51 citations · 289 across the 34 of their papers we have counts for
5 papers · 1 filter
An enthalpy-based model for the physics of ice crystal icing
Timothy Peters, Josh Shelton, Hui Tang +1
Ice crystal icing (ICI) in aircraft engines is a major threat to flight safety. Due to the complex thermodynamic and phase-change conditions involved in ICI, rigorous modelling of…
On the selection of Saffman-Taylor viscous fingers for divergent flow in a wedge
Cecile Andersen, Christopher J. Lustri, Scott W. McCue +1
We study self-similar viscous fingering for the case of divergent flow within a wedge-shaped Hele-Shaw cell. Previous authors have conjectured the existence of a countably-infinite…
Exponential asymptotics and Stokes surfaces in nonlinear three-dimensional flows
John A. Fitzgerald, Philippe H. Trinh
In this dissertation, we seek to expand the scope of work done by Lustri and Chapman (2013) in modelling 3D flow past a point source, in order to account for more general flows, wh…
Time-dependent nonlinear gravity-capillary surface waves with viscous dissipation and wind forcing
Josh Shelton, Paul Milewski, Philippe H. Trinh
We develop a time-dependent conformal method to study the effect of viscosity on steep surface waves. When the effect of surface tension is included, numerical solutions are found…
Pathologies of low-Froude free-surface flows over smoothed bodies
Yyanis Johnson-Llambias, Philippe H. Trinh
In the study of low-speed or low-Froude flows of a potential gravity-driven fluid past a wave-generating object, the traditional asymptotic expansion in powers of the Froude number…