D. Andrew S. Rees
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View article: The Effect of Viscous Dissipation on the Darcy–Bénard Problem: Weakly Nonlinear Analysis and Strongly Nonlinear Computations
The Effect of Viscous Dissipation on the Darcy–Bénard Problem: Weakly Nonlinear Analysis and Strongly Nonlinear Computations Open
We consider the effect of viscous dissipation on the onset and nonlinear development of two-dimensional convection in a unit enclosure heated from below. First, we show that the linear theory is unchanged from that which arises when viscou…
View article: D. A. Nield (April 26, 1935–May 25, 2024): A Scientific Memoir
D. A. Nield (April 26, 1935–May 25, 2024): A Scientific Memoir Open
Donald Arthur Nield died peacefully at Golden View Care, Cromwell, New Zealand, surrounded by family, on May 25, 2024, aged 89. He was the dearly loved husband of Rachel, cherished father and father-in-law of Cherry and Robert, Alex and Mi…
View article: Recent Advances in Fluid Mechanics: Feature Papers, 2024
Recent Advances in Fluid Mechanics: Feature Papers, 2024 Open
The present Special Issue consists of a collection of feature articles by distinct investigators and research groups discussing new findings or cutting-edge developments concerning different aspects of fluid mechanics [...]
View article: Open Boundaries, Anomalous Diffusion and the Darcy-Bénard Instability
Open Boundaries, Anomalous Diffusion and the Darcy-Bénard Instability Open
The classical problem of the Darcy-Bénard instability in a horizontal porous layer saturated by a binary fluid mixture and subject to a non-uniform solutal concentration field is revisited. In particular, a generalised anomalous diffusion …
View article: On the Use and Misuse of the Oberbeck–Boussinesq Approximation
On the Use and Misuse of the Oberbeck–Boussinesq Approximation Open
The Oberbeck–Boussinesq approximation is the most commonly employed theoretical scheme for the study of natural or mixed convection flows. However, the misunderstanding of this approximated framework is a possibility that may cause the eme…
View article: Viscous heating and instability of the adiabatic buoyant flows in a horizontal channel
Viscous heating and instability of the adiabatic buoyant flows in a horizontal channel Open
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 flow features a parallel velocity field under stationary sta…
View article: A weakly nonlinear analysis of the effect of vertical throughflow on Darcy–Bénard convection
A weakly nonlinear analysis of the effect of vertical throughflow on Darcy–Bénard convection Open
The aim of this paper is to analyze the effect of a downward vertical net mass flow on the type of instability that occurs in a horizontal fluid-saturated porous layer that is heated from below. The strength of the downflow is modelled by …
View article: Modal Selection for Inclined Darcy-Bénard Convection in a Rectangular Cavity
Modal Selection for Inclined Darcy-Bénard Convection in a Rectangular Cavity Open
Nonlinear free convection in an inclined rectangular porous cavity heated from below has been studied using a two-dimensional spectral decomposition. The code uses pseudo-arclength continuation to follow solution curves around fold bifurca…
View article: When does the onset of convection in an inclined porous layer become subcritical?
When does the onset of convection in an inclined porous layer become subcritical? Open
View article: Epistemic Uncertainties in the Assessment of Regional Soil Acidification
Epistemic Uncertainties in the Assessment of Regional Soil Acidification Open
The increasing acidification of soil due to pollution and agricultural management practices is a growing problem worldwide, where food production is already under threat by climate change, more frequent droughts, and soil nutrient depletio…
View article: Buoyant flow instability induced by a uniform internal heat source in a vertical annular porous layer
Buoyant flow instability induced by a uniform internal heat source in a vertical annular porous layer Open
View article: Free Convection of a Bingham Fluid in a Differentially-Heated Porous Cavity: The Effect of a Square Grid Microstructure
Free Convection of a Bingham Fluid in a Differentially-Heated Porous Cavity: The Effect of a Square Grid Microstructure Open
We examine how a square-grid microstructure affects the manner in which a Bingham fluid is convected in a sidewall-heated rectangular porous cavity. When the porous microstructure is isotropic, flow arises only when the Darcy–Rayleigh numb…
View article: The Influence of Bounding Plates on Species Separation in a Vertical Thermogravitational Column
The Influence of Bounding Plates on Species Separation in a Vertical Thermogravitational Column Open
In this paper, an analytical and numerical analysis of the species separation in a binary mixture is performed. The main objective is to study the influence of the thickness and the nature of the bounding plates of the thermogravitational …
View article: Thermal instability of the buoyant flow in a vertical cylindrical porous layer with a uniform internal heat source
Thermal instability of the buoyant flow in a vertical cylindrical porous layer with a uniform internal heat source Open
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 the buoyant flow. The layer boundaries are modelled as isot…
View article: On the stability of the isoflux Darcy–Bénard problem with a generalised basic state
On the stability of the isoflux Darcy–Bénard problem with a generalised basic state Open
View article: CONVECTIVE FLOW OF A BINGHAM FLUID IN INTERNALLY HEATED POROUS CAVITIES
CONVECTIVE FLOW OF A BINGHAM FLUID IN INTERNALLY HEATED POROUS CAVITIES Open
We study the onset of convection within a rectangular porous cavity which is saturated with a Bingham fluid and subjected to a uniform internal heat generation. When such a cavity is saturated by a Newtonian fluid, convection takes place a…
View article: On the Stability of Parallel Flow in a Vertical Porous Layer with Annular Cross Section
On the Stability of Parallel Flow in a Vertical Porous Layer with Annular Cross Section Open
View article: Three-Dimensional Convective Planforms for Inclined Darcy-Bénard Convection
Three-Dimensional Convective Planforms for Inclined Darcy-Bénard Convection Open
We investigate the onset of convection in an inclined Darcy-Bénard layer. When such a layer is unbounded in the spanwise direction it is generally known that longitudinal rolls comprise the most unstable planform. On the other hand, when a…
View article: Buoyant flow and instability in a vertical cylindrical porous slab with permeable boundaries
Buoyant flow and instability in a vertical cylindrical porous slab with permeable boundaries Open
View article: On the stability of parallel flow in a vertical porous layer with annular cross-section
On the stability of parallel flow in a vertical porous layer with annular cross-section Open
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 uniform temperatures and they are assumed to be impermeable. …
View article: Pattern selection for Darcy-Bénard convection with local thermal nonequilibrium
Pattern selection for Darcy-Bénard convection with local thermal nonequilibrium Open
View article: Buoyant flow and instability in a vertical cylindrical porous slab with permeable boundaries
Buoyant flow and instability in a vertical cylindrical porous slab with permeable boundaries Open
The basic stationary buoyant flow in a vertical annular porous passage induced by a boundary temperature difference is investigated. The vertical cylindrical boundaries are considered both isothermal and permeable to external fluid reservo…
View article: A Geometry Generation Framework for Contoured Endwalls
A Geometry Generation Framework for Contoured Endwalls Open
The mainstream, or primary, flow in a gas turbine annulus is characteristically two-dimensional over the midspan region of the blading, where the radial flow is almost negligible. Contrastingly, the flow in the endwall and tip regions of t…
View article: On the onset of convection in a highly permeable vertical porous layer with open boundaries
On the onset of convection in a highly permeable vertical porous layer with open boundaries Open
The unstable nature of buoyant flow in a vertical porous slab with a pure conduction temperature distribution is investigated. The permeable and isothermal boundaries are subject to a temperature difference, which is responsible for the ba…
View article: The Effect of Internal and External Heating on the Free Convective Flow of a Bingham Fluid in a Vertical Porous Channel
The Effect of Internal and External Heating on the Free Convective Flow of a Bingham Fluid in a Vertical Porous Channel Open
We study the steady free convective flow of a Bingham fluid in a porous channel where heat is supplied by both differential heating of the sidewalls and by means of a uniform internal heat generation. The detailed temperature profile is go…
View article: Onset of Convection in an Inclined Anisotropic Porous Layer with Internal Heat Generation
Onset of Convection in an Inclined Anisotropic Porous Layer with Internal Heat Generation Open
The onset of convection in an inclined porous layer which is heated internally by a uniform distribution of heat sources is considered. We investigate the combined effects of inclination, anisotropy and internal heat generation on the line…
View article: The Onset of Convection in a Two-Layered Porous Medium with Anisotropic Permeability
The Onset of Convection in a Two-Layered Porous Medium with Anisotropic Permeability Open
View article: Unsteady Free Convection Boundary Layer Flows of a Bingham Fluid in Cylindrical Porous Cavities
Unsteady Free Convection Boundary Layer Flows of a Bingham Fluid in Cylindrical Porous Cavities Open
We consider two unsteady free convection flows of a Bingham fluid when it saturates a porous medium contained within a vertical circular cylinder. The cylinder is initially at a uniform temperature, and such flows are then induced by sudde…
View article: The Inclined Wooding Problem
The Inclined Wooding Problem Open
A constant-thickness thermal boundary layer is formed by the presence of uniform suction into a constant temperature hot surface bounding a porous medium - the Wooding problem. When the hot surface lies below the porous medium, the system …
View article: The effect of conducting bounding horizontal plates on species separation in porous cavity saturated by a binary mixture
The effect of conducting bounding horizontal plates on species separation in porous cavity saturated by a binary mixture Open