Analytical study of single particle tracking in both free and forced vortices

Today, the flow of gas–solid, solid–liquid and liquid–liquid mixtures is broadly used in many industries such as slurry transportation, propulsion, dredging and power generation equipment. In this paper, single solid particle motion through free and forced vortices is analytically studied. The equations are solved for cases in which the drag, pressure gradient, added mass, buoyancy and weight forces are considered individually and simultaneously. Verification has been done for the value of image, which confirms the solution for the first image. The results show that the most important force governing particle motion is the pressure gradient force.