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Research Journal of Engineering and Technology
Year : 2015, Volume : 6, Issue : 1
First page : ( 50) Last page : ( 57)
Print ISSN : 0976-2973. Online ISSN : 2321-581X.
Article DOI : 10.5958/2321-581X.2015.00009.4

Electrohydrodynamic Instability of an Elastico-Viscous Dielectric Fluid Layer under Rotation

Rana G. C.1,*, Jamwal H. S.2, Chadha Kalpna3

1Department of Mathematics, Sidharth Govt. College, Nadaun-177 005, Himachal Pradesh, India

2Visiting Faculty Department of Mathematics, Apex Professional University, Pasighat, Arunachal Pradesh, India

3Department of Mathematics, NSCBM Govt. P. G. College, Hamirpur, Himachal Pradesh, India

*Corresponding Author: drgcrana15@gmail.com, srksmsv@gmail.com

Abstract

In this paper, the combined effect of uniform rotation and AC electric field on the onset of instability in a horizontal layer of an elastico-viscous dielectric fluid layer is examined both analytically and graphically. Rivlin-Ericksen fluid model is used to describe rheological behaviour of an elastico-viscous fluid. The stability criteria for stationary and oscillatory convection are derived for the case of free-free boundaries. It is observed that Rivlin-Ericksen fluid behaves like an ordinary Newtonian fluid in the case of stationary convection and rotation has stabilizing effect whereas AC electric field has destabilizing influence on the stability of the system. The necessary condition for the existence of oscillatory convection is also obtained. The effect of rotation and AC electric field has also been shown graphically. The present results are in agreement with the earlier published results.

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Keywords

Rivlin-Ericksen fluid, Rotation, AC electric field, electrohydrodynamic, viscosity, viscoelasticity.

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