Particle-laden thin-film flow in helical channels with arbitrary shallow cross-sectional shape

A numerical scheme for particle-laden thin film flow in two dimensions

The physics of particle-laden thin film flow is not fully understood, and recent experiments have raised questions with current theory. There is a need for fully two-dimensional simulations to compare with experimental data. To this end, a numerical scheme is presented for a lubrication model derived for particle-laden thin film flow in two dimensions with surface tension. The scheme relies on ...

An approximate model for slug flow heat transfer in channels of arbitrary cross section

In this paper, a novel approximate solution to determine the Nusselt number for thermally developed, slug (low-prandtl), laminar, single phase flow in channels of arbitrary cross section is presented. Using the Saint-Venant principle in torsion of beams, it is shown that the thermally developed Nusselt number for low-prandtl flow is only a function of the geometrical parameters of the channel c...

Shock Dynamics in Particle-Laden Thin Films

Film climbing of particle-laden interfaces

Recent experiments have shown that coalescence of an oil/water/nanoparticle Pickering emulsion contained in a vial induces a nanoparticle-film o climb up the walls of the vial. Here we show that this phenomenon is highly general and can be induced by a variety of particle types, particle izes ranging from a few nm to a few m, and different emulsion types. Many of the features of film growth des...

Linear stability of particle-laden thin films

Recent experiments [Zhou, Dupuy, Bertozzi, and Hosoi, Phys. Rev. Lett., 94 (2005)] of particle-laden film flow on an incline demonstrate new behavior distinct from the well-known clear fluid case, including the formation of a particle-rich ridge which can stabilize the advancing contact line with respect to “fingering” perturbations. We consider a model similar to that of Zhou et al. with the a...