Table of Contents
Physical Separation in Science and Engineering
Volume 2007, Article ID 28908, 6 pages
http://dx.doi.org/10.1155/2007/28908
Research Article

Hydrodynamic and Hydromagnetic Stability of Viscous-Viscoelastic Superposed Fluids in Presence of Suspended Particles

Department of Mathematics, ICDEOL Himachal Pradesh University, Summer-Hill, Shimla 171005, India

Received 11 December 2006; Accepted 2 May 2007

Academic Editor: Gernot Krammer

Copyright © 2007 Pardeep Kumar and Mahinder Singh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The Rayleigh‐Taylor instability of a Newtonian viscous fluid overlying an Oldroydian viscoelastic fluid containing suspended particles is considered. As in both Newtonian viscous-viscous fluids, the system is stable in the potentially stable case and unstable in the potentially unstable case, this holds for the present problem also. The effect of a variable horizontal magnetic field is also considered. The presence of magnetic field stabilizes a certain wavenumber band, whereas the system is unstable for all wavenumbers in the absence of the magnetic field for the potentially unstable arrangement.