12 citations · 17 across the 6 of their papers we have counts for
4 papers · 1 filter
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…
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…
Exact solutions for a periodic assembly of bubbles in a Hele-Shaw channel
Giovani L. Vasconcelos, Christopher C. Green
Exact solutions are reported for a periodic assembly of bubbles steadily co-travelling in a Hele-Shaw channel. The solutions are obtained as conformal mappings from a multiply conn…
Multiple steadily translating bubbles in a Hele-Shaw channel
Christopher C. Green, Giovani L. Vasconcelos
Analytical solutions are constructed for an assembly of any finite number of bubbles in steady motion in a Hele-Shaw channel. The solutions are given in the form of a conformal map…