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

scholarly journals Spatially Developing Modes: The Darcy–Bénard Problem Revisited

Physics ◽  
2021 ◽  
Vol 3 (3) ◽  
pp. 549-562
Author(s):  
Antonio Barletta
Keyword(s):  
Porous Layer ◽  
Neutral Stability ◽  
Classical Analysis ◽  
Small Perturbations ◽  
Spatial Instability ◽  
Isothermal Plane ◽  
Different Temperatures ◽  
Spatially Periodic ◽  
Time Periodic ◽  
Bénard System

In this paper, the instability resulting from small perturbations of the Darcy–Bénard system is explored. An analysis based on time–periodic and spatially developing Fourier modes is adopted. The system under examination is a horizontal porous layer saturated by a fluid. The two impermeable and isothermal plane boundaries are considered to have different temperatures, so that the porous layer is heated from below. The spatial instability for the system is defined by taking into account both the spatial growth rate of the perturbation modes and their propagation direction. A comparison with the neutral stability condition determined by using the classical spatially periodic and time–evolving Fourier modes is performed. Finally, the physical meaning of the concept of spatial instability is discussed. In contrast to the classical analysis, based on spatially periodic modes, the spatial instability analysis, involving time–periodic Fourier modes, is found to lead to the conclusion that instability occurs whenever the Rayleigh number is positive.

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
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