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

Mohsen Torabi, Hessameddin Yaghoobi, Karem Boubaker

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)

Abstract

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 Padé 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.

Original languageEnglish
Pages (from-to)224-228
Number of pages5
JournalInternational Journal of Heat and Mass Transfer
Volume58
Issue number1-2
DOIs
Publication statusPublished - 2013
Externally publishedYes

ASJC Scopus Subject Areas

  • Condensed Matter Physics
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

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Torabi, M., Yaghoobi, H., & Boubaker, K. (2013). Accurate solution for motion of a spherical solid particle in plane Couette Newtonian fluid mechanical flow using HPM-Padé approximant and the Boubaker polynomials expansion scheme BPES. International Journal of Heat and Mass Transfer, 58(1-2), 224-228. https://doi.org/10.1016/j.ijheatmasstransfer.2012.11.007