Non-spherical particles sedimentation in an incompressible Newtonian medium by Padé approximation

Abstract

The settling behavior of solid particles is of fundamental importance in natural and artificial applications. In this paper, the unsteady motion of a vertically falling non-spherical particle in incompressible Newtonian media was investigated. The velocity and acceleration were carried out by using the differential transformation method (DTM) and a Padé approximate which are an analytical solution technique. The velocity and acceleration are shown for different values of the embedding parameters. The analytical results indicate that the velocity of the gold particle is higher than the copper and aluminum particles. Furthermore, the velocity and acceleration increases with an increase in the sphericity. Comparison of the results illustrates that the analytical method and numerical data are in a good agreement with each other.