Since the seminal studies by Osborne Reynolds in the nineteenth century, pipe flow has
served as a primary prototype for investigating the transition to turbulence in wall-bounded …

Turbulent flows are characterized by the non-linear cascades of energy and other inviscid
invariants across a huge range of scales, from where they are injected to where they are …

Over the past two decades percolation theory has been used to explain and model a wide
variety of phenomena that are of industrial and scientific importance. Examples include …

Transition from laminar to turbulent flow drastically changes the mixing, transport, and drag
properties of fluids, yet when and how turbulence emerges is elusive even for simple flow …

The route to turbulence in pipe flow is a complex, nonlinear, spatiotemporal process for
which an increasingly clear understanding has emerged in recent years. This paper …

Meso-scale turbulence is an innate phenomenon, distinct from inertial turbulence, that
spontaneously occurs at low Reynolds number in fluidized biological systems. This …

The breakup of drops and bubbles in turbulent fluids is a key mechanism in many
environmental and engineering processes. Even in the well-studied dilute case, quantitative …

Experiments and numerical simulations have shown that turbulence in transitional wall-
bounded shear flows frequently takes the form of long oblique bands if the domains are …

Many energy, environmental, industrial, and microfluidic processes rely on the flow of
polymer solutions through porous media. Unexpectedly, the macroscopic flow resistance …

We review the state of the art of active fluids with particular attention to hydrodynamic
continuous models and to the use of Lattice Boltzmann Methods (LBM) in this field. We …