4 papers
On Prats' problem with anomalous diffusion
A. Barletta
The classical Prats' problem of flow instability in a horizontal porous channel saturated by a fluid subject to a buoyancy force is reconsidered. In the original formulation, the d…
Stabilising effect of generic anomalous diffusion independent of the Rayleigh number
Antonio Barletta, Pedro Vayssière Brandão, Florinda Capone +1
This work investigates the influence of a generic anomalous diffusion model on mass convection in a fluid-saturated porous medium, focusing on superdiffusive regimes. A mathematica…
Anomalous mass diffusion in a binary mixture and Rayleigh-Benard instability
A. Barletta, B. Straughan
The onset of the Rayleigh-Benard instability in a horizontal fluid layer is investigated by assuming the fluid as a binary mixture and the concentration buoyancy as the driving for…
Asymptotic behaviour for convection with anomalous diffusion
Brian Straughan, Antonio Barletta
We investigate the fully nonlinear model for convection in a Darcy porous material where the diffusion is of anomalous type as recently proposed by Barletta. The fully nonlinear mo…