All Outputs (2)

Unconditional nonlinear stability for convection in a porous medium with vertical throughflow (2007)
Journal Article
Hill, A. A. (2007). Unconditional nonlinear stability for convection in a porous medium with vertical throughflow. Acta Mechanica, 193(3-4), 197-206. https://doi.org/10.1007/s00707-007-0473-5

Linear and nonlinear stability analyses of vertical throughflow in a fluid saturated porous layer, which is modelled using a cubic Forchheimer model, are studied. To ensure unconditional nonlinear results are obtainable, and to avoid the loss of key... Read More about Unconditional nonlinear stability for convection in a porous medium with vertical throughflow.

Global stability for penetrative convection with throughflow in a porous material (2007)
Journal Article
Hill, A. A., Rionero, S., & Straughan, B. (2007). Global stability for penetrative convection with throughflow in a porous material. IMA Journal of Applied Mathematics, 72(5), 635-643. https://doi.org/10.1093/imamat/hxm036

This paper investigates penetrative convection in a layer of porous material saturated with water when there is throughflow present. The density is quadratic in temperature. A linearized instability analysis is derived and compared with a weighted no... Read More about Global stability for penetrative convection with throughflow in a porous material.