Laplace Transform Method for Unsteady Thin Film Flow of a Second Grade Fluid through a Porous Medium

M. Ali, M. Awais

Department of Mathematics and Statistics, University of Victoria, Victoria, Canada.
Department of Mathematics, COMSATS Institute of Information Technology, Islamabad, Pakistan.

DOI: 10.4236/jmp.2014.53017                

Abstract

In this article, we have effectively used the Numerical Inversion of Laplace transform to study the time-dependent thin film flow of a second grade fluid flowing down an inclined plane through a porous medium. The solution to the governing equation is obtained by using the standard Laplace transform. However, to transform the obtained solutions from Laplace space back to the original space, we have used the Numerical Inversion of Laplace transform. Graphical results have been presented to show the effects of different parameters involved and to show how the fluid flow evolves with time.

Keywords

Numerical Inversion of Laplace Transform; Unsteady Thin Film; Second Grade Fluid

Conflicts of Interest

The authors declare no conflicts of interest.

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