The finger-like branching pattern that occurs when a less viscous fluid displaces a more
viscous one confined between two parallel plates has been widely studied as a classical …

Multiphase flows involving granular materials are complex and prone to pattern formation
caused by competing mechanical and hydrodynamic interactions. Here we study the …

We propose a position-space renormalization-group approach to the problem of viscous
fingering in the absence of surface tension, with arbitrary viscosity ratio between the injected …

Variable-gap Hele-Shaw flows consider viscous fluid displacements resulting from the lifting
or squeezing of the upper cell plate, while the lower plate remains at rest. Conventionally …

We study the Saffman-Taylor instability in a granular suspension formed by micrometric
beads immersed in a viscous liquid. When using an effective viscosity for the flow of the …

We report analytical results for the development of interfacial instabilities in a radial Hele-
Shaw cell in which a yield stress fluid is pushed by a Newtonian fluid of negligible viscosity …

We study experimentally spontaneous pattern formation in a dry dense granular medium
invaded by an aqueous glycerin solution in a radial Hele-Shaw cell. By varying the invading …

Abstract The Saffman–Taylor fingering instability arises when a less viscous fluid displaces
a more viscous one inside porous media, which has been extensively studied for decades …

The displacement of a high-viscosity non-Newtonian fluid by a low-viscosity Newtonian fluid
in a Hele-Shaw cell is capable of producing ramified viscous-fingering patterns exhibiting …

The injection of a fluid into another of larger viscosity in a Hele-Shaw cell usually results in
the formation of highly branched patterns. Despite the richness of these structures, in many …