Elastic Turbulence

Chaos in polymer solutions at low Reynolds number

Flow Parameters

Wi = 8.0 — Turbulent regime
Elastic turbulence occurs in dilute polymer solutions at low Reynolds number — driven not by inertia but by elastic stresses in stretched polymer chains.

The Weissenberg number Wi = τ·γ̇ compares relaxation time τ to flow timescale. Above a critical Wi ≈ 3–5, polymer coils stretch chaotically, creating random vortices and mixing far exceeding Newtonian flows.

Discovered by Groisman & Steinberg (2000), elastic turbulence enables efficient mixing in microfluidics without inertial forces.