English

Kolmogorovian turbulence in transitional pipe flows

Fluid Dynamics 2017-01-17 v1

Abstract

As everyone knows who has opened a kitchen faucet, pipe flow is laminar at low flow velocities and turbulent at high flow velocities. At intermediate velocities there is a transition wherein plugs of laminar flow alternate along the pipe with "flashes" of a type of fluctuating, non-laminar flow which remains poorly known. We show experimentally that the fluid friction of flash flow is diagnostic of turbulence. We also show that the statistics of flash flow are in keeping with Kolmogorov's phenomenological theory of turbulence (so that, e.g., the energy spectra of both flash flow and turbulent flow satisfy small-scale universality). We conclude that transitional pipe flows are two- phase flows in which one phase is laminar and the other, carried by flashes, is turbulent in the sense of Kolmogorov.

Keywords

Cite

@article{arxiv.1701.04048,
  title  = {Kolmogorovian turbulence in transitional pipe flows},
  author = {Rory T. Cerbus and Chien-chia Liu and Gustavo Gioia and Pinaki Chakraborty},
  journal= {arXiv preprint arXiv:1701.04048},
  year   = {2017}
}

Comments

Supplemental Material included

R2 v1 2026-06-22T17:50:33.298Z