Combined effect of suspended particles and rotation on thermosolutal convection in a viscoelastic fluid saturating a Darcy-Brinkman porous medium

Document Type : Regular Paper

Authors

1 Department of Mathematics, NSCBM Govt. P. G. College, Hamirpur-177 005, Himachal Pradesh

2 Department of Mathematics, Govt. P. G. College, Dhaliara, Kangra-177 103, Himachal Pradesh, India

Abstract

In this paper, the combined effect of suspended (fine dust) particles and rotation on the onset of thermosolutal convection in an elastico-viscous fluid in a porous medium is studied. For the porous medium, the Brinkman model is employed and Rivlin-Ericksen model is used to characterize viscoelastic fluid. By applying normal mode analysis method, the dispersion relation has been derived and solved analytically. It is observed that the rotation, stable solute gradient, suspended particles, gravity field and viscoelasticity introduce oscillatory modes. For stationary convection, it is observed that the rotation, stable solute gradient have a stabilizing effect and suspended particles have a destabilizing effect on the system whereas Darcy number and medium permeability have stabilizing/destabilizing effects under certain conditions. The effects of rotation, stable solute gradient, suspended particles, Darcy number and medium permeability have also been shown graphically.

Keywords

Iranian Journal of Science
Volume 37, Issue 3.1 - Serial Number 3
September and October 2013
Pages 319-325

Files

Share

How to cite

Statistics