LOCAL THERMAL NON-EQUILIBRIUM AND HETEROGENEITY EFFECTS ON THE ONSET OF CONVECTION IN A LAYERED POROUS MEDIUM WITH VERTICAL THROUGHFLOW

2015 ◽  
Vol 18 (2) ◽  
pp. 125-136 ◽  
Author(s):  
Donald A. Nield ◽  
Andrey V Kuznetsov
Keyword(s):  
Porous Medium ◽  
Onset Of Convection ◽  
Heterogeneity Effects ◽  
Vertical Throughflow ◽  
Non Equilibrium

Local Thermal Non-Equilibrium and Heterogeneity Effects on the Onset of Convection in a Layered Porous Medium

2014 ◽  
Vol 102 (1) ◽  
pp. 1-13 ◽  
Author(s):  
D. A. Nield ◽  
A. V. Kuznetsov
Keyword(s):  
Porous Medium ◽  
Onset Of Convection ◽  
Heterogeneity Effects ◽  
Non Equilibrium

The Onset of Convection in a Heterogeneous Porous Medium with Vertical Throughflow

2011 ◽  
Vol 88 (2) ◽  
pp. 347-355 ◽  
Author(s):  
D. A. Nield ◽  
A. V. Kuznetsov
Keyword(s):  
Porous Medium ◽  
Heterogeneous Porous Medium ◽  
Onset Of Convection ◽  
Vertical Throughflow

The Effects of Double Diffusion and Local Thermal Non-equilibrium on the Onset of Convection in a Layered Porous Medium: Non-oscillatory Instability

2014 ◽  
Vol 107 (1) ◽  
pp. 261-279 ◽  
Author(s):  
D. A. Nield ◽  
A. V. Kuznetsov ◽  
A. Barletta ◽  
M. Celli
Keyword(s):  
Porous Medium ◽  
Double Diffusion ◽  
Oscillatory Instability ◽  
Onset Of Convection ◽  
Non Equilibrium

Three-dimensional absolute and convective instabilities at the onset of convection in a porous medium with inclined temperature gradient and vertical throughflow

2009 ◽  
Vol 641 ◽  
pp. 475-487 ◽  
Author(s):  
LEONID BREVDO
Keyword(s):  
Porous Medium ◽  
Rayleigh Number ◽  
Temperature Gradient ◽  
Three Dimensional ◽  
Onset Of Convection ◽  
Convective Instabilities ◽  
Homogeneous Porous Medium ◽  
Vertical Throughflow ◽  
Speed Of Propagation ◽  
Inclined Temperature Gradient

By using the mathematical formalism of absolute and convective instabilities, we study in this work the nature of unstable three-dimensional localized disturbances at the onset of convection in a flow in a saturated homogeneous porous medium with inclined temperature gradient and vertical throughflow. It is shown that for marginally supercritical values of the vertical Rayleigh numberRvthe destabilization has the character of absolute instability in all the cases in which the horizontal Rayleigh numberRhis zero or the Péclet numberQvis zero. In all the cases in whichRhandQvare both different from zero, at the onset of convection the instability is convective. In the latter cases, the growing emerging disturbance has locally the structure of a non-oscillatory longitudinal roll, and its group velocity points in the direction opposite the direction of the applied horizontal temperature gradient, i.e. parallel to the axis of the roll. The speed of propagation of the unstable wavepacket increases withQvand generally increases withRh.

The Onset of Convection in a Layered Porous Medium with Vertical Throughflow

2013 ◽  
Vol 98 (2) ◽  
pp. 363-376 ◽  
Author(s):  
D. A. Nield ◽  
A. V. Kuznetsov
Keyword(s):  
Porous Medium ◽  
Onset Of Convection ◽  
Vertical Throughflow

Effect of Local Thermal Non-equilibrium on the Onset of Convection in a Porous Medium Layer Saturated by a Nanofluid

2009 ◽  
Vol 83 (2) ◽  
pp. 425-436 ◽  
Author(s):  
A. V. Kuznetsov ◽  
D. A. Nield
Keyword(s):  
Porous Medium ◽  
Onset Of Convection ◽  
Medium Layer ◽  
Non Equilibrium
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