Homotopy perturbation method for motion of a spherical solid particle in plane couette fluid flow

  • Authors:
  • M. Jalaal;M. G. Nejad;P. Jalili;M. Esmaeilpour;H. Bararnia;E. Ghasemi;Soheil Soleimani;D. D. Ganji;S. M. Moghimi

  • Affiliations:
  • School of Engineering, University of British Columbia, Kelowna, V1V 1V7 BC, Canada;Department of Mechanical Engineering, Babol University of Technology, P.O. Box 484, Babol, Iran;Department of Mechanical Engineering, Islamic Azad University of Takestan, Takestan, Iran;Department of Mechanical Engineering, Babol University of Technology, P.O. Box 484, Babol, Iran;Department of Mechanical Engineering, Babol University of Technology, P.O. Box 484, Babol, Iran;Department of Mechanical Engineering, Babol University of Technology, P.O. Box 484, Babol, Iran;Department of Mechanical Engineering, Babol University of Technology, P.O. Box 484, Babol, Iran;Department of Mechanical Engineering, Babol University of Technology, P.O. Box 484, Babol, Iran;Department of Mechanical Engineering, Islamic Azad University, Qaemshahr Branch, Qaemshahr, Mazandaran, Iran

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2011

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Abstract

He's homotopy perturbation method is applied to obtain exact analytical solutions for the motion of a spherical particle in a plane couette flow. It is demonstrated that the applied analytical method is very straightforward in comparison with existing techniques. Furthermore, it is decidedly effectual in terms of accuracy and rapid convergence. The formulation of the problem is presented in the text as well as the analytical and numerical procedures. The current results can be used in different areas of particulate flows.