scholarly journals Limit of the buoyancy ratio in Boussinesq approximation for double-diffusive convection in binary mixture

2021 ◽  
Vol 33 (3) ◽  
pp. 036101
Author(s):  
Saber Hamimid ◽  
Messaoud Guellal ◽  
Madiha Bouafia
Keyword(s):  
Binary Mixture ◽  
Boussinesq Approximation ◽  
Double Diffusive Convection ◽  
Diffusive Convection ◽  
Buoyancy Ratio ◽  
Double Diffusive

Effect of the Buoyancy Ratio on Oscillatory Double-Diffusive Convection in Binary Mixture

2014 ◽  
Vol 66 (8) ◽  
pp. 928-946 ◽  
Author(s):  
Badia Ghernaout ◽  
Saїd Bouabdallah ◽  
Ahmed Benchatti ◽  
Rachid Bessaїh
Keyword(s):  
Binary Mixture ◽  
Double Diffusive Convection ◽  
Diffusive Convection ◽  
Buoyancy Ratio ◽  
Double Diffusive

Double–diffusive convection in a porous medium with a concentration based internal heat source

2005 ◽  
Vol 461 (2054) ◽  
pp. 561-574 ◽  
Author(s):  
Antony A. Hill
Keyword(s):  
Heat Source ◽  
Linear Theory ◽  
Internal Heat ◽  
Internal Heat Source ◽  
Boussinesq Approximation ◽  
Double Diffusive Convection ◽  
Diffusive Convection ◽  
Saturated Porous Layer ◽  
Linear And Nonlinear ◽  
Double Diffusive

Linear and nonlinear stability analyses of double–diffusive convection in a fluid–saturated porous layer with a concentration based internal heat source are studied. Darcy's law and the Boussinesq approximation are employed, with the equation of state taken to be linear with respect to temperature and concentration. Both the numerical and analytical analysis for the linear theory strongly suggest the presence of a critical value γ c , where γ is essentially a measure of the internal heat source, for which no oscillatory convection occurs when γ c ⩽ γ . This, in the present literature, appears to be an unobserved phenomenon. A nonlinear energy stability analysis demonstrates more comparable linear and nonlinear thresholds when the linear theory predicts the onset of fully stationary convection. However, irrespective of the γ value, the agreement of the thresholds does deteriorate as the solute Rayleigh number R c increases.

Effects of magnetic field on 3D double diffusive convection in a cubic cavity filled with a binary mixture

2013 ◽  
Vol 49 ◽  
pp. 86-95 ◽  
Author(s):  
Chemseddine Maatki ◽  
Lioua Kolsi ◽  
Hakan F Oztop ◽  
Ali Chamkha ◽  
M. Naceur Borjini ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Binary Mixture ◽  
Double Diffusive Convection ◽  
Diffusive Convection ◽  
Double Diffusive

Liquid-Liquid Mixing Due to G-Jitter in Microgravity

2002 ◽  
Author(s):  
C. Benjapiyaporn ◽  
V. Timchenko ◽  
S. S. Leong ◽  
G. de Vahl Davis ◽  
E. Leonardi
Keyword(s):  
Numerical Simulation ◽  
Vertical Wall ◽  
Double Diffusive Convection ◽  
Low Gravity ◽  
Diffusive Convection ◽  
Higher Temperature ◽  
Miscible Liquids ◽  
Range Of Values ◽  
Buoyancy Ratio ◽  
Double Diffusive

This paper describes a study of double diffusive convection inside a rectangular cavity in low gravity; it arose out of a much broader study of solidification of a binary alloy in microgravity. The cavity initially contained two different but miscible liquids meeting at a sharp vertical interface at the middle of a cavity. One vertical wall was kept at a uniform low temperature, while the opposite wall was at a uniform higher temperature. The top and bottom walls were adiabatic. All walls were impermeable. A numerical simulation was made of the induced convection and mixing for a range of values of buoyancy ratio and gravity characteristics, including both steady g and g-jitter.

Investigating Double Diffusive Convection in an Inclined Rectangular Porous Enclosure Subjected to Magnetic Field

2009 ◽  
Author(s):  
Behnam Moghadassian ◽  
Pooyan Razi ◽  
Hossein Shokouhmand
Keyword(s):  
Magnetic Field ◽  
Mass Transfer ◽  
Flow Characteristics ◽  
Darcy Number ◽  
Double Diffusive Convection ◽  
Diffusive Convection ◽  
Dimensional Parameters ◽  
The Magnetic Field ◽  
Buoyancy Ratio ◽  
Double Diffusive

The problem of double diffusive convection in an inclined rectangular enclosure filled with a uniform porous medium at the presence of magnetic field has been studied. The constant temperature and concentration are imposed along two opposing walls, while the other two walls are adiabatic and impermeable to mass transfer. Non-dimensional governing equations are solved using the finite difference method. The representative results illustrates streamline, temperature, concentration and density contours as well as non-dimensional parameters of heat and mass transfer versus changes in magnitude and direction of magnetic field, buoyancy ratio, Darcy number and inclination angle of the enclosure. One of the main results is that average Nusselt and Sherwood numbers and flow characteristics depend significantly on the buoyancy ratio, Darcy number and direction of the magnetic field. Also it is observed that there is a decreasing trend in the average Nusselt and Sherwood numbers with increasing strength of the magnetic field.

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