In this paper, the instability of a vertical fluid motion, or throughflow, is investigated in a horizontal bidisperse porous layer that is uniformly heated from below. By means of the order-1 Galerkin approximation method, the critical Darcy–Rayleigh number for the onset of steady instability is determined in closed form. The coincidence between the linear instability threshold and the global nonlinear stability threshold, in the energy norm, is shown.
Instability of Vertical Throughflows in Bidisperse Porous Media / Capone, F.; De Luca, R.. - In: PHYSICS. - ISSN 2624-8174. - 3:4(2021), pp. 821-828. [10.3390/physics3040052]
Instability of Vertical Throughflows in Bidisperse Porous Media
Capone F.;De Luca R.
2021
Abstract
In this paper, the instability of a vertical fluid motion, or throughflow, is investigated in a horizontal bidisperse porous layer that is uniformly heated from below. By means of the order-1 Galerkin approximation method, the critical Darcy–Rayleigh number for the onset of steady instability is determined in closed form. The coincidence between the linear instability threshold and the global nonlinear stability threshold, in the energy norm, is shown.File in questo prodotto:
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