Unsteady MHD Thin Film Flow of a Third Grade Fluid over an Oscillating Inclined Belt Embedded in a Porous Medium

Abstract

In the present work we examine the motion of an incompressible unidirectional magneto-hydrodynamics (MHD) thin film flow of a third grade fluid over an oscillating inclined belt embedded in a porous medium. Moreover, heat transfer analysis has been also discussed in the present work. This physical problem is modeled in terms of nonlinear partial differential equations. These equation together with physical boundary conditions are solved using two analytical techniques namely Optimal Homotopy Asymptotic Method (OHAM) and Homotopy Perturbation Method (HPM). The comparisons of these two methods for different time level are analyzed numerically and graphically. The results exposed that both methods are in closed agreement and they have identical solutions. The effects of various non-dimensional parameters have also been studied graphically.

Dates

  • Submission Date2014-11-28
  • Revision Date2015-02-19
  • Acceptance Date2015-02-19
  • Online Date2015-05-03

DOI Reference

10.2298/TSCI141128054G

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