Journal of Applied Mathematics and Stochastic Analysis 
Volume 5 (1992), Issue 2, Pages 131-138
doi:10.1155/S1048953392000108

On the unsteady flow of two visco-elastic fluids between two inclined porous plates

P. R. Sengupta,1 T. K. Ray,2 and L. Debnath3

 1University of Kalyani, Department of Mathematics, Kalyani, West Bengal, India
2River Research Institute, West Bengal, Mohanpur, India
3University of Central Florida, Department of Mathematics, Orlando 32816, Florida, USA
Received 1 September 1991; Revised 1 January 1992

Abstract

This study is concerned with both hydrodynamic and hydromagnetic unsteady slow flows of two immiscible visco-elastic fluids of Rivlin-Ericksen type between two porous parallel nonconducting plates inclined at a certain angle to the horizontal. The exact solutions for the velocity fields, skin frictions, and the interface velocity distributions are found for both fluid models. Numerical results are presented in graphs. A comparison is made between the hydrodynamic and hydromagnetic velocity profiles. It is shown that the velocity is diminished due to the presence of a transverse magnetic field.