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

DOI: 10.4236/jmp.2014.53017, PP. 103-106

Keywords: Numerical Inversion of Laplace Transform, Unsteady Thin Film, Second Grade Fluid

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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.

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