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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN Print: 2152-5102
ISSN Online: 2152-5110

International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v39.i6.10
pages 467-477

Effect of Rotation on the Onset of Convection in Rivlin − Ericksen Fluid Heated from below in a Brinkman Porous Medium

G. C. Rana
Department of Mathematics, Government College Hamirpur, Himachal Pradesh, India
V. Sharma
Himachal Pradesh University Shimla, Himachal Pradesh, India

ABSTRACT

The effect of rotation on the onset of convection in Rivlin − Ericksen elastico-viscous fluid heated from below in porous medium is considered. For the porous medium, the Brinkman model is employed. By applying normal mode analysis method, the dispersion relation has been derived and solved analytically. It is observed that the medium permeability, rotation, gravity field and viscoelasticity introduce oscillatory modes. For stationary convection, the rotation and Darcy number has stabilizing effect whereas the medium permeability has destabilizing/stabilizing effect on the system under certain conditions. The effects of rotation, Darcy number and medium permeability has also been shown graphically.


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