Abstract

We investigated particulate flows by coupling simulations of the three-dimensional incompressible Navier–Stokes equation with the immersed boundary method (IBM). The results obtained from the two-way coupled simulation were compared with those of the one-way simulation, which is generally applied for clarifying the particle kinematics in industry. In the present flow simulation, the IBM was solved using a ghost–cell approach and the particles and walls were defined by a level set function. Using proposed algorithms, particle–particle and particle–wall collisions were implemented simply; the subsequent coupling simulations were conducted stably. Additionally, the wake structures of the moving, colliding and rebounding particles were comprehensively compared with previous numerical and experimental results. In simulations of 50, 100, 200 and 500 particles, particle–wall collisions were more frequent in the one–way scheme than in the two-way scheme. This difference was linked to differences in losses in energy and momentum.

Highlights

  • The dynamics of the particle–wall and particle–particle collisions for Reynolds numbers below1000 have been studied by various experiments and numerical simulations

  • Eames et al [1] and Vanella et al [2] explored the vortex structures generated by particle–wall collisions by the experiment and numerical simulation, and Griffith et al [3] analyzed the dynamics associated with particle–particle collisions

  • A three-dimensional flow solver based on immersed boundary method (IBM) was developed and applied to the flows around multiple particles colliding with a wall

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Summary

Introduction

The dynamics of the particle–wall and particle–particle collisions for Reynolds numbers below1000 have been studied by various experiments and numerical simulations. The dynamics of the particle–wall and particle–particle collisions for Reynolds numbers below. Eames et al [1] and Vanella et al [2] explored the vortex structures generated by particle–wall collisions by the experiment and numerical simulation, and Griffith et al [3] analyzed the dynamics associated with particle–particle collisions. Di Sarli et al [6], using the numerical simulation based on the Eulerian approach for the fluid phase and the Lagrangian approach for the solid phase, studied the effect of the diameter of dust particles injected in a spherical vessel on the resulting turbulent flow field and dust distribution. The flow structures and the particle behavior of a system with multiple particle–wall collisions are still unclear.

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