. . . "Worcester Polytechnic Institute" . . "2013" . "http://rightsstatements.org/vocab/InC/1.0/" . . "Tilley, Burt S." . "MS" . "Tilley, Burt S." . "Etd" . "2019-06-29T10:04:41.24317277+00:00"^^ . "Mathematical Sciences" . "etd-042513-114402" . "English" . "depositor@wpi.edu" . . "2013-04-25" . "Fisher, Charles Edward" . "2013-04-25" . . "The Effects of a Navier-Slip Boundary Condition on the Flow of Two Immiscible Fluids in a Microchannel" . "Report" . "lubrication analysis" . "laminar fluid flow" . "linear stability" . . "We consider the flow of two immiscible fluids in a thin inclined channel subject to gravity and a change in pressure. In particular, we focus on the effects of Navier slip along the channel walls on the long-wave linear stability. Of interest are two different physical scenarios. The first corresponds to two incompressible fluid layers separated by a sharp interface, while the second focuses on a more dense fluid below a compressible gas. From a lubrication analysis, we find in the first scenario that the system is stable in the zero-Reynolds number limit with the slip effects modifying the decay rate of the stable perturbation. In the case of the Rayeligh-Taylor problem, slip along the less dense fluid wall has a destabilizing effect. In the second scenario, fluid inertia is pertinent, and we find neutral stability criteria are not significantly affected with the presence of slip." . . "ActiveFedora::Aggregation::ListSource" . . . . .