Antony Hill's Outputs (39)

The nonlinear stability analysis of double-diffusive convection with viscous dissipation effect (2023)
Journal Article

In this article, the onset of double-diffusive convection with the effect of viscous dissipation in a horizontal fluid-saturated porous layer is examined. Two impermeable isothermal and isosolutal walls bound the porous layer, and Darcy’s law models... Read More about The nonlinear stability analysis of double-diffusive convection with viscous dissipation effect.

Thermo-convective carbon sequestration in horizontal porous layers (2019)
Journal Article

This article explores the linear and nonlinear stability of double-diffusive density-driven convection in the context of carbon sequestration in deep saline aquifers. The anisotropy, due to the thermal and solutal diffusivities, is considered in a po... Read More about Thermo-convective carbon sequestration in horizontal porous layers.

Double-diffusive convection in an inclined porous layer with a concentration-based internal heat source (2017)
Journal Article

© 2017, The Author(s). The thermosolutal instability of double-diffusive convection in an inclined fluid-saturated porous layer with a concentration-based internal heat source is investigated. The linear instability of small-amplitude perturbations t... Read More about Double-diffusive convection in an inclined porous layer with a concentration-based internal heat source.

Onset of Darcy-Brinkman convection with a uniform internal heat source and vertical throughflow (2017)
Journal Article

The problem of thermal convection in a horizontal fluid saturated porous layer is examined, where the flow is governed by the Brinkman extension of Darcy's law. A uniform internal heat source and vertical throughflow are also considered. The linear a... Read More about Onset of Darcy-Brinkman convection with a uniform internal heat source and vertical throughflow.

Double-diffusive Hadley–Prats flow in a horizontal porous layer with a concentration based internal heat source (2017)
Journal Article

© 2017 Elsevier Inc. Double-diffusive Hadley–Prats flow with a concentration based heat source is investigated through linear and non-linear stability analyses. The resultant eigenvalue problems for both theories are solved numerically using Shooting... Read More about Double-diffusive Hadley–Prats flow in a horizontal porous layer with a concentration based internal heat source.

Biogeochemistry in the scales (2017)
Book Chapter

Global environmental change is challenging our understanding of how communities as a whole interact with their physical environment. Ideally, we would model the impacts of global environmental change at a global level. However, in order to mathematic... Read More about Biogeochemistry in the scales.

An MHD couple stress fluid due to a perforated sheet undergoing linear stretching with heat transfer (2016)
Journal Article

© 2016 Elsevier Ltd We investigate an MHD couple stress liquid due to a perforated sheet undergoing linear stretching with radiation. The liquid is initially at rest with its activity is restricted by pulling the two sheet ends with parallel and iden... Read More about An MHD couple stress fluid due to a perforated sheet undergoing linear stretching with heat transfer.

Nonlinear thermal instability in a horizontal porous layer with an internal heat source and mass flow (2016)
Journal Article

© 2016, Springer-Verlag Wien. Linear and nonlinear stability analyses of Hadley–Prats flow in a horizontal fluid-saturated porous medium with a heat source are performed. The results indicate that, in the linear case, an increase in the horizontal th... Read More about Nonlinear thermal instability in a horizontal porous layer with an internal heat source and mass flow.

On the stability and uniqueness of the flow of a fluid through a porous medium (2016)
Journal Article

© 2016, The Author(s). In this short note, we study the stability of flows of a fluid through porous media that satisfies a generalization of Brinkman’s equation to include inertial effects. Such flows could have relevance to enhanced oil recovery an... Read More about On the stability and uniqueness of the flow of a fluid through a porous medium.

Convective stability of carbon sequestration in anisotropic porous media (2014)
Journal Article

© 2014 The Author(s) Published by the Royal Society. All rights reserved. The stability of convection in an anisotropic porous medium, where the solute concentration is assumed to decay via a first-order chemical reaction, is studied. This is a simpl... Read More about Convective stability of carbon sequestration in anisotropic porous media.

