Settling behavior of two particles with different densities in a vertical channel

Simulation of sedimentation of two spheres with different densities in a square tube

“…Furthermore, they found that this grouping behaviour strongly depended on the number of cylinders as well as the Reynolds number. More recently, simulations were done on the sedimentation of two circular cylinders with different densities at finite Reynolds numbers (Nie, Lin & Gao 2017;Nie & Lin 2019). This sedimentation system shows two types of periodic state as the Galileo number increases, with different amplitudes and frequencies that also change differently with increasing density difference between cylinders (Nie et al 2017;Nie & Lin 2019).…”

“…More recently, simulations were done on the sedimentation of two circular cylinders with different densities at finite Reynolds numbers (Nie, Lin & Gao 2017;Nie & Lin 2019). This sedimentation system shows two types of periodic state as the Galileo number increases, with different amplitudes and frequencies that also change differently with increasing density difference between cylinders (Nie et al 2017;Nie & Lin 2019). In particular, simulations reveal a discontinuous change in the settling velocity of the cylinders as well as in the oscillation period of the cylinders at a critical density difference (Nie & Lin 2019).…”

“…Previous 2-D studies (Aidun & Ding 2003;Verjus et al 2016) showed that this simple system reflects a rich and complex dynamical feature at low but finite Reynolds numbers even for two equal particles, suggesting that the inertia of the system plays a key role in determining the patterns of sedimentation behaviour. A small difference between the densities of particles can be treated as a perturbation of the system, which has been shown to have significant effects on the physics and dynamics of the system in the presence of fluid inertia (Nie et al 2017;Nie & Lin 2019). However, studies of this problem for the 3-D case, which has a wider range of engineering applications, are very rare.…”

Study of Drafting, Kissing and Tumbling Process of two Particles with different Densities using Immersed Boundary Method in a Confined Medium

“…[3] Now the paper will report the results obtained by performing numerical simulations between two interacting sedimenting particles for the case when the sedimenting particles are of different densities but same diameter. The authors of the paper will like to emphasize that the earlier work done by researchers [7][8][9] for different particle density problems did not focusses on the DKT behaviour of the particles. Here the emphasis has been given to study the drafting, kissing tumbling process of two particles.…”

“…[7], [8] Settling of two particles with different densities in a vertical channel was studied using the Lattice-Boltzmann method in. [9] The main aim of the paper was to study the settling behaviours of the two particles under the influence of the Reynolds number $Re$ and the density difference between the particles. This paper focusses on studying the dynamics of two interacting circular particles in two dimension (which corresponds to an infinite cylinder in three dimension) for the case when the two particles have same diameter (D) but different density.…”