In this work the previously developed Lattice Boltzmann-Direct Forcing/Fictitious Domain(LB-DF/FD)method is adopted to simulate the sedimentation of eight circular particles under gravity at an intermediate Reynolds number of about 248.The particle clustering and the resulting Drafting-Kissing-Tumbling(DKT)motion which takes place for the first time are explored.The effects of initial particleparticle gap on the DKT motion are found significant.In addition,the trajectories of particles are presented under different initial particle-particle gaps,which display totally three kinds of falling patterns provided that no DKT motion takes place,i.e.the concave-down shape,the shape of letter“M”and“in-line”shape.Furthermore,the lateral and vertical hydrodynamic forces on the particles are investigated.It has been found that the value of Strouhal number for all particles is the same which is about 0.157 when initial particle-particle gap is relatively large.The wall effects on falling patterns and particle expansions are examined in the final.
The equation of probability distribution function for mean fiber orientation,and the equations of Reynolds averaged NavierStokes,turbulence kinetic energy and turbulence dissipation rate with the additional term of the fibers are derived and solved numerically.The effects of fiber concentration and fiber aspect-ratio on the mean velocity profile,turbulent kinetic energy and turbulent viscosity are analyzed.The results show that the mean axial velocity gradient increases near the centerline and decreases near the outside,respectively,as the fiber concentration increases.The mean axial velocity decreases with increasing the fiber concentration at the same radial positions.The centerline mean axial velocity decreases with axial distance,and this phenomenon is more obvious as the fiber concentration increases.The turbulent kinetic energy and turbulent viscosity increase over the jet region with an increasing fiber concentration.The variation tendency of mean axial velocity,turbulence kinetic energy and turbulence viscosity with fiber aspect-ratio is the same as that with fiber concentration.The difference is that the variation with fiber concentration is more obvious than with fiber aspect-ratio.
Numerical simulations of nanoparticle migration in a fully developed turbulent pipe flow are performed.The evolution of particle number concentration,total particle mass,polydispersity,particle diameter and geometric standard deviation is obtained by using a moment method to approximate the particle general dynamic equation.The effects of Schmidt number and Damkhler number on the evolution of the particle parameters are analyzed.The results show that nanoparticles move to the pipe center.The particle number concentration and total particle mass are distributed non-uniformly along the radial direction.In an initially monodisperse particle field,the particle clusters with various sizes will be produced because of coagulation.As time progresses,the particle cluster diameter grows from an initial value at different rates depending on the radial position.The largest particle clusters are found in the pipe center.The particle cluster number concentration and total particle mass decrease with the increase of Schmidt number in the region near the pipe center,and the particles with lower Schmidt number are of many dif-ferent sizes,i.e.more polydispersity.The particle cluster diameter and geometric standard deviation increase with the increase of Damkhler number at the same radial position.The migration properties for nano-sized particles are different from that for micro-sized particles.
The study of nano-and submicron Brownian particle-laden turbulent flow has wide industrial applicability and hence has received much attention.The purpose of the present paper is to provide and review some researches in this field.The topics are related to the universality,particularity,complexity and importance of nano-and submicron Brownian particle-laden turbulent flow,the models of particle general dynamical equation,the collision behavior of particles.Finally,several open research issues are identified.
