“…The differential equation of dust force in the Lagrangian coordinate system is integrated into Fluent’s built-in DPM model to compute the trajectory of coal dust particles in the continuous phase, resulting in the migration and concentration distribution law of coal dust in the roadway. The differential equation for the force on coal dust is as follows: ,, normald u normalp → normald t = F D ( u ⃗ − u p → ) + g x ( ρ normalp − ρ ) ρ normalp + F x → F D = 18 μ ρ p d p 2 C D R e 24 where, u denotes continuous phase velocity, with a unit of m/s; u p denotes dust particle velocity, with a unit of m/s; g x denotes acceleration of gravity in the x -direction, with a unit of m/s 2 ; ρ p denotes dust particle density, with a unit of kg/m 3 ; d p denotes particle diameter, with a unit of m; C D denotes drag coefficient; Re denotes relative Reynolds number; F D ( u ⃗ − u p → ) denotes drag force per unit mass of coal dust particles, with a unit of N; F x → denotes other additional forces on the particle, mainly including virtual mass force, pressure gradient force, Saffman lift force, etc., with a unit of N. However, other additional forces can generally be neglected relative to the magnitude of the traction, gravity, and buoyancy forces on the particle.…”