alexa Analysis of Unsteady MHD Thin Film Flow of a Third Grade Fluid with Heat Transfer down an Inclined Plane
ISSN: 2168-9679

Journal of Applied & Computational Mathematics
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Research Article

Analysis of Unsteady MHD Thin Film Flow of a Third Grade Fluid with Heat Transfer down an Inclined Plane

Aiyesimi YM1, Okedayo GT2 and Lawal OW1*

1Department of Mathematics, Federal University of Technology Minna, Niger State, Nigeria

2Department of Mathematics, Ondo State University of Science and Technology Okitipupa, Ondo State, Nigeria

*Corresponding Author:
Lawal OW
Department of Mathematics
Federal University of Technology Minna
Niger State, Nigeria
Tel: 07032270305, 234-(0)7098809476
E-mail: [email protected]

Received Date: January 17, 2014; Accepted Date: February 12, 2014; Published Date: February 17, 2014

Citation: Aiyesimi YM, Okedayo GT, Lawal OW (2014) Analysis of Unsteady MHD Thin Film Flow of a Third Grade Fluid with Heat Transfer down an Inclined Plane. J Appl Computat Math 3:152. doi: 10.4172/2168-9679.1000152

Copyright: © 2014 Aiyesimi YM, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

Abstract

An investigation is made for unsteady MHD thin film flow of a third grade fluid down an inclined plane with no slip boundary condition. The governing nonlinear partial differential equations involved are reduced to linear partial differential equations using regular perturbation method. The resulting equations were solved using method of separation of variable and eigen functions expansion. The solutions obtained were examined and discussed graphically. It is interesting to find that the variation of the velocity and temperature profile with the magnetic field parameter and gravitational parameter depends on time.

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