Cubic Interpolation Pseudo-Particle Navier-Stokes Formulation Method for Solid Particle-Fluid Interaction in Channel Flow with Cavity

Abstract

Particles dispersion studies have attracted researchers' interest in understanding the physics behind the phenomena. Fluid-particle transport related to cavity flows is relevant to several natural and engineering applications such as cleaning of process equipment. However, there is no detailed discussion on the flow in the cavity channel with the dispersion of the particles and the combination of the effect of different geometric and fluid parameters with the presence of heat. This study is about predicting the behaviour of the solid particle dispersion in the channel with cavity and the interaction with the surrounding fluid with different geometrical, flow and particles parameters. Cubic Interpolation Pseudo-Particle (CIP) method was applied to solve the hyperbolic, advective term of vorticity transport Navier-Stokes equations coupled with energy equation in the two-dimensional, incompressible and laminar flow over the cavity and Eulerian-Lagrangian approach to model the dispersion of the particles inside the cavity. Flow inside cavity with an aspect ratio (AR) range from 0.5 to 4, and Reynolds number (Re) from 50 to 1000 were investigated. Validation studies were conducted numerically by evaluating the CIP method on the flow in the channel with the cavity. Qualitative comparisons between the numerical and experimental were evaluated and presented.

A Brief Review of Particle Dispersion of Cavity Flow

“…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. They findings show that the particles are dependent on the flow characteristics inside the cavity.…”

Numerical Simulation of Steady and Unsteady Flow and Entropy Generation by Nanofluid Within a Sinusoidal Channel

“…This mechanism is even incorporated into the environmental sciences and is responsible for oceanic and atmospheric motion, as well as related heat transfer processes. So far, many sources have reported on methods of increasing the convective heat transfer coefficient [2,3]. Many of these methods focus on changes in equipment structure, such as increased thermal surfaces (blades), vibration of thermal surfaces, injection or suction of fluids, and application of electric or magnetic current.…”

Convective Boundary Conditions Effect on Cylindrical Media with Transient Heat Transfer

“…In this paper, we use LBM to simulate convective boundary condition inside a cylindrical media. In fact, nowadays LBM is considered as bright numerical technique for simulating thermal and fluid flows associated with complex boundary conditions [8][9][10][11][12][13][14][15][16][17][18][19][20]. it is known that conventional numerical methods (CFD) discretize the macroscopic equations.…”