Accurate solution for motion of a spherical solid particle in plane Couette Newtonian fluid mechanical flow using HPM-Pade approximant and the Boubaker polynomials expansion scheme BPES

Torabi M; Yaghoobi H; Boubaker K

International Journal of Heat and Mass Transfer, Vol.58, No.1-2, 224-228, 2013

DOI10.1016/j.ijheatmasstransfer.2012.11.007 Export Citation

Accurate solution for motion of a spherical solid particle in plane Couette Newtonian fluid mechanical flow using HPM-Pade approximant and the Boubaker polynomials expansion scheme BPES

Torabi M, Yaghoobi H, Boubaker K

In this paper the analytical solutions for the motion of a spherical particle in a plane Couette Newtonian fluid flow are investigated, by using homotopy perturbation method (HPM) and Pade approximant and the Boubaker polynomials expansion scheme (BPES). The current results are then compared with those derived from 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. (C) 2012 Elsevier Ltd. All rights reserved.

Keywords:Solid spherical particle;Newtonian fluid;Sedimentation;Homotopy perturbation method (HPM);Boubaker polynomials expansion scheme (BPES);Pade approximant