activity
20202025
most citedOn the use and misuse of the Oberbeck-Boussinesq approximation

25 citations · 91 across the 12 of their papers we have counts for

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physics.flu-dyn2025

Mixed convection and onset of instability due to asymmetric wall heat fluxes in a porous channel

A. Barletta, M. Celli, P. V. Brandão

The problem of convective instability onset in a horizontal porous channel is explored. The channel's impermeable walls are heated with asymmetric thermal conditions modelled throu…

physics.flu-dyn2025

Wall roughness and viscous dissipation effects in microchannel heat sinks with semicircular cross-section

A. Barletta, M. Celli, P. V. Brandão

A statistical analysis of the wall roughness effect is carried out to determine the impact of the shape uncertainty on the Poiseuille number and Nusselt number of laminar forced co…

physics.flu-dyn2024

Laminar forced convection characteristics in a round microchannel with shape uncertainty: effect of wall slip

L. A. Sphaier, A. Barletta, M. Celli +3

The shape of a microchannel cross-section is usually affected by a significant uncertainty due to the small hydraulic diameter. Such an uncertainty is indeed present at any scale,…

physics.flu-dyn2024

Shape uncertainty analysis of laminar forced convection in a round microchannel with viscous dissipation

A. Barletta, M. Celli, L. A. Sphaier +3

The shape of a microchannel is usually affected by a significant uncertainty due to the small size of the cross-section, comparable with the typical wall-roughness length scale. Su…

physics.flu-dyn2023★ 5 cited

Dissipation instability of Couette-like adiabatic flows in a plane channel

A. Barletta, M. Celli, S. Lazzari +1

The mixed convection flow in a plane channel with adiabatic boundaries is examined. The boundaries have an externally prescribed relative velocity defining a Couette-like setup for…

physics.flu-dyn2023★ 7 cited

Viscous heating and instability of the adiabatic buoyant flows in a horizontal channel

A. Barletta, M. Celli, D. A. S. Rees

The stability of buoyant flows occurring in the mixed convection regime for a viscous fluid in a horizontal plane-parallel channel with adiabatic walls is investigated. The basic f…

physics.flu-dyn2022★ 19 cited

Gill's problem in a sandwiched porous slab

Antonio Barletta, Michele Celli, Stefano Lazzari +1

The classical Gill's stability problem for the stationary and parallel buoyant flow in a vertical porous slab with impermeable and isothermal boundaries kept at different temperatu…

physics.flu-dyn2022★ 25 cited

On the use and misuse of the Oberbeck-Boussinesq approximation

A. Barletta, M. Celli, D. A. S. Rees

The Oberbeck-Boussinesq approximation is the most widely employed theoretical scheme for the study of natural or mixed convection flows. However, the misunderstanding of this appro…

physics.flu-dyn2022★ 9 cited

Effects of anisotropy on the transition to absolute instability in a porous medium heated from below

Michele Celli, Antonio Barletta

The emerging instability of a forced throughflow in a fluid saturated horizontal porous duct of rectangular cross section is investigated. The duct is heated from below by assuming…

physics.flu-dyn2020

Rayleigh-Bénard instability of an Ellis fluid saturating a porous medium

Michele Celli, Antonio Barletta, Pedro V. Brandão

Unlike the power-law model, the Ellis model describes the apparent viscosity of a shear-thinning fluid with no singularity in the limit of a vanishingly small shear stress. In part…

physics.flu-dyn2020★ 15 cited

On the stability of parallel flow in a vertical porous layer with annular cross-section

A. Barletta, M. Celli, D. A. S. Rees

The linear stability of buoyant parallel flow in a vertical porous layer with an annular cross-section is investigated. The vertical cylindrical boundaries are kept at different un…

physics.flu-dyn2020★ 11 cited

Buoyant flow and instability in a vertical cylindrical porous slab with permeable boundaries

A. Barletta, M. Celli, D. A. S. Rees

The basic stationary buoyant flow in a vertical annular porous passage induced by a boundary temperature difference is investigated. The vertical cylindrical boundaries are conside…