19 citations · 32 across the 5 of their papers we have counts for
5 papers
Numerical study on viscous fingering using electric fields in a Hele-Shaw cell
Meng Zhao, Pedro Anjos, John Lowengrub +2
We investigate the nonlinear dynamics of a moving interface in a Hele-Shaw cell subject to an in-plane applied electric field. We develop a spectrally accurate boundary integral me…
Electrically-controlled self-similar evolution of viscous fingering patterns in radial Hele-Shaw flows
Pedro H. A. Anjos, Meng Zhao, John Lowengrub +1
Time-dependent injection strategies are commonly employed to control the number of viscous fingers emerging at the interface separating two fluids during radial displacement in Hel…
Controlling fingering instabilities in Hele-Shaw flows in the presence of wetting film effects
Pedro H. A. Anjos, M. Zhao, J. Lowengrub +2
In this paper, the interfacial motion between two immiscible viscous fluids in the confined geometry of a Hele-Shaw cell is studied. We consider the influence of a thin wetting fil…
Pattern formation of the three-layer Saffman-Taylor problem in a radial Hele-Shaw cell
M. Zhao, Pedro H. A. Anjos, J. Lowengrub +1
The three-layer Saffman-Taylor problem introduces two coupled moving interfaces separating the three fluids. A very recent weakly nonlinear analysis of this problem in a radial Hel…
Nonlinear limiting dynamics of a shrinking interface in a Hele-Shaw cell
Meng Zhao, Zahra Niroobakhsh, John Lowengrub +1
The flow in a Hele-Shaw cell with a time-increasing gap poses a unique shrinking interface problem. When the upper plate of the cell is lifted perpendicularly at a prescribed speed…