Non-linear dynamics in thermal and reactive fluid flows

Toshihisa Ueda

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

Abstract

Fundamentals of non-linear dynamics in thermal and reactive fluid flows are presented with some recent topics. The concept of phase space, attractor, dimension, Poincare section will be summarized. The mixing and reaction in a high viscous fluid in an eccentric flow system of outer cylindrical vessel and inner cylindrical rod is discussed experimentally and numerically. The very slow alternative motion of the outer vessel and inner rod induces the chaotic motion with stretching and holding of fluid element without any turbulence and perturbations which enhances the mixing. The results show that there are two regions: one is a well-mixed region, that is a chaotic region, and the other is hardly mixed island region, that is