Outputs (39)

Penetrative convection via internal heating in anisotropic porous media (2010)
Journal Article
Capone, F., Gentile, M., & Hill, A. A. (2010). Penetrative convection via internal heating in anisotropic porous media. Mechanics Research Communications, 37(5), 441-444. https://doi.org/10.1016/j.mechrescom.2010.06.005

Penetrative convection in an anisotropic porous medium is simulated via internal heating. We consider both internal heat sources and sinks, where the porous medium has constant anisotropic thermal diffusivity and non-homogeneous permeability. Both li... Read More about Penetrative convection via internal heating in anisotropic porous media.

Sharp global nonlinear stability for a fluid overlying a highly porous material (2010)
Journal Article
Hill, A. A., & Carr, M. (2010). Sharp global nonlinear stability for a fluid overlying a highly porous material. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 466(2113), 127-140. https://doi.org/10.1098/rspa.2009.0322

The stability of convection in a two-layer system in which a layer of fluid with a temperature-dependent viscosity overlies and saturates a highly porous material is studied. Owing to the difficulties associated with incorporating the nonlinear advec... Read More about Sharp global nonlinear stability for a fluid overlying a highly porous material.

Poiseuille flow in a fluid overlying a highly porous material (2009)
Journal Article
Hill, A. A., & Straughan, B. (2009). Poiseuille flow in a fluid overlying a highly porous material. Advances in Water Resources, 32(11), 1609-1614. https://doi.org/10.1016/j.advwatres.2009.08.007

This paper investigates the instability of Poiseuille flow in a fluid overlying a highly porous material. A two layer approach is adopted, where the Darcy-Brinkman equation is employed to describe the fluid flow in the porous medium, with a tangentia... Read More about Poiseuille flow in a fluid overlying a highly porous material.

Instability of Poiseuille flow in a fluid overlying a glass bead packed porous layer (2009)
Journal Article
Hill, A. A. (2009). Instability of Poiseuille flow in a fluid overlying a glass bead packed porous layer. Acta Mechanica, 206(1-2), 95-103. https://doi.org/10.1007/s00707-008-0099-2

The instability of Poiseuille flow in a fluid overlying a glass bead packed porous layer saturated with the same fluid is studied. A three layer configuration is adopted, where a variable effective viscosity is modelled between the outer fluid and po... Read More about Instability of Poiseuille flow in a fluid overlying a glass bead packed porous layer.

A differential constraint approach to obtain global stability for radiation-induced double-diffusive convection in a porous medium (2009)
Journal Article
Hill, A. A. (2009). A differential constraint approach to obtain global stability for radiation-induced double-diffusive convection in a porous medium. Mathematical Methods in the Applied Sciences, 32(8), 914-921. https://doi.org/10.1002/mma.1073

The stability of double-diffusive porous convection with a concentration-based internal heat source is studied. Owing to the significant sensitivity of standard energy method, a highly desirable reduction in the number of required coupling parameters... Read More about A differential constraint approach to obtain global stability for radiation-induced double-diffusive convection in a porous medium.

Anisotropy and symmetry in porous media convection (2009)
Journal Article
Capone, F., Gentile, M., & Hill, A. A. (2009). Anisotropy and symmetry in porous media convection. Acta Mechanica, 208(3-4), 205-214. https://doi.org/10.1007/s00707-008-0135-2

The linear and nonlinear stability analysis of the motionless state (conduction solution) and of a vertical throughflow in an anisotropic porous medium is performed. In particular, the effect of a nonhomogeneous porosity and a constant anisotropic th... Read More about Anisotropy and symmetry in porous media convection.

Global stability for thermal convection in a fluid overlying a highly porous material (2009)
Journal Article
Hill, A. A., & Straughan, B. (2009). Global stability for thermal convection in a fluid overlying a highly porous material. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 465(2101), 207-217. https://doi.org/10.1098/rspa.2008.0303

This paper investigates the instability thresholds and global nonlinear stability bounds for thermal convection in a fluid overlying a highly porous material. A two-layer approach is adopted, where the Darcy-Brinkman equation is employed to describe... Read More about Global stability for thermal convection in a fluid overlying a highly porous material.

Penetrative convection in a fluid layer with throughflow (2008)
Journal Article
Capone, F., Gentile, M., & Hill, A. A. (2008). Penetrative convection in a fluid layer with throughflow. Ricerche di matematica, 57(2), 251-260. https://doi.org/10.1007/s11587-008-0035-8

Linear and nonlinear stability analyses of vertical throughflow in a fluid layer, where the density is quadratic in temperature, are studied. To avoid the loss of key terms a weighted functional is used in the energy analysis. Both conditional and un... Read More about Penetrative convection in a fluid layer with throughflow.

Global stability for penetrative double-diffusive convection in a porous medium (2008)
Journal Article
Hill, A. A. (2008). Global stability for penetrative double-diffusive convection in a porous medium. Acta Mechanica, 200(1-2), 1-10. https://doi.org/10.1007/s00707-007-0575-0

Linear and nonlinear stability analyses of penetrative double-diffusive convection in a porous medium are performed. Adopting a standard energy method approach yields a nonlinear threshold which is independent of the salt field. An adaptation of a ne... Read More about Global stability for penetrative double-diffusive convection in a porous medium.

Poiseuille flow in a fluid overlying a porous medium (2008)
Journal Article
Hill, A. A., & Straughan, B. (2008). Poiseuille flow in a fluid overlying a porous medium. Journal of Fluid Mechanics, 603, 137-149. https://doi.org/10.1017/S0022112008000852

This paper numerically investigates the instability of Poiseuille flow in a fluid overlying a porous medium saturated with the same fluid. A three-layer configuration is adopted. Namely, a Newtonian fluid overlying a Brinkman porous transition layer,... Read More about Poiseuille flow in a fluid overlying a porous medium.