Wall-bounded turbulence exhibits patterns that persist in time and space: coherent
structures. These are important for transport processes and form a conceptual framework for …

Over a century of research into the origin of turbulence in wall-bounded shear flows has
resulted in a puzzling picture in which turbulence appears in a variety of different states …

Pipe flow and many other shear flows show a transition to turbulence at flow rates for which
the laminar profile is stable against infinitesimal perturbations. In this brief review the recent …

The mechanisms and universality class underlying the remarkable phenomena at the
transition to turbulence remain a puzzle 130 years after their discovery. Near the onset to …

Pipelines are used in a huge range of industrial processes involving fluids, and the ability to
accurately predict properties of the flow through a pipe is of fundamental engineering …

A modal stability analysis shows that pressure-driven pipe flow of an Oldroyd-B fluid is
linearly unstable to axisymmetric perturbations, in stark contrast to its Newtonian counterpart …

A Koopman decomposition is a powerful method of analysis for fluid flows leading to an
apparently linear description of nonlinear dynamics in which the flow is expressed as a …

Several new families of nonlinear three-dimensional travelling wave solutions to the Navier–
Stokes equation, also known as exact coherent states, are computed for Newtonian plane …

We investigate the local self-sustained process underlying spiral turbulence in counter-
rotating Taylor–Couette flow using a periodic annular domain, shaped as a parallelogram …

We study localised exact coherent structures in plane Poiseuille flow that are relative
periodic orbits. They are obtained from extended states in smaller periodically continued …