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Mathematical Problems in Engineering
Volume 2018 (2018), Article ID 7946078, 12 pages
https://doi.org/10.1155/2018/7946078
Research Article

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

1Faculty of Sciences Semlalia, Department of Physics, LMFE, BP 2390, Marrakesh, Morocco
2National School of Applied Sciences, Physics Department, LMFE, BP 575, Marrakesh, Morocco
3High School of Technology, Cadi Ayyad University, LMFE, Essaouira, Morocco

Correspondence should be addressed to M. Hasnaoui

Received 30 August 2017; Accepted 17 December 2017; Published 12 February 2018

Academic Editor: Filippo de Monte

Copyright © 2018 A. Lagra et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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 -Du plane corresponding to different parallel flow regimes. The number, the extent, and the locations of these regions depend on whether or . Conjugate effects of cross-phenomena on thresholds of fluid flow and heat and mass transfer characteristics are illustrated and discussed.