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Viscous fingering as a paradigm of interfacial pattern formation: Recent results and new challenges
J Casademunt - Chaos: An Interdisciplinary Journal of Nonlinear …, 2004 - pubs.aip.org
We review recent results on dynamical aspects of viscous fingering. The Saffman–Taylor
instability is studied beyond linear stability analysis by means of a weakly nonlinear analysis …
instability is studied beyond linear stability analysis by means of a weakly nonlinear analysis …
A review of one-phase Hele-Shaw flows and a level-set method for nonstandard configurations
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 …
moving boundary problem with the fluid velocity related to pressure gradients via a Darcy …
Surprises in viscous fingering
In this paper, we review some aspects of viscous fingering in a Hele-Shaw cell that at first
sight appear to defy intuition. These include singular effects of surface tension relative to the …
sight appear to defy intuition. These include singular effects of surface tension relative to the …
Bubble motion in a Hele–Shaw cell
The shapes and motion of immiscible bubbles in a Hele–Shaw cell driven by the motion of
the surrounding fluid were studied. Six classes of steady shapes, some of which are …
the surrounding fluid were studied. Six classes of steady shapes, some of which are …
Boundary element analysis of the time-dependent motion of a semi-infinite bubble in a channel
We present a boundary element method to investigate the time-dependent translation of a
two-dimensional bubble in a channel of width 2a containing a fluid of viscosity μ and surface …
two-dimensional bubble in a channel of width 2a containing a fluid of viscosity μ and surface …
A diffuse-interface model for electrowetting drops in a Hele-Shaw cell
Electrowetting has recently been explored as a mechanism for moving small amounts of
fluids in confined spaces. We propose a diffuse-interface model for drop motion, due to …
fluids in confined spaces. We propose a diffuse-interface model for drop motion, due to …
Analytic theory for the selection of a symmetric Saffman–Taylor finger in a Hele–Shaw cell
An analytic theory is presented for the selection mechanism of a symmetric finger with a
discrete set of possible width from a continuum of nonsymmetric Saffman–Taylor finger …
discrete set of possible width from a continuum of nonsymmetric Saffman–Taylor finger …
Air bubble migration in a granular porous medium: Experimental studies
To provide insight into the mechanism of bubble migration in in situ air sparging in a coarse
porous medium, the rise of air bubbles through a granular porous medium is studied through …
porous medium, the rise of air bubbles through a granular porous medium is studied through …
Multiple scales in streamer discharges, with an emphasis on moving boundary approximations
Streamer discharges determine the very first stage of sparks or lightning, and they govern
the evolution of huge sprite discharges above thunderclouds as well as the operation of …
the evolution of huge sprite discharges above thunderclouds as well as the operation of …
Droplet migration in a Hele–Shaw cell: Effect of the lubrication film on the droplet dynamics
Droplet migration in a Hele–Shaw cell is a fundamental multiphase flow problem which is
crucial for many microfluidics applications. We focus on the regime at low capillary number …
crucial for many microfluidics applications. We focus on the regime at low capillary number …