The dissolution of minute concentration of polymers in wall-bounded flows is well-known for
its unparalleled ability to reduce turbulent friction drag. Another phenomenon, elasto-inertial …

A small amount of polymer additives can cause substantial reduction in the energy
dissipation and friction loss of turbulent flow. The problem of polymer-induced drag …

Transient growth and resolvent analyses are routinely used to assess nonasymptotic
properties of fluid flows. In particular, resolvent analysis can be interpreted as a special case …

The Oldroyd-B model has been used extensively to predict a host of instabilities in shearing
flows of viscoelastic fluids, often realized experimentally using polymer solutions. The …

Newtonian pipe flow is known to be linearly stable at all Reynolds numbers. We report, for
the first time, a linear instability of pressure-driven pipe flow of a viscoelastic fluid, obeying …

Weakly nonlinear analysis of the viscoelastic instability in channel flow for finite and vanishing
Reynolds numbers Page 1 J. Fluid Mech. (2022), vol. 940, A11, doi:10.1017/jfm.2022.222 …

The interplay between viscoelasticity and inertia in dilute polymer solutions at high
deformation rates can result in inertioelastic instabilities. The nonlinear evolution of these …

Orderly, or natural, transition to turbulence in dilute polymeric channel flow is studied using
direct numerical simulations of a FENE-P fluid. Three Weissenberg numbers are simulated …

This work introduces a mathematical approach to analysing the polymer dynamics in
turbulent viscoelastic flows that uses a new geometric decomposition of the conformation …

The viscoelastic analogue to the Newtonian Orr amplification mechanism is examined using
linear theory. A weak, two-dimensional Gaussian vortex is superposed onto a uniform …