4 papers · 1 filter
Thin filaments in Hele-Shaw cells
Nitay Ben-Shachar, Michael C. Dallaston, Scott W. McCue
Using a recently derived filament model, the stability of fluid filaments in Hele-Shaw cells, driven by a constant pressure gradient, is studied. It is found that thin circular fil…
Long-time emergent dynamics of liquid films undergoing thermocapillary instability
Steven A Kedda, Michael C Dallaston, Scott W McCue
The study of viscous thin film flow has led to the development of highly nonlinear partial differential equations that model how the evolution of the film height is affected by dif…
Two-interface and thin filament approximation in Hele--Shaw channel flow
Michael C Dallaston, Michael J W Jackson, Liam C Morrow +1
When a viscous fluid partially fills a Hele--Shaw channel, and is pushed by a pressure difference, the fluid interface is unstable due to the Saffman--Taylor instability. We consid…
Capillary levelling of thin liquid films of power-law rheology
Michael C Dallaston
We find solutions that describe the levelling of a thin fluid film, comprising a non-Newtonian power-law fluid, that coats a substrate and evolves under the influence of surface te…