ON ANALOGIES BETWEEN TURBULENCE IN OPEN FLOWS AND CHAOTIC DYNAMICAL SYSTEMS.

K. R. Sreenivasan, P. J. Strykowski

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We briefly study turbulence in open flow systems in the context of concepts developed in studies of chaotic dynamical systems. Although several flows have been examined, particular attention will be focussed on the question of transition to turbulence in coiled pipes; some degree of correspondence with the Ruelle-Takens-Newhouse route to chaos is indicated. Using the Grassberger-Procaccia algorithm, the dimension of the attractor for velocity signals during and immediately after transition to turbulence has been computed. Our results, such as they are, indicate that the dimension is relatively low. Brief comments will be made on the difficulties of computing the dimension, as well as on the relevance of strange-attractor theory to fully-developed turbulence.

Original languageEnglish (US)
Title of host publicationTurbulence and chaotic phenomena in fluids
EditorsTomomasa Tatsumi
PublisherNorth-Holland
Pages191-196
Number of pages6
ISBN (Print)0444875948
StatePublished - 1984

Fingerprint

Dynamical systems
Turbulence
Chaos theory
Pipe

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Sreenivasan, K. R., & Strykowski, P. J. (1984). ON ANALOGIES BETWEEN TURBULENCE IN OPEN FLOWS AND CHAOTIC DYNAMICAL SYSTEMS. In T. Tatsumi (Ed.), Turbulence and chaotic phenomena in fluids (pp. 191-196). North-Holland.

ON ANALOGIES BETWEEN TURBULENCE IN OPEN FLOWS AND CHAOTIC DYNAMICAL SYSTEMS. / Sreenivasan, K. R.; Strykowski, P. J.

Turbulence and chaotic phenomena in fluids. ed. / Tomomasa Tatsumi. North-Holland, 1984. p. 191-196.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Sreenivasan, KR & Strykowski, PJ 1984, ON ANALOGIES BETWEEN TURBULENCE IN OPEN FLOWS AND CHAOTIC DYNAMICAL SYSTEMS. in T Tatsumi (ed.), Turbulence and chaotic phenomena in fluids. North-Holland, pp. 191-196.
Sreenivasan KR, Strykowski PJ. ON ANALOGIES BETWEEN TURBULENCE IN OPEN FLOWS AND CHAOTIC DYNAMICAL SYSTEMS. In Tatsumi T, editor, Turbulence and chaotic phenomena in fluids. North-Holland. 1984. p. 191-196
Sreenivasan, K. R. ; Strykowski, P. J. / ON ANALOGIES BETWEEN TURBULENCE IN OPEN FLOWS AND CHAOTIC DYNAMICAL SYSTEMS. Turbulence and chaotic phenomena in fluids. editor / Tomomasa Tatsumi. North-Holland, 1984. pp. 191-196
@inproceedings{9d1485459b524ababf6187c928980beb,
title = "ON ANALOGIES BETWEEN TURBULENCE IN OPEN FLOWS AND CHAOTIC DYNAMICAL SYSTEMS.",
abstract = "We briefly study turbulence in open flow systems in the context of concepts developed in studies of chaotic dynamical systems. Although several flows have been examined, particular attention will be focussed on the question of transition to turbulence in coiled pipes; some degree of correspondence with the Ruelle-Takens-Newhouse route to chaos is indicated. Using the Grassberger-Procaccia algorithm, the dimension of the attractor for velocity signals during and immediately after transition to turbulence has been computed. Our results, such as they are, indicate that the dimension is relatively low. Brief comments will be made on the difficulties of computing the dimension, as well as on the relevance of strange-attractor theory to fully-developed turbulence.",
author = "Sreenivasan, {K. R.} and Strykowski, {P. J.}",
year = "1984",
language = "English (US)",
isbn = "0444875948",
pages = "191--196",
editor = "Tomomasa Tatsumi",
booktitle = "Turbulence and chaotic phenomena in fluids",
publisher = "North-Holland",

}

TY - GEN

T1 - ON ANALOGIES BETWEEN TURBULENCE IN OPEN FLOWS AND CHAOTIC DYNAMICAL SYSTEMS.

AU - Sreenivasan, K. R.

AU - Strykowski, P. J.

PY - 1984

Y1 - 1984

N2 - We briefly study turbulence in open flow systems in the context of concepts developed in studies of chaotic dynamical systems. Although several flows have been examined, particular attention will be focussed on the question of transition to turbulence in coiled pipes; some degree of correspondence with the Ruelle-Takens-Newhouse route to chaos is indicated. Using the Grassberger-Procaccia algorithm, the dimension of the attractor for velocity signals during and immediately after transition to turbulence has been computed. Our results, such as they are, indicate that the dimension is relatively low. Brief comments will be made on the difficulties of computing the dimension, as well as on the relevance of strange-attractor theory to fully-developed turbulence.

AB - We briefly study turbulence in open flow systems in the context of concepts developed in studies of chaotic dynamical systems. Although several flows have been examined, particular attention will be focussed on the question of transition to turbulence in coiled pipes; some degree of correspondence with the Ruelle-Takens-Newhouse route to chaos is indicated. Using the Grassberger-Procaccia algorithm, the dimension of the attractor for velocity signals during and immediately after transition to turbulence has been computed. Our results, such as they are, indicate that the dimension is relatively low. Brief comments will be made on the difficulties of computing the dimension, as well as on the relevance of strange-attractor theory to fully-developed turbulence.

UR - http://www.scopus.com/inward/record.url?scp=0021540355&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0021540355&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0021540355

SN - 0444875948

SP - 191

EP - 196

BT - Turbulence and chaotic phenomena in fluids

A2 - Tatsumi, Tomomasa

PB - North-Holland

ER -