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 predicte...

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Main Authors: A. Lagra, M. Bourich, M. Hasnaoui, A. Amahmid, M. Er-Raki
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2018/7946078
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spelling doaj-0564814652604c269adb39d1ef9d67e62020-11-24T23:49:32ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472018-01-01201810.1155/2018/79460787946078Analytical 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 MassA. Lagra0M. Bourich1M. Hasnaoui2A. Amahmid3M. Er-Raki4Faculty of Sciences Semlalia, Department of Physics, LMFE, BP 2390, Marrakesh, MoroccoNational School of Applied Sciences, Physics Department, LMFE, BP 575, Marrakesh, MoroccoFaculty of Sciences Semlalia, Department of Physics, LMFE, BP 2390, Marrakesh, MoroccoFaculty of Sciences Semlalia, Department of Physics, LMFE, BP 2390, Marrakesh, MoroccoHigh School of Technology, Cadi Ayyad University, LMFE, Essaouira, MoroccoCombined 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.http://dx.doi.org/10.1155/2018/7946078
collection DOAJ
language English
format Article
sources DOAJ
author A. Lagra
M. Bourich
M. Hasnaoui
A. Amahmid
M. Er-Raki
spellingShingle A. Lagra
M. Bourich
M. Hasnaoui
A. Amahmid
M. Er-Raki
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
Mathematical Problems in Engineering
author_facet A. Lagra
M. Bourich
M. Hasnaoui
A. Amahmid
M. Er-Raki
author_sort A. Lagra
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
title_short 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
title_full 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
title_fullStr 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
title_full_unstemmed 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
title_sort 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
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2018-01-01
description 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.
url http://dx.doi.org/10.1155/2018/7946078
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