The results from a series of well characterised, unstable, miscible displacement experiments
in a Hele-Shaw cell with a quarter five-spot source-sink geometry are presented, with …

When a low-viscosity fluid displaces into a higher-viscosity fluid, the liquid-liquid interface
becomes unstable causing finger-like patterns. This viscous fingering instability has been …

The viscous fingering instability, which forms when a less-viscous fluid invades a more-
viscous one within a confined geometry, is an iconic system for studying pattern formation …

The displacement of a fluid by another less viscous one in a quasi-two dimensional
geometry typically leads to complex fingering patterns. In an isotropic system, dense …

The linear stability of miscible displacement for radial source flow at infinite P\'eclet number
in a Hele-Shaw cell is calculated theoretically. The axisymmetric self-similar flow is shown to …

This paper is associated with a poster winner of a 2021 American Physical Society's Division
of Fluid Dynamics (DFD) Milton van Dyke Award for work presented at the DFD Gallery of …

The natural world is full of patterns that spontaneously emerge across length scales and
material properties. Examples range from microscopic dendritic snowflakes to macroscopic …

Nature is full of patterns that emerge spontaneously from featureless environments. From
microscopic snowflakes to coral reefs and large-scale river networks, pattern formation leads …