Outputs (5)

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.