All Outputs (3)

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.