Analytical Study of the Transient Motion of a Falling Spherical Particle in Incompressible Newtonian Media, Comparison with HPM

In this paper the acceleration motion of a vertically falling spherical particle in incompressible Newtonian media investigated. The instantaneous velocity and acceleration are carried out by using differential transformation method (DTM) which is an analytical solution technique. By using DTM, the non-linear constrained governing equations are reduced to recurrence relations and related initial conditions are transformed into a set of algebraic equations. The solutions are subsequently solved by a process of inverse transformation. The current results are then compared with those derived from homotopy perturbation method (HPM) and the established fourth order Runge-Kutta method in order to verify the accuracy of the proposed method. It is found that this method can achieve more suitable results compare with HPM

کلیدواژه ها:

Solid spherical particle ، Acceleration motion ، Solid–liquid systems ، Sedimentation ، Differential transformation method (DTM)