Slip boundary condition effect on double‐diffusive convection in a porous medium: Brinkman Model

The model of double‐diffusive convection in a porous medium layer was analyzed using the Brinkman model and concentration based on an internal heat source. Linear instability analysis of the model was performed. Particularly, we analyzed the effect of slip boundary conditions on the instability of t...

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Bibliographic Details
Published in:Heat transfer, Asian research Asian research, 2020-01, Vol.49 (1), p.258-268
Main Authors: Challoob, Huda A., Mathkhor, Asmaa J., Harfash, Akil J.
Format: Article
Language:English
Subjects:
Boundary conditions
Brinkman model
double‐diffusive
linear instability
Porous media
Rayleigh number
Slip
slip boundary conditions
Stability
Stability analysis
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Summary:The model of double‐diffusive convection in a porous medium layer was analyzed using the Brinkman model and concentration based on an internal heat source. Linear instability analysis of the model was performed. Particularly, we analyzed the effect of slip boundary conditions on the instability of the system. We analyzed when the instability started and computed the critical Rayleigh number as a function of the slip coefficient.
ISSN:1099-2871
1523-1496
DOI:10.1002/htj.21610