scholarly journals Thermosolutal convection in a horizontal porous layer heated from below in the presence of a horizontal through flow

2008 ◽  
Vol 20 (4) ◽  
pp. 044109 ◽  
Author(s):  
D. V. Lyubimov ◽  
T. P. Lyubimova ◽  
A. Mojtabi ◽  
E. S. Sadilov
Keyword(s):  
Porous Layer ◽  
Thermosolutal Convection ◽  
Through Flow

scholarly journals The effect of temperature-dependent solubility on the onset of thermosolutal convection in a horizontal porous layer

2007 ◽  
Vol 571 ◽  
pp. 59-95 ◽  
Author(s):  
DAVID PRITCHARD ◽  
CHRIS N. RICHARDSON
Keyword(s):  
Porous Layer ◽  
Reactive Systems ◽  
Thermosolutal Convection ◽  
Effect Of Temperature ◽  
Temperature Dependent ◽  
Onset Of Convection ◽  
Diffusive Convection ◽  
Convective Cells ◽  
Bounding Surfaces ◽  
Selection Of

We consider the onset of thermosolutal (double-diffusive) convection of a binary fluid in a horizontal porous layer subject to fixed temperatures and chemical equilibrium on the bounding surfaces, in the case when the solubility of the dissolved component depends on temperature. We use a linear stability analysis to investigate how the dissolution or precipitation of this component affects the onset of convection and the selection of an unstable wavenumber; we extend this analysis using a Galerkin method to predict the structure of the initial bifurcation and compare our analytical results with numerical integration of the full nonlinear equations. We find that the reactive term may be stabilizing or destabilizing, with subtle effects particularly when the thermal gradient is destabilizing but the solutal gradient is stabilizing. The preferred spatial wavelength of convective cells at onset may also be substantially increased or reduced, and strongly reactive systems tend to prefer direct to subcritical bifurcation. These results have implications for geothermal-reservoir management and ore prospecting.

Soret driven thermosolutal convection in a shallow porous layer with a stress‐free upper surface

2005 ◽  
Vol 22 (2) ◽  
pp. 186-205 ◽  
Author(s):  
M. Er‐raki ◽  
M. Hasnaoui ◽  
A. Amahmid ◽  
M. Bourich
Keyword(s):  
Porous Layer ◽  
Thermosolutal Convection

scholarly journals Analytical and Numerical Study of Soret and Dufour Effects on Thermosolutal Convection in a Horizontal Brinkman Porous Layer with a Stress-Free Upper Boundary

2020 ◽  
Vol 2020 ◽  
pp. 1-17
Author(s):  
Ismail Filahi ◽  
Mohamed Bourich ◽  
Mohammed Hasnaoui ◽  
Abdelkhalek Amahmid
Keyword(s):  
Mass Transfer ◽  
Analytical Solution ◽  
Heat And Mass Transfer ◽  
Porous Layer ◽  
Parallel Flow ◽  
Thermosolutal Convection ◽  
Flow Intensity ◽  
And Diffusion ◽  
Buoyancy Ratio ◽  
Upper Boundary

In this paper, thermo-diffusion (Soret effect) and diffusion-thermo (Dufour effect) effects on double-diffusive natural convection induced in a horizontal Brinkman porous layer with a stress-free upper boundary are investigated. The cavity is filled with a binary fluid and subjected to uniform fluxes of heat and mass on its long sides. An analytical solution based on the parallel flow approximation is developed for the problem considered in order to allow prompt determination of the thresholds of stationary and finite amplitude solutions and also heat and mass transfer characteristics. The analytical solution is validated numerically by using a finite difference method. The combined effects of the Soret and Dufour parameters, the thermal Rayleigh number, the buoyancy ratio, and the Darcy number on the flow intensity and heat and mass transfer are illustrated graphically, and some particular behaviors observed are discussed. The analytical solution proves the existence of different regions in the buoyancy ratio-Dufour parameter plane, corresponding to different parallel flow behaviors. The number, the location, and the extent of these regions, which are impossible to predict numerically, depend strongly on Soret and Dufour parameters. The effect of thermo-diffusion and diffusion-thermo on flow intensity and heat and mass transfer is found to be important.

scholarly journals Time-periodic convective patterns in a horizontal porous layer with through-flow

2000 ◽  
Vol 58 (2) ◽  
pp. 265-281 ◽  
Author(s):  
Françoise Dufour ◽  
Marie-Christine Néel
Keyword(s):  
Porous Layer ◽  
Through Flow ◽  
Time Periodic
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