the collision with different damping coefficients

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