title: Inclined fluid-film flow with bottom filtration.
abstract: We investigate the interfacial instability of the steady uniform flow of a fluid-film layer down a permeable incline. A theoretical model is obtained by coupling the clear fluid flow equations governing the fluid film with Darcy's law for the filtration of fluid through the porous medium. A linear stability analysis is conducted and the effect of various parameters on the state of neutral stability is investigated. A simplified model is developed by reducing the dimensionality of the problem, which is then employed in order to determine the nonlinear effects on the stability of the equilibrium flow.
authors: Department of Mathematics, Ryerson University, Toronto, Ontario M5B 2K3, Canada.
authors: H N
authors: HN
authors: Kandel
authors: Department of Mathematics, Ryerson University, Toronto, Ontario M5B 2K3, Canada.
authors: J P
authors: JP
authors: Pascal