ABSTRACT
Motion of particles in fluid is divided into two classes, i.e. rectilinear or curvilinear motion and random Brownian motion. Particle motion relative to a fluid is dominated by resistance forces acting on the particle and external forces, such as gravitational, centrifugal, and electrostatic forces. Mao and Alexeev presented the motion of spheroid particles in a simple shear flow at a low and moderate Reynolds number using a lattice Boltzmann method. If the Reynolds number is less than about 20, the superposition is available to calculate the combined effect of fluid and particle inertias on the motions of spheroids. The Navier–Stokes equation of fluid motion reduces to the linear equation, which is the creeping motion equation, by neglecting the inertia terms. Stokes solved firstly the creeping motion equation and obtained the fluid velocity and stress distributions around a spherical particle settling in a uniform flow.
