Advanced Powder Technology, Vol.24, No.3, 714-720, 2013
A novel and developed approximation for motion of a spherical solid particle in plane coquette fluid flow
The present article solves the couple equations of a spherical solid particle's motion in plane coquette fluid flow by using the HPM-Pade technique which is a combination of the Homotopy Perturbation Method (HPM) and Pade approximation. The series solutions of the couple equations are developed. Generally, the truncated series solution is adequately in a small region and to overcome this limitation, the Pade techniques which have the advantage of turning the polynomial approximation into a rational function, are applied to the series solution to improve the accuracy and enlarge the convergence domain. The current results compared with those derived from HPM and the established fourth order Runge-Kutta method in order to ascertain the accuracy of the proposed method. It is found that this method can achieve more suitable results in comparison to HPM. (C) 2012 The Society of Powder Technology Japan. Published by Elsevier B.V. and The Society of Powder Technology Japan. All rights reserved.
Keywords:Plane coquette fluid flow;Spherical solid particle;Velocity variations;Homotopy perturbation method;Pade approximant