62 citations · 151 across the 11 of their papers we have counts for
11 papers
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…
Bulldozing an immersed granular material in a confined channel
Liam C. Morrow, Oliver W. Paulin, Matthew G. Hennessy +4
The motion of an immersed granular material in a channel is characterised by complex interactions among the grains, between the grains and the permeating liquid, and between the gr…
Gas compression systematically delays the onset of viscous fingering
Liam C. Morrow, Callum Cuttle, Christopher W. MacMinn
Using gas to drive liquid from a Hele-Shaw cell leads to classical viscous fingering. Strategies for suppressing fingering have received substantial attention. For steady injection…
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…
Compression-driven viscous fingering in a radial Hele-Shaw cell
Callum Cuttle, Liam C. Morrow, Christopher W. MacMinn
The displacement of a viscous liquid by a gas within a Hele-Shaw cell is a classical problem. The gas-liquid interface is hydrodynamically unstable, forming striking finger-like pa…
Viscous fingering patterns for Hele--Shaw flow in a doubly connected geometry driven by a pressure differential or rotation
Liam C. Morrow, Nicolas De Cock, Scott W. McCue
Traditional mathematical models of Hele--Shaw flow consider the injection (or withdrawal) of an air bubble into (or from) an infinite body of viscous fluid. The most commonly studi…
Fluid-fluid phase separation in a soft porous medium
Oliver W. Paulin, Liam C. Morrow, Matthew G. Hennessy +1
Various biological and chemical processes lead to the nucleation and growth of non-wetting fluid bubbles within the pore space of a granular medium, such as the formation of gas bu…
A review of one-phase Hele-Shaw flows and a level-set method for non-standard configurations
Liam C. Morrow, Timothy J. Moroney, Michael C. Dallaston +1
The classical model for studying one-phase Hele-Shaw flows is based on a highly nonlinear moving boundary problem with the fluid velocity related to pressure gradients via a Darcy-…
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…