TITLE:
Laplace Transform Method for Unsteady Thin Film Flow of a Second Grade Fluid through a Porous Medium
AUTHORS:
M. Ali, M. Awais
KEYWORDS:
Numerical Inversion of Laplace Transform; Unsteady Thin Film; Second Grade Fluid
JOURNAL NAME:
Journal of Modern Physics,
Vol.5 No.3,
February
7,
2014
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.