6 papers · 1 filter
Numerical simulations and universal saturation profiles for viscous fingering patterns in Hele-Shaw flow
Irio M. Coutinho, Liam C. Morrow, Scott W. McCue
Hele-Shaw flows with an interface are known to give rise to complex pattern formation, whereby the Saffman-Taylor instability triggers a viscous fingering process accompanied by ti…
Computing sessile droplet shapes on arbitrary surfaces with a new pairwise force smoothed particle hydrodynamics model
Riley M Whebell, Timothy J Moroney, Ian W Turner +2
The study of the shape of droplets on surfaces is an important problem in the physics of fluids and has applications in multiple industries, from agrichemical spraying to microflui…
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…
Mathematical models and time-frequency heat maps for surface gravity waves generated by thin ships
Nicholas R. Buttle, Ravindra Pethiyagoda, Timothy J. Moroney +4
Recent research suggests that studying the time-frequency response of ship wave signals has potential to shed light on a range of applications, such as inferring the dynamical and…
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…