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Rana G.C.,Sidharth Government College | Rana G.C.,Apex Professional University | Chand R.,Government College NurpurHimachal Pradesh | Sharma V.,Himachal Pradesh University
Bulletin of the Polish Academy of Sciences: Technical Sciences | Year: 2016

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. © 2016, Versita. All rights reserved.


Rana G.C.,Sidharth Government College | Rana G.C.,Apex Professional University | Chand R.,Government College Nurpur | Yadav D.,Jeju National University
FME Transactions | Year: 2015

In this paper we investigate the effect of AC electric field on the onset of instability of an elastico-viscous Walters' (model B') 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 Walters' (model B') 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. © Faculty of Mechanical Engineering, Belgrade.


Singh K.,CNRS Crystallography and Material Science Laboratory | Kumar N.,Barkatullah University | Kumar N.,Sidharth Government College | Singh B.,Barkatullah University | And 5 more authors.
Journal of Superconductivity and Novel Magnetism | Year: 2011

Magnetic and dielectric properties of the double perovskite compounds of the type R 2CuTiO 6 (RCTO, where R=Y, La, Pr and Nd) has been studied. Y 2CuTiO 6 (YCTO) crystallizes in a hexagonal unit cell, whereas the other three compounds form into orthorhombic structure. All four compounds show paramagnetic behavior down to 5 K. The dielectric studies show moderate dielectric constant (ε) and very small dielectric loss (tan∈δ) for YCTO. The orthorhombic members of RCTO compounds exhibit moderate values of ε and tan δ. The dielectric properties are presented and discussed here in the light of the influence of structure and rare-earth ions on the physical properties of RCTO compounds. © 2011 Springer Science+Business Media, LLC.


Rana G.C.,Sidharth Government College | Chand R.,Government College Nurpur
Journal of Porous Media | Year: 2015

In this paper, we investigate analytically the thermal convection in a rotating nanofluid layer saturating a Darcy- Brinkman porous medium by using a more realistic linear stability analysis model. In this model, we assume that the nanoparticle concentration flux is zero on the boundaries and we can put values of temperature at the boundaries. The assumed boundary conditions neutralize the possibility of oscillatory convection, and only stationary convection occurs in the absence of rotation. But in the presence of rotation, oscillatory convection occurs due to the Coriolis effect. This paper is the extension of our previous paper in which we put both temperature and nanoparticle volume fraction at the boundaries of the nanofluid layer. © 2015 by Begell House, Inc.


Rana G.C.,Sidharth Government College | Chand R.,P.A. College
Bulletin of the Polish Academy of Sciences: Technical Sciences | Year: 2015

In this study, the onset of convection in an elastico-viscous Walters' (model B') nanofluid horizontal layer heated from below is considered. The Walters' (model B') fluid model is employed to describe the rheological behavior of the nanofluid. By applying the linear stability theory and a normal mode analysis method, the dispersion relation has been derived. For the case of stationary convection, it is observed that the Walters' (model B') elastico-viscous nanofluid behaves like an ordinary Newtonian nanofluid. The effects of the various physical parameters of the system, namely, the concentration Rayleigh number, Prandtl number, capacity ratio, Lewis number and kinematics visco-elasticity coefficient on the stability of the system has been numerically investigated. In addition, sufficient conditions for the non-existence of oscillatory convection are also derived. © Bulletin of the Polish Academy of Sciences. Technical Sciences 2015.


Rana G.C.,Sidharth Government College | Chand R.,Government College
Forschung im Ingenieurwesen/Engineering Research | Year: 2015

In the present paper we study the stability analysis of double-diffusive convection in a horizontal layer of an elastico-viscous nanofluid in a porous medium. The Rivlin-Ericksen fluid model is employed to describe the rheological behavior of the nanofluid. The dispersion relation describing the effect of various parameters is obtained by applying normal modes method and by using linear stability analysis. In this model we assume that the nanoparticle concentration flux is zero on the boundaries and we can give the values of temperature and concentration at the boundaries. The assumed boundary conditions neutralize the possibility of oscillatory convection and only stationary convection occurs. For stationary convection; it is observed that the Rivlin-Ericksen elastico-viscous nanofluid fluid behaves like an ordinary Newtonian nanofluid. The solutal-Rayleigh Number, thermo-nanofluid Lewis number, thermo-solutal Lewis number, Soret parameter and Dufour parameter have stabilizing effect on the stationary convection. A very good agreement is found between the present paper and earlier published results. © 2015, Springer-Verlag Berlin Heidelberg.

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