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 …

Hydrodynamic instabilities in miscible fluids are ubiquitous, from natural phenomena up to
geological scales, to industrial and technological applications, where they represent the only …

We study the modal and non-modal linear instability of inertia-dominated channel flow of
viscoelastic fluids modelled by the Oldroyd-B and FENE-P closures. The effects of polymer …

The stability of miscible two-fluid flow in a horizontal channel is examined. The flow
dynamics are governed by the continuity and Navier–Stokes equations coupled to a …

We study buoyant displacement flows with two miscible fluids of equal viscosity in the
regime of low Atwood number and in ducts that are inclined close to horizontal. Using a …

This study provides an extension into the finite-miscibility regime of theories for interfacial
instabilities in two-fluid channel flow. When the two fluids are of high mass diffusivity, a new …

The linear stability of variable viscosity, miscible core–annular flows is investigated.
Consistent with pipe flow of a single fluid, the flow is stable at any Reynolds number when …

A viscosity stratification is considered as a possible mean to postpone the onset of transition
to turbulence in channel flow. As a prototype problem, we focus on the linear stability of …

We study the effect of buoyancy on pressure-driven flow of two miscible fluids in inclined
channels via direct numerical simulations. The flow dynamics are governed by the continuity …

We study characteristics of miscible displacement flows in inclined pipes with density-stable
configuration, meaning the lighter fluid is pumped to displace the heavier fluid downward …