The Onset of Electrohydrodynamic Instability in a Couple-Stress Nano-fluid Saturating a Porous Medium: Brinkman Mode

  • G. C. Rana Department of Mathematics, NSCBM Govt. College, Hamirpur-177 005, Himachal Pradesh, India http://orcid.org/0000-0003-2724-8308
  • H. Saxena Department of Mathematics, Career Point University, Kota - 325003, Rajasthan, India
  • P. K. Gautam Department of Mathematics, Career Point University, Kota - 325003, Rajasthan, India

Abstract

Electro-hydrodynamic thermal instability of an elastic-viscous nanofluid saturating a porous in the presence of vertical AC electric field is investigated analytically and numerically. For porous medium, Brinkman model is employed and couple-stress fluid model is used to describe rheological behavior of a nanofluid. On the boundary of fluid layer nanoparticle the flux is assumed to be zero. The problem is solved by applying linear stability analysis based upon perturbation theory and normal mode analysis for isothermal free-free boundaries. The effects of couple-stress parameter, Brinkman-Darcy number, AC electric field, Lewis number, modified diffusivity ratio, nanoparticle Rayleigh number and medium porosity are presented for the case of stationary convection. Under the considered boundary conditions, the oscillatory convection does not exist.

Published
Jul 14, 2019
How to Cite
RANA, G. C.; SAXENA, H.; GAUTAM, P. K.. The Onset of Electrohydrodynamic Instability in a Couple-Stress Nano-fluid Saturating a Porous Medium: Brinkman Mode. Revista Cubana de Física, [S.l.], v. 36, n. 1, p. 37-45, july 2019. ISSN 2224-7939. Available at: <http://revistacubanadefisica.org/index.php/rcf/article/view/617>. Date accessed: 22 oct. 2019.
Section
Original Articles