The onset of Darcy-Brinkman convection in a porous layer using a thermal nonequlibrium model?part I:stress-free boundaries

2003 ◽  
Vol 27 (10) ◽  
pp. 961-973 ◽  
Author(s):  
A. Postelnicu ◽  
D.A.S. Rees
Keyword(s):  
Porous Layer ◽  
Free Boundaries

scholarly journals Rayleigh-Benard Convection in Nanofluids Layer saturated in a Rotating Anisotropic Porous Medium with Feedback Control and Internal Heat Source

CFD Letters ◽  
2021 ◽  
Vol 13 (11) ◽  
pp. 1-20
Author(s):  
Izzati Khalidah Khalid ◽  
Nor Fadzillah Mohd Mokhtar ◽  
Zarina Bibi Ibrahim
Keyword(s):  
Feedback Control ◽  
Heat Source ◽  
Porous Layer ◽  
Control Strategy ◽  
Anisotropy Parameter ◽  
Internal Heat ◽  
Internal Heat Source ◽  
Free Boundaries ◽  
Rayleigh Benard Convection ◽  
Rayleigh Benard

Control strategy on Rayleigh-Benard convection in rotating nanofluids saturated in anisotropic porous layer heated from below is studied in the presence of uniformly internal heat source for rigid-rigid, free-free, and lower-rigid and upper-free boundaries. Feedback control strategy with an array of sensors situated at the top plate and actuators located at the bottom plate of the nanofluids layer are considered in this study. Linear stability analysis based on normal mode technique has been performed, the eigenvalue problem is obtained numerically by implementing the Galerkin method and computed by using Maple software. Model employed for the nanofluids includes the mechanisms of Brownian motion and thermophoresis. The problem of the onset of convective rolls instabilities in a horizontal porous layer with isothermal boundaries at unequal temperatures known as Horton-Roger-Lapwood model based on the Darcy model for the fluids flow is used. The influences of internal heat source’s strength, modified diffusivity ratio, nanoparticles concentration Darcy-Rayleigh number and nanofluids Lewis number are found to advance the onset of convection, meanwhile the mechanical anisotropy parameter, thermal anisotropy parameter, porosity, rotation, and controller effects are to slow down the process of convective instability. No visible observation on the modified particle density increment and rigid-rigid boundaries are the most stable system compared to free-free and rigid-free boundaries.

NATURAL CONVECTIVE FLOWS AND MEAN HEAT TRANSFER IN A SLOPING POROUS LAYER

1974 ◽  
Author(s):  
J. Y. Jaffrennou ◽  
S. A. Bories ◽  
M. A. Combarnous
Keyword(s):  
Heat Transfer ◽  
Porous Layer ◽  
Convective Flows
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