## THERMAL SCIENCE

International Scientific Journal

### UNSTEADY MAGNETOHYDRODYNAMICS 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 magnetohydrodynamics 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 non-linear partial differential equations. These equations together with physical boundary conditions are solved using two analytical techniques namely optimal homotopy asymptotic method and homotopy perturbation method. 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.

**KEYWORDS**

PAPER SUBMITTED: 2014-11-28

PAPER REVISED: 2015-02-19

PAPER ACCEPTED: 2015-02-19

PUBLISHED ONLINE: 2015-05-03

**THERMAL SCIENCE** YEAR

**2017**, VOLUME

**21**, ISSUE

**2**, PAGES [875 - 887]

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