Resonance in viscous film flow over topography

Electrified viscous thin film flow over topography

Viscous flow over a chemically patterned surface.

The classical fluid dynamics boundary condition of no slip suggests that variation in the wettability of a solid should not affect the flow of an adjacent liquid. However, experiments and molecular dynamics simulations indicate that this is not the case. In this paper we show how flow over a solid substrate with variations of wettability can be described in a continuum framework using the inter...

Buoyant Instability of a Viscous Film over a Passive Fluid

In certain geophysical contexts such as lava lakes and mantle convection, a cold, viscous boundary layer forms over a deep pool. The following model problem investigates the buoyant instability of the layer. Beneath a shear-free horizontal boundary, a thin layer (thickness d1) of very viscous fluid overlies a deep layer of less dense, much less viscous fluid; inertia and surface tension are neg...

Film flow dominated simultaneous flow of two viscous incompressible fluids through a porous medium

*Correspondence: Olav Aursjø and Knut J. Måløy, Department of Physics, University of Oslo, PO Box 1048 Blindern, NO-0316 Oslo, Norway e-mail: [email protected]; [email protected] We present an experimental study of two-phase flow in a quasi-two-dimensional porous medium. The two phases, a water-glycerol solution and a commercial food grade rapeseed/canola oil, having an oil to water-gly...

Flow of evaporating, gravity-driven thin liquid films over topography

The effect of topography on the free surface and solvent concentration profiles of an evaporating thin film of liquid flowing down an inclined plane is considered. The liquid is assumed to be composed of a resin dissolved in a volatile solvent with the associated solvent concentration equation derived on the basis of the well-mixed approximation. The dynamics of the film is formulated as a lubr...