Experimental investigation of laminar turbulent intermittency in pipe flow

TL;DR

This study experimentally investigates the spatial interactions of turbulent puffs in pipe flow, revealing a well-defined interaction distance that influences puff spacing and turbulence patterns, with implications for understanding shear flow intermittency.

Contribution

The paper introduces experimental methods to measure puff interaction distances and links these findings to pattern formation in other shear flows, providing new insights into turbulence intermittency.

Findings

Turbulent puffs have a well-defined interaction distance.

Puff spacing is controlled by perturbation frequency and interaction length.

The puff interaction length matches pattern wavelengths in other shear flows.

Abstract

In shear flows turbulence first occurs in the form of localized structures (puffs/spots) surrounded by laminar fluid. We here investigate such spatially intermittent flows in a pipe experiment showing that turbulent puffs have a well defined interaction distance, which sets the minimum spacing of puffs as well as the maximum observable turbulent fraction. Two methodologies are employed here. Starting from a laminar flow puffs can be created by locally injecting a jet of fluid through the pipe wall. When the perturbation is applied periodically at low frequencies, as expected, a regular sequence of puffs is observed where the puff spacing is given by the ratio of the mean flow speed to the perturbation frequency. On the other hand, at large frequencies puffs are found to interact and annihilate each other. Varying the perturbation frequency an interaction distance can be determined. In the second set of experiments, the Reynolds number is reduced suddenly from fully developed turbulence to the intermittent regime.The resulting flow reorganizes itself to a sequence of constant size puffs which, unlike in Couette and Taylor Couette flow are randomly spaced. The minimum distance between the turbulent patches is identical to the puff interaction length. The puff interaction length is found to be in excellent agreement with the wavelength of regular stripe and spiral patterns in plane Couette and Taylor-Couette flow. We propose that the same interaction mechanism is present in these flows.