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
type: Item
instance of: scholarly article
title: 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
zbMATH Open document ID: 1427.76245
DOI: 10.1155/2018/7946078
author: A. Lagra
author: M. Bourich
author: M. Hasnaoui
author: Abdelkhalk Amahmid
author: Mohammed Er-Raki
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: 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 \(\text{SrDu} > -(1 + \text{Le}^2) / 2 \text{Le}^2 = f(\text{Le})\) or \(\text{SrDu} < -(1 + \text{Le}^2) / 2 \text{Le}^2\). Conjugate effects of cross-phenomena on thresholds of fluid flow and heat and mass transfer characteristics are illustrated and discussed.
Mathematics Subject Classification ID: 76Rxx
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 7019516
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/7946078
OpenAlex ID: W2794242676
cites work: Convection in Porous Media
cites work: Q4597626
cites work: 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
cites work: Anisotropic thermoconvective effects on the onset of double diffusive convection in a porous medium
cites work: An analytical study of linear and nonlinear double diffusive convection in a fluid saturated anisotropic porous layer with Soret effect
cites work: Heat and mass transfer for Soret and Dufour's effects on Hiemenz flow through porous medium onto a stretching surface
cites work: Heat and mass transfer for Sorét and Dufour's effect on mixed convection boundary layer flow over a stretching vertical surface in a porous medium filled with a viscoelastic fluid
description: scientific article; zbMATH DE number 7019516