An Accurate Solution for the Steady Flow of Third-Grade Fluid in a Porous Half Space

Authors

  • Saeid ABBASBANDY Department of Mathematics, Imam Khomeini International University, Ghazvin 34149
  • Hadi Roohani GHEHSAREH Department of Mathematics, Imam Khomeini International University, Ghazvin 34149
  • Ishak HASHIM Centre for Modelling & Data Analysis, School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 Bangi Selangor

Keywords:

Third-grade fluid, porous half space, analytical solution, Padé approximation, Hankel-Padé method

Abstract

In this paper, a simple and efficient analysis technique, Hankel-Pade method, is proposed to find the solution of anonlinear ordinary differential equation that appears in the studyof the steady flow of the third-grade fluid in a porous halfspace. The numerical solutions  for some cases of the model'sparameters are obtained by using Hankel-Pade method. Theconvergence of the Hankel sequences is analyzed. Comparison toother available results for these problems reveals reliability andhigh accuracy of the proposed technique. Also the simpleanalytical expressions of the solutions of the governingnon-linear boundary-layer problems are developed as rationalapproximation solutions. The effectivity and convergence of therational approximation solutions are investigated by theillustrative graphs and tables.

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Author Biographies

Saeid ABBASBANDY, Department of Mathematics, Imam Khomeini International University, Ghazvin 34149

Department of Mathematics, Imam Khomeini International University, Ghazvin 34149

Hadi Roohani GHEHSAREH, Department of Mathematics, Imam Khomeini International University, Ghazvin 34149

Department of Mathematics, Imam Khomeini International University, Ghazvin 34149

Ishak HASHIM, Centre for Modelling & Data Analysis, School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 Bangi Selangor

Centre for Modelling & Data Analysis, School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 Bangi Selangor

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Published

2012-03-01

How to Cite

ABBASBANDY, S., GHEHSAREH, H. R., & HASHIM, I. (2012). An Accurate Solution for the Steady Flow of Third-Grade Fluid in a Porous Half Space. Walailak Journal of Science and Technology (WJST), 9(2), 153–163. Retrieved from https://wjst.wu.ac.th/index.php/wjst/article/view/248