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Article
Mathematics, Applied
Lorenzo Fusi et al.
Summary: The Rayleigh-Benard problem is extensively studied in fluid mechanics. However, most existing literature focuses on fluids with constant material properties or variable viscosity and/or thermal conduction, neglecting the more realistic case with all material properties variable. This paper re-examines the onset of thermal convection for fluids with pressure and temperature-dependent material properties by investigating the linear stability of the conduction solution.
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
(2023)
Article
Mechanics
A. Barletta et al.
Summary: The stability of buoyant flows in a viscous fluid in a horizontal plane-parallel channel with adiabatic walls is investigated. The basic flow exhibits a parallel velocity field under stationary state conditions. The duality of flows, caused by the combined actions of viscous dissipation and buoyancy force, is analyzed for different mass flow rates. The stability analysis focuses on the primary branch of the dual solutions compatible with the Oberbeck-Boussinesq approximation.
Article
Mechanics
Mahesh Singh et al.
Summary: This paper analyzes the effects of the magnetic field and inertia on the onset of thermal convection in a horizontally rotating bidispersive porous layer. The Darcy equation is used to characterize the fluid motion with the same temperature in the micro- and macrophases. The eigenvalue problem obtained from linear stability analysis is solved analytically for free-free boundaries. Furthermore, machine learning techniques are introduced to examine the effect of multiple parameters on the system's marginal state.
Article
Physics, Multidisciplinary
Antonio Barletta et al.
Summary: The Oberbeck-Boussinesq approximation is commonly used for studying natural or mixed convection flows. However, misunderstandings of this approximation can lead to paradoxes or incorrect conclusions. This paper briefly reviews the basic features of the Oberbeck-Boussinesq approximation and provides three simple examples where it can be misused. These misuses result in erroneous conclusions and violations of mass conservation. The paper also discusses the Oberbeck-Boussinesq approximation as an asymptotic theory obtained by letting the product of the thermal expansion coefficient and the reference temperature difference tend to zero.
Article
Mechanics
Paolo Falsaperla et al.
Summary: In this study, the nonlinear stability of plane Couette and Poiseuille flows is investigated using the Lyapunov second method and classical L-2 energy. It is proved that the streamwise perturbations are L-2 energy stable regardless of the Reynolds number, contradicting previous research. The results suggest that the critical nonlinear Reynolds numbers are obtained from two-dimensional perturbations as theorized by Orr (1907).
EUROPEAN JOURNAL OF MECHANICS B-FLUIDS
(2022)
Article
Mechanics
Andrea Giacobbe et al.
Summary: This article investigates the stability of planar shear flows of incompressible fluids using analytical methods and Chebyshev collocation method, confirming the validity of some approaches found in the literature.
MECHANICS RESEARCH COMMUNICATIONS
(2022)
Article
Mechanics
Antonio Barletta
Summary: The aim of this paper is to present a simplified and rigorous deduction of the Boussinesq approximated governing equations for buoyant flows, along with the discussion of a simplified version of the manifold asymptotic analyses. The analysis focuses on the local balance equations applicable to general fluid, and demonstrates the leading order terms in the governing equations for the asymptotic limit. The role of viscous dissipation is also taken into account.
MECHANICS RESEARCH COMMUNICATIONS
(2022)
Article
Physics, Fluids & Plasmas
Antonio Barletta et al.
Summary: This study reveals the presence of dual flow branches in stationary mixed convection with viscous dissipation in a horizontal channel, with mathematical expressions that can be determined analytically.
Article
Thermodynamics
Y. Requile et al.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2020)
Article
Physics, Fluids & Plasmas
Paolo Falsaperla et al.
Article
Thermodynamics
Antonio Barletta
INTERNATIONAL JOURNAL OF THERMAL SCIENCES
(2015)
Article
Astronomy & Astrophysics
Takehiro Miyagoshi et al.
ASTROPHYSICAL JOURNAL LETTERS
(2014)
Article
Mechanics
A. Barletta et al.
Article
Mechanics
A. Barletta et al.
JOURNAL OF FLUID MECHANICS
(2011)
Article
Mechanics
A. Barletta et al.
JOURNAL OF FLUID MECHANICS
(2010)
Article
Mechanics
JM White et al.
JOURNAL OF FLUID MECHANICS
(2002)