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Research Journal of Engineering and Technology
Year : 2017, Volume : 8, Issue : 3
First page : ( 237) Last page : ( 244)
Print ISSN : 0976-2973. Online ISSN : 2321-581X.
Article DOI : 10.5958/2321-581X.2017.00038.1

Thermosolutal Instability in Rivlin-Ericksen Fluid in the presence of Hall Currents

Kango S. K.*

Department of Mathematics, Govt. College, Barsar (HP) INDIA

*Corresponding Author Email: skkango72@gmail.com

AMC 2000 76A05; 76A10; 76E06; 76E25.

Online published on 24 May, 2018.

Abstract

The thermosolutal instability of a layer of Rivlin-Ericksen elastico-viscous fluid is considered in the presence of uniform horizontal magnetic field to include the Hall currents in non-porous medium. For the case of stationary convection, the Hall currents hasten the onset of convection, the magnetic field postpones the onset of convection, whereas the kinematic viscoelasticity has no effect on the onset of convection. The Hall currents, kinematic viscoelasticity, magnetic field and the solute parameter introduce oscillatory modes in the system, which were non-existent in their absence. The case of overstability is also considered wherein the sufficient conditions for the non-existence of overstability are obtained. The results are also shown graphically.

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Keywords

Thermosolutal Instability, Hall Currents, Rivlin-Ericksen Fluid, Viscoelasticity, Overstability.

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