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The effect of rotation on the onset of electrohydrodynamic instability of an elastico-viscous dielectric fluid layer

Rana G. C., Chand R., Sharma V.

Bulletin of the Polish Academy of Sciences. Technical Sciences

2016

Vol. 64, nr 1

143--149

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 fluid stimulated by the dielectrophoretic force due to the variation of dielectric constant with temperature is studied. Walters’ (model B’) fluid model is used to describe rheological behaviour of an elastico-viscous fluid. The onset criterions for stationary and oscillatory convection are derived for the case of free-free boundaries. It is observed that Walters’ (model B’) fluid behaves like an ordinary Newtonian fluid and rotation has stabilizing influence whereas AC electric field has destabilizing influence on the stability of the system. The necessary condition for the occurrence of oscillatory convection is also obtained. The present results are in good agreement with the earlier published results.

Stability of stratified elasto-viscous Walters' (Model B') fluid in the presence of horizontal magnetic field and rotation

Sharma V., Gupta U.

Studia Geotechnica et Mechanica

2010

Vol. 32, nr 2

41-53

The effect of horizontal magnetic field is considered on the stability of stratified viscoelastic Walters' (Model B') fluid in the presence of rotation. In contrast to the Newtonian fluids, the system is found to be unstable for small wavelength perturbations for the case of stable stratification. It is also found that the magnetic field stabilizes the certain wave-number band for unstable stratification in the presence of rotation and this wave - number range increases with the increase in magnetic field and decreases with the increase in kinematic visco-elasticity.