3 papers
physics.flu-dyn2021
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-…
physics.flu-dyn2019
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…
physics.flu-dyn2019
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…