94 citations · 254 across the 16 of their papers we have counts for
17 papers
Rayleigh-Bénard instability in a horizontal porous layer with anomalous diffusion
Antonio Barletta
The analysis of the Rayleigh-Bénard instability due to the mass diffusion in a fluid-saturated horizontal porous layer is reconsidered. The standard diffusion theory based on the v…
Temporal to Spatial Instability in a Flow System: A Comparison
Antonio Barletta
The definitions of temporal instability and of spatial instability in a flow system are comparatively surveyed. The simple model of one-dimensional Burgers' flow is taken as the sc…
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…
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…
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…
The Boussinesq approximation for buoyant flows
Antonio Barletta
The aim of this communication is to present a simplified, yet rigorous, deduction of the Boussinesq approximated governing equations for buoyant flows. In order to carry out the co…
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…
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…
Time-Evolving to Space-Evolving Thermal Instability of a Porous Medium Flow
Antonio Barletta
The Rayleigh-Bénard instability of the stationary throughflow in a horizontal porous layer, also known as Prats' problem, is here analysed in a fresh new perspective. In fact, the…
Thermal instability of the buoyant flow in a vertical cylindrical porous layer with a uniform internal heat source
A. Barletta, D. A. S. Rees, B. Pulvirenti
The buoyancy-induced parallel flow in a vertical cylindrical porous layer is analysed. A radial thermal gradient caused by a uniformly distributed heat source is assumed to induce…
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…
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…
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…
Transition to Absolute Instability for (not so) Dummies
Antonio Barletta, Leonardo Santos de Brito Alves
These notes are intended as an elementary introduction to the concept of absolute instability. The transition from convective instability to absolute instability is an important is…
An Introduction to Quantum Mechanics ... for those who dwell in the macroscopic world
Antonio Barletta
There is a huge number of excellent and comprehensive textbooks on quantum mechanics. They mainly differ for the approach, more or less oriented to the formalism rather than to the…
Local energy balance, specific heats and the Oberbeck-Boussinesq approximation
A. Barletta
A thermodynamic argument is proposed in order to discuss the most appropriate form of the local energy balance equation within the Oberbeck-Boussinesq approximation. The study is d…
A rigorous definition of mass in special relativity
Enzo Zanchini, Antonio Barletta
The axiomatic definition of mass in classical mechanics, outlined by Mach in the second half of 19th century and improved by several authors, is simplified and extended to the theo…