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 ReP , which
confirms the solution for the first t = 0.1 s. The results show that the most important force governing
particle motion is the pressure gradient force.
