52 citations · 164 across the 13 of their papers we have counts for
13 papers
Soft matter physics of the ground beneath our feet
Anne Voigtländer, Morgane Houssais, Karol A. Bacik +24
Inspired by presentations by the authors during a workshop organized at the Princeton Center for Theoretical Science (PCTS) in January 2022, we present a perspective on some of the…
Topological Data Analysis Detects Percolation Thresholds in Arctic Melt-Pond Evolution
Wilfred Offord, Michael Coughlan, Ian J. Hewitt +2
During the summer melt period, ponds form on the surface of Arctic sea ice as it melts, with important consequences for ice evolution and marine ecology. Due to the ice-albedo feed…
Bendocapillary Instability of Liquid in a Flexible-Walled Channel
Alexander T. Bradley, Ian J. Hewitt, Dominic Vella
We study the bendocapillary instability of a liquid droplet that part fills a flexible walled channel. Inspired by experiments in which a `weaving' pattern emerges as droplets of l…
Numerical approximation of viscous contact problems applied to glacial sliding
Gonzalo G. de Diego, Patrick E. Farrell, Ian J. Hewitt
Viscous contact problems describe the time evolution of fluid flows in contact with a surface from which they can detach and reattach. These problems are of particular importance i…
On the finite element approximation of a semicoercive Stokes variational inequality arising in glaciology
Gonzalo G. de Diego, Patrick E. Farrell, Ian J. Hewitt
Stokes variational inequalities arise in the formulation of glaciological problems involving contact. We consider the problem of a two-dimensional marine ice sheet with a grounding…
Droplet trapping in bendotaxis caused by contact angle hysteresis
Alexander T. Bradley, Ian J. Hewitt, Dominic Vella
Passive droplet transport mechanisms, in which continuous external energy input is not required for motion, have received significant attention in recent years. Experimental studie…
Compositional layering in Io driven by magmatic segregation and volcanism
Dan C. Spencer, Richard F. Katz, Ian J. Hewitt +2
Magmatic segregation and volcanic eruptions transport tidal heat from Io's interior to its surface. Several observed eruptions appear to be extremely high temperature ( 1600…
Tidal controls on the lithospheric thickness and topography of Io from magmatic segregation and volcanism modelling
Dan C Spencer, Richard F Katz, Ian J Hewitt
Tidal heating is expected to impart significant, non-spherically-symmetric structure to Jupiter's volcanic moon Io. A signature of spatially variable tidal heating is generally sou…
Wettability-independent droplet transport by \emph{Bendotaxis}
Alexander T. Bradley, Finn Box, Ian J. Hewitt +1
We demonstrate \textit{bendotaxis}, a novel mechanism for droplet self-transport at small scales. A combination of bending and capillarity in a thin channel causes a pressure gradi…
Optimal control of diffuser shapes for confined turbulent shear flows
GP Benham, IJ Hewitt, CP Please +1
A model for the development of turbulent shear flows, created by non-uniform parallel flows in a confining channel, is used to identify the diffuser shape that maximises pressure r…
Turbulent shear layers in confining channels
GP Benham, AA Castrejon-Pita, IJ Hewitt +3
We present a simple model for the development of shear layers between parallel flows in confining channels. Such flows are important across a wide range of topics from diffusers, n…
A Mathematical Model of the Rainwater Flows in a Green Roof
Catherine Adley, Mark Cooker, Gemma Fay +5
A model is presented for the gravity-driven flow of rainwater descending through the soil layer of a green roof, treated as a porous medium on a flat permeable surface representing…
A Mathematical Model for Flash Sintering
Andrew A. Lacey, Ian J. Hewitt, Richard I. Todd
A mathematical model is presented for the Joule heating that occurs in a ceramic powder compact during the process of flash sintering. The ceramic is assumed to have an electrical…