Volume No. :   6

Issue No. :  1

Year :  2015

ISSN Print :  0976-2973

ISSN Online :  2321-581X


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On the Onset of Electrohydrodynamic Instability of Rivlin-Ericksen Viscoelastic Dielectric Fluid Layer



Address:   G. C. Rana1*, Rakesh Kumar2 and Ramesh Chand3
1Department of Mathematics, Sidharth Govt. College, Nadaun-177 005, Himachal Pradesh, India
2Department of Physics, Sidharth Govt. College, Nadaun-177 005, Himachal Pradesh, India
3Department of Mathematics, Govt. College Dharampur, District Mandi, Himachal Pradesh, India
*Corresponding Author
DOI No: 10.5958/2321-581X.2015.00003.3

ABSTRACT:
In this paper we investigate the effect of AC electric field on the onset of instability of an elastico-viscous Rivlin-Ericksen dielectric fluid layer stimulated by the dielectrophoretic force due to the variation of dielectric constant with temperature. By applying linear stability theory and normal mode analysis method, we derive the dispersion relation describing the influence of viscelasticity and AC electric field. For the case of stationary convection, it is observed that Rivlin-Ericksen fluid behaves like an ordinary Newtonian fluid whereas AC electric field hastens the stationary convection. The present results are in good agreement with the earlier published results.
KEYWORDS:
Walter’ (model B') fluid, AC electric field, Electrohydrodynamic, Viscosity, Viscoelasticity.
Cite:
G. C. Rana, Rakesh Kumar, Ramesh Chand. On the Onset of Electrohydrodynamic Instability of Rivlin-Ericksen Viscoelastic Dielectric Fluid Layer. Research J. Engineering and Tech. 6(1): Jan.-Mar. 2015 page 13-18.
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