---
_id: '2792'
abstract:
- lang: eng
text: Transition to turbulence in pipe flow has posed a riddle in fluid dynamics
since the pioneering experiments of Reynolds[1]. Although the laminar flow is
linearly stable for all flow rates, practical pipe flows become turbulent at large
enough flow speeds. Turbulence arises suddenly and fully without distinct steps
and without a clear critical point. The complexity of this problem has puzzled
mathematicians, physicists and engineers for more than a century and no satisfactory
explanation of this problem has been given. In a very recent theoretical approach
it has been suggested that unstable solutions of the Navier Stokes equations may
hold the key to understanding this problem. In numerical studies such unstable
states have been identified as exact solutions for the idealized case of a pipe
with periodic boundary conditions[2, 3]. These solutions have the form of waves
extending through the entire pipe and travelling in the streamwise direction at
a phase speed close to the bulk velocity of the fluid. With the aid of a recently
developed high-speed stereoscopic Particle Image Velocimetry (PIV) system, we
were able to observe transients of such unstable solutions in turbulent pipe flow[4].
author:
- first_name: Björn
full_name: Björn Hof
id: 3A374330-F248-11E8-B48F-1D18A9856A87
last_name: Hof
orcid: 0000-0003-2057-2754
- first_name: Casimir
full_name: van Doorne, Casimir W
last_name: Van Doorne
- first_name: Jerry
full_name: Westerweel, Jerry
last_name: Westerweel
- first_name: Frans
full_name: Nieuwstadt, Frans T
last_name: Nieuwstadt
citation:
ama: Hof B, Van Doorne C, Westerweel J, Nieuwstadt F. Observation of nonlinear travelling
waves in turbulent pipe flow. Fluid Mechanics and its Applications. 2006;78:109-114.
doi:10.1007/1-4020-4159-4_11
apa: Hof, B., Van Doorne, C., Westerweel, J., & Nieuwstadt, F. (2006). Observation
of nonlinear travelling waves in turbulent pipe flow. Fluid Mechanics and Its
Applications. Springer. https://doi.org/10.1007/1-4020-4159-4_11
chicago: Hof, Björn, Casimir Van Doorne, Jerry Westerweel, and Frans Nieuwstadt.
“Observation of Nonlinear Travelling Waves in Turbulent Pipe Flow.” Fluid Mechanics
and Its Applications. Springer, 2006. https://doi.org/10.1007/1-4020-4159-4_11.
ieee: B. Hof, C. Van Doorne, J. Westerweel, and F. Nieuwstadt, “Observation of nonlinear
travelling waves in turbulent pipe flow,” Fluid Mechanics and its Applications,
vol. 78. Springer, pp. 109–114, 2006.
ista: Hof B, Van Doorne C, Westerweel J, Nieuwstadt F. 2006. Observation of nonlinear
travelling waves in turbulent pipe flow. Fluid Mechanics and its Applications.
78, 109–114.
mla: Hof, Björn, et al. “Observation of Nonlinear Travelling Waves in Turbulent
Pipe Flow.” Fluid Mechanics and Its Applications, vol. 78, Springer, 2006,
pp. 109–14, doi:10.1007/1-4020-4159-4_11.
short: B. Hof, C. Van Doorne, J. Westerweel, F. Nieuwstadt, Fluid Mechanics and
Its Applications 78 (2006) 109–114.
date_created: 2018-12-11T11:59:37Z
date_published: 2006-01-18T00:00:00Z
date_updated: 2021-01-12T06:59:45Z
day: '18'
doi: 10.1007/1-4020-4159-4_11
extern: 1
intvolume: ' 78'
month: '01'
page: 109 - 114
publication: Fluid Mechanics and its Applications
publication_status: published
publisher: Springer
publist_id: '4097'
quality_controlled: 0
status: public
title: Observation of nonlinear travelling waves in turbulent pipe flow
type: journal_article
volume: 78
year: '2006'
...