This review highlights the profound and unexpected ways in which viscosity varying in
space and time can affect flow. The most striking manifestations are through alterations of …

Abstract The Kelvin–Helmholtz instability of multi-component (more than two)
incompressible and immiscible fluids is studied numerically using a phase-field model. The …

The prevention of hydrodynamic instabilities can lead to important insights for understanding
the instabilities' underlying dynamics. The Rayleigh-Taylor instability that arises when a …

When a given fluid displaces another less viscous miscible one in a horizontal Hele-Shaw
cell, the displacement is stable from the viscous point of view. Nevertheless, thin stripes …

We analyse the linear stability of a reactive plane Poiseuille flow, where a reactant fluid A
overlies another reactant B in a layered fashion within a two-dimensional channel. Both …

We study the steady-state displacement of nonwetting liquid ganglia during immiscible two-
phase flows in realistic, stochastically reconstructed porous domains, focusing primarily on …

Viscous fingering patterns can form at the interface between two immiscible fluids confined
in the gap between a pair of flat plates; whenever the fluid with lower viscosity displaces the …

We study the stability of two-fluid flow through a plane channel at Reynolds numbers of 100–
1000 in the linear and nonlinear regimes. The two fluids have the same density but different …

Application of an electric field across the pressure-driven stratified flow of a pair of miscible
fluids inside a microchannel manifests interesting electrohydrodynamic (EHD) instabilities …

In this research, the impact of differing densities and viscosities of two dissolving fluids on
their mixing efficiency, as well as the effects of various excitation frequencies on the …