Outputs (39)

Simulation of three dimensional double-diffusive throughflow in internally heated anisotropic porous media (2014)
Journal Article
Harfash, A. J., & Hill, A. A. (2014). Simulation of three dimensional double-diffusive throughflow in internally heated anisotropic porous media. International Journal of Heat and Mass Transfer, 72, 609-615. https://doi.org/10.1016/j.ijheatmasstransfer.2014.01.048

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
Hill, A. A., Hill, A. A., & Carr, M. (2013). Stabilising solar ponds by utilising porous materials. Advances in Water Resources, 60, 1-6. https://doi.org/10.1016/j.advwatres.2013.07.005

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
Hill, A. A., Hill, A. A., & Carr, M. (2013). The influence of a fluid-porous interface on solar pond stability. Advances in Water Resources, 52, 1-6. https://doi.org/10.1016/j.advwatres.2012.08.009

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
Malashetty, M. S., Hill, A. A., & Swamy, M. (2012). Double diffusive convection in a viscoelastic fluid-saturated porous layer using a thermal non-equilibrium model. Acta Mechanica, 223(5), 967-983. https://doi.org/10.1007/s00707-012-0616-1

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
Wicks, T. J., & Hill, A. A. (2012). Stability of double-diffusive convection induced by selective absorption of radiation in a fluid layer. Continuum Mechanics and Thermodynamics, 24(3), 229-237. https://doi.org/10.1007/s00161-012-0234-0

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
Hill, A. A., & Malashetty, M. S. (2012). An operative method to obtain sharp nonlinear stability for systems with spatially dependent coefficients. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 468(2138), 323-336. https://doi.org/10.1098/rspa.2011.0137

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
Wicks, T. J., & Hill, A. A. (2012). Stability of double-diffusive convection induced by selective absorption of radiation in a fluid layer. Continuum Mechanics and Thermodynamics, 24(3), 229-237. https://doi.org/10.1007/s00161-012-0234-0

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
Capone, F., Gentile, M., & Hill, A. A. (2011). Double-diffusive penetrative convection simulated via internal heating in an anisotropic porous layer with throughflow. International Journal of Heat and Mass Transfer, 54(7-8), 1622-1626. https://doi.org/10.1016/j.ijheatmasstransfer.2010.11.020

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
Capone, F., Gentile, M., & Hill, A. A. (2011). Penetrative convection in anisotropic porous media with variable permeability. Acta Mechanica, 216(1-4), 49-58. https://doi.org/10.1007/s00707-010-0353-2

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)
Journal Article
Hill, A. A., & Carr, M. (2010). Nonlinear stability of the one-domain approach to modelling convection in superposed fluid and porous layers. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 466(2121), 2695-2705. https://doi.org/10.1098/rspa.2010.0014

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.