Authors: Dhananjay Yadav; G.S. Agrawal; Rama Bhargava
Addresses: Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 247667, India. ' Department of Computer Science, Manglayatan University, Aligarh, 202145, India. ' Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, 247667, India
Abstract: The double-diffusive convection in a horizontal nanofluid saturated porous layer is studied analytically using a Brinkman-Darcy model. The model used for nanofluid includes the effects of Brownian motion and thermophoresis. The linear stability theory is employed to obtain the condition for the onset of convection. The effect of solute Rayleigh number, Soret parameter, Dufour parameter, Lewis number, nanoparticle Rayleigh number, nanoparticle Lewis number, modified particle-density increment parameter, modified diffusivity ratio, Darcy number and the porosity parameter have been analysed on the onset of convection. The sufficient conditions for the non-existence of overstability are also obtained.
Keywords: nanofluids; double diffusive convection; Brownian motion; thermophoresis; porous medium; Galerkin method; nanotechnology; saturated porous layers; nanoparticles.
International Journal of Theoretical and Applied Multiscale Mechanics, 2012 Vol.2 No.3, pp.198 - 224
Received: 21 Feb 2012
Accepted: 30 Apr 2012
Published online: 19 Oct 2012 *