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Research Journal of Science and Technology
Year : 2017, Volume : 9, Issue : 1
First page : ( 1) Last page : ( 8)
Print ISSN : 0975-4393. Online ISSN : 2349-2988.
Article DOI : 10.5958/2349-2988.2017.00001.8

Thermal Instability of Rotating Kuvshiniski Viscoelastic Nanofluid in a Porous Medium

Chand Ramesh*, Rana G. C., Kango S. K.

1Department of Mathematics, Government College, Nurpur, Himachal Pradesh, India

2Department of Mathematics, NSCBM Govt. College, Hamirpur-177005, Himachal Pradesh, India

3Department of Mathematics, Government College, Barsar, Himachal Pradesh, India

*Corresponding Author E-mail: rameshnahan@yahoo.com, drgcrana15@gmail.com

Online published on 12 January, 2017.

Abstract

Thermal instability in a horizontal layer of Kuvshiniski viscoelastic nanofluid for more realistic boundary conditions is studied theoretically within the frame work of linear theory. The flux of volume fraction of nanoparticles is taken to be zero on the isothermal boundaries. For porous medium Brinkman model is taken into consideration and the model used for nanofluid incorporates the effect of Brownian diffusion and thermophoresis. The stability criterion for stationary and oscillatory convection have been derived and graphs have been plotted to study the effects of rotation, the Brinkman-Darcy number, the Lewis number, the modified diffusivity ratio and porosity parameter on the stationary convection.

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Keywords

Kuvshiniski viscoelastic fluid, rotation, Brownian motion, Galerkin technique, porous medium.

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