International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 28042, 10 pages
Effect of magnetic field on thermal instability of a rotating Rivlin-Ericksen viscoelastic fluid
Department of Mathematics, International Centre for Distance Education and Open Learning (ICDEOL), Himachal Pradesh University, Shimla 171005, India
Received 22 February 2005; Revised 6 September 2005; Accepted 23 October 2005
Copyright © 2006 Pardeep Kumar et al. 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.
The thermal instability of a rotating Rivlin-Ericksen viscoelastic
fluid in the presence of uniform vertical magnetic field is
considered. For the case of stationary convection, Rivlin-Ericksen
viscoelastic fluid behaves like a Newtonian fluid. It is found
that rotation has a stabilizing effect, whereas the magnetic field
has both stabilizing and destabilizing effects. Graphs have been
plotted by giving numerical values to the parameters, to depict
the stability characteristics. The rotation and magnetic field are
found to introduce oscillatory modes in the system which were
nonexistent in their absence.