Analytical and Numerical Study of Soret and Dufour Effects on Double Diffusive Convection in a Shallow Horizontal Binary Fluid Layer Submitted to Uniform Fluxes of Heat and Mass

Combined Soret and Dufour effects on thermosolutal convection induced in a horizontal layer filled with a binary fluid and subject to constant heat and mass fluxes are investigated analytically and numerically. The thresholds marking the onset of supercritical and subcritical convection are predicted analytically and explicitly versus the governing parameters. The present investigation shows that different regions exist in the N-Du plane corresponding to different parallel flow regimes. The number, the extent, and the locations of these regions depend on whether SrDu>-(1+Le2)/2Le2=f(Le) or SrDu<-(1+Le2)/2Le2. Conjugate effects of cross-phenomena on thresholds of fluid flow and heat and mass transfer characteristics are illustrated and discussed

Hydromagnetic soret convection in a shallow porous enclosure with a shear stress applied on the free upper surface

Paper presented at the 5th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics, South Africa, 1-4 July, 2007.The fluid flow induced by combined effects of thermal gradient, thermal diffusion, magnetic field and an external shear stress in a horizontal porous layer, subject to uniform heat flux along its long horizontal walls is studied analytically and numerically. The shear stress is applied on the top horizontal free surface while the bottom one is assumed to be rigid. The problem formulation is based on the Brinkman model with the Boussinesq approximation. The governing parameters are the thermal Rayleigh number, RT , the Lewis number, Le, the separation parameter, ϕ, the Darcy number, Da, the Hartmann number Ha, the dimensionless shear stress, τ and the aspect ratio of the enclosure, Ar. The analytical solution is derived on the basis of the parallel flow approximation and validated numerically using a finite difference method. The critical Rayleigh numbers for the onset of stationary, subcritical and oscillatory convection are determined explicitly as functions of the governing parameters for infinite layers in the absence of the external shear stress. The effect of the main governing parameters on the fluid flow and heat and mass transfer characteristics is discussed.cs201

Onset of Convection and Finite Amplitude Flow due to Soret Effect within a Horizontal Sparsely Packed Porous Enclosure Heated from Below

NRC publication: Ye

Soret Effect Inducing Subcritical and Hopf Bifurcations in a Shallow Enclosure Filled with a Clear Binary Fluid or a Saturated Porous Medium: A Comparative Study

NRC publication: Ye

Hydrodynamic Boundary Conditions Effects on Soret Driven Thermosolutal Convection in a Shallow Porous Enclosure

NRC publication: Ye

Stability Analysis and Bifurcations in Soret Convection within a Shallow Porous Enclosure

Peer reviewed: YesNRC publication: Ye

On Stability Analysis of Soret Convection within a Horizontal Porous Layer: Stability Analysis using Galerkin and Finite Element Methods, Chapter 14, Kluwer Academic Publishers, printed in the Netherlands and edited by D.B. Ingham et al., 2004

NRC publication: Ye

Soret Convection in a Shallow Porous Cavity submitted to Uniform Fluxes of Heat and Mass

NRC publication: Ye