Simulation of three dimensional double-diffusive throughflow in internally heated anisotropic porous media (2014)
Journal Article

A model for double-diffusive convection in an anisotropic porous layer with a constant throughflow is explored, with penetrative convection being simulated via an internal heat source. The validity of both the linear instability and global nonlinear... Read More about Simulation of three dimensional double-diffusive throughflow in internally heated anisotropic porous media.

Stabilising solar ponds by utilising porous materials (2013)
Journal Article

The linear instability of a solar pond containing porous material in the lower convective zone (LCZ) is investigated. It is found that, in general, for physically realistic values, solar ponds that contain porous material are more stable than ones th... Read More about Stabilising solar ponds by utilising porous materials.

The influence of a fluid-porous interface on solar pond stability (2013)
Journal Article

The linear instability of the gradient zone of a solar pond containing a fluid-porous interface is investigated. It is found that the gradient zone can retain the same stability for lower values of the solute Rayleigh number with the introduction of... Read More about The influence of a fluid-porous interface on solar pond stability.

Double diffusive convection in a viscoelastic fluid-saturated porous layer using a thermal non-equilibrium model (2012)
Journal Article

The stability of a binary viscoelastic fluid-saturated porous layer which is heated from below is studied, where the fluid and solid phases are not in local thermal equilibrium. The modified Darcy-Oldroyd model is employed as a momentum equation, wit... Read More about Double diffusive convection in a viscoelastic fluid-saturated porous layer using a thermal non-equilibrium model.

Stability of double-diffusive convection induced by selective absorption of radiation in a fluid layer (2012)
Journal Article

Linear and nonlinear stability analyses were performed on a fluid layer with a concentration-based internal heat source. Clear bimodal behaviour in the neutral curve (with stationary and oscillatory modes) is observed in the region of the onset of os... Read More about Stability of double-diffusive convection induced by selective absorption of radiation in a fluid layer.

An operative method to obtain sharp nonlinear stability for systems with spatially dependent coefficients (2012)
Journal Article

This paper explores an operative technique for deriving nonlinear stability by studying double-diffusive porous convection with a concentration-based internal heat source. Previous stability analyses on this problem have yielded regions of potential... Read More about An operative method to obtain sharp nonlinear stability for systems with spatially dependent coefficients.

Stability of double-diffusive convection induced by selective absorption of radiation in a fluid layer (2012)
Journal Article

Linear and nonlinear stability analyses were performed on a fluid layer with a concentration-based internal heat source. Clear bimodal behaviour in the neutral curve (with stationary and oscillatory modes) is observed in the region of the onset of os... Read More about Stability of double-diffusive convection induced by selective absorption of radiation in a fluid layer.

Double-diffusive penetrative convection simulated via internal heating in an anisotropic porous layer with throughflow (2011)
Journal Article

A model for double-diffusive convection in an anisotropic porous layer with a constant throughflow is explored, with penetrative convection being simulated via an internal heat source. Both linear instability and nonlinear stability analyses are perf... Read More about Double-diffusive penetrative convection simulated via internal heating in an anisotropic porous layer with throughflow.

Penetrative convection in anisotropic porous media with variable permeability (2011)
Journal Article

The onset of penetrative convection in an anisotropic porous medium, for fluids with quadratic density law, is studied. In particular, the effects of anisotropic permeability and thermal diffusivity have been taken into account. © 2010 Springer-Verla... Read More about Penetrative convection in anisotropic porous media with variable permeability.

Nonlinear stability of the one-domain approach to modelling convection in superposed fluid and porous layers (2010)
Presentation / Conference Contribution

Studies of the nonlinear stability of fluid/porous systems have been developed very recently. A two-domain modelling approach has been adopted in previous works, but was restricted to specific configurations. The extension to the more general case of... Read More about Nonlinear stability of the one-domain approach to modelling convection in superposed fluid and porous layers.