Liquid convection effects on the pushing-engulfment transition of insoluble particles by a solidifying interface: Part II. Numerical calculation of drag and lift forces on a particle in parabolic shear flow

Abstract

In this work, lift and drag forces acting on a particle in the close vicinity of a wall are calculated by numerically solving the incompressible two-dimensional Navier-Stokes equations. The flow field computations are done using the well-known Marker and Cell (MAC) method on a staggered grid. A parabolic shear flow at the inlet is assumed. The particle is assumed to be nonrotating and Magnus forces are not considered. The numerical results are compared to those obtained from analytical/empirical expressions for drag and lift forces from different theoretical models. Reasonably good agreement has been found between the two approaches.