30 citations · 97 across the 20 of their papers we have counts for
6 papers · 1 filter
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 for elastic and elastic-gravity waves on flow past submerged obstacles
Christopher J. Lustri
Linearized flow past a submerged obstacle with an elastic sheet resting on the flow surface are studied in the limit that the bending length is small compared to the obstacle depth…
Kelvin wake pattern at small Froude numbers
Ravindra Pethiyagoda, Timothy J. Moroney, Christopher J. Lustri +1
The surface gravity wave pattern that forms behind a steadily moving disturbance is well known to comprise divergent waves and transverse waves, contained within a distinctive V-sh…
Selection of a Hele-Shaw bubble via exponential asymptotics
Christopher J. Lustri, Christopher C. Green, Scott W. McCue
The well-studied selection problems involving Saffman-Taylor fingers or Taylor-Saffman bubbles in a Hele-Shaw channel are prototype examples of pattern selection. Exact solutions t…
Three-dimensional capillary waves due to a submerged source with small surface tension
Christopher J. Lustri, Ravindra Pethiyagoda, S. Jonathan Chapman
Steady and unsteady linearised flow past a submerged source are studied in the small-surface-tension limit, in the absence of gravitational effects. The free-surface capillary wave…
The effect of surface tension on steadily translating bubbles in an unbounded Hele-Shaw cell
Christopher C Green, Christopher J Lustri, Scott W McCue
New numerical solutions to the so-called selection problem for one and two steadily translating bubbles in an unbounded Hele-Shaw cell are presented. Our approach relies on conform…