The Use of Thermal Lattice Boltzmann Numerical Scheme for Particle-Laden Channel Flow with a Cavity

Abstract

In this article, particle-laden flow in a channel with heated cavity has been investigated. Calculations were performed using a point force scheme for particle dynamics, while the process of fluid renewal was modeled using the double-population thermal lattice Boltzmann method. Point-particle formulation accounts for the finite-size dispersed phase and the forces acting on the particles were modeled through drag force correlations. Two-way interactions of solid-fluid calculation were considered by adding an external force term for feedback that forced particles in the evolution of fluid distribution function. The method was first validated with steady state flow in a channel with cavity in the presence and absence of a heat source. It was then applied to mixed convection flow laden with particles at various Grashof numbers. The particle dispersion characteristics were examined in detail, where the particle removal rate from cavity upon cavity aspect ratio was emphasized. The effect of the Reynolds number on particle distribution was further investigated numerically by varying the speed of inlet flow into the channel.

A Brief Review of Particle Dispersion of Cavity Flow

“…Fang [56][57] studied the effect of mix convection to the removal of the contaminant fluid inside the cavity with different AR. Despite fluid as the contaminant, Jahanshaloo et al, [58] used particles with the density of the particles are the same as the fluid as a contaminant. Besides the differences, the results show that the convection occurred increases the removal rate of the contaminant from the cavity due to changes in flow structures inside the cavity.…”

“…Comparison of their validation study with experiment work by Tsorng et al, [66] showed that the Lagrangian approach can provide high accuracy numerical results. On the other hand, Saadun et al, [49] and Jahanshaloo et al, [58] studied the particle dispersion from the cavity. Recently, Sahak et al, [67] investigated the behaviour of the solid particles in the dispersion process from the cavity inside the channel at the various combination of geometrical, flow and particles parameters.…”

Numerical investigation of conjugate heat transfer and temperature-dependent viscosity in non-Brownian suspensions with application to hydraulic fracturing

“…A consequence of this however is that when collisions occur the contact area is very small compared to the overall surface area of the sphere and collision times are generally short. These two factors mean that some previous studies have assumed the conduction heat transfer mechanism to be negligible [89]. Whilst this may be true for dilute suspensions where the interaction between particles (and indeed between particles and walls) is relatively rare, such a process would become appreciable in suspensions with higher solid volume fractions.…”

“…The calculation of the hydrodynamic forces acting on a particle is of specific interest in the linking of suspension components. The simplest way to couple the two components is to apply hydrodynamic forces through the use of a drag correlation (such as by Jahanshaloo et al [89]) as part of the force resolution step. These are typically in the form,…”