62 citations · 151 across the 11 of their papers we have counts for
3 papers · 2 filters
Interfacial dynamics and pinch-off singularities for axially symmetric Darcy flow
Liam C. Morrow, Michael C. Dallaston, Scott W. McCue
We study a model for the evolution of an axially symmetric bubble of inviscid fluid in a homogeneous porous medium otherwise saturated with a viscous fluid. The model is a moving b…
Moving boundary problems for quasi-steady conduction limited melting
Liam C. Morrow, John R. King, Timothy J. Moroney +1
The problem of melting a crystal dendrite is modelled as a quasi-steady Stefan problem. By employing the Baiocchi transform, asymptotic results are derived in the limit that the cr…
Numerical investigation of controlling interfacial instabilities in non-standard Hele-Shaw configurations
Liam C. Morrow, Timothy J. Moroney, Scott W. McCue
Viscous fingering experiments in Hele-Shaw cells lead to striking pattern formations which have been the subject of intense focus among the physics and applied mathematics communit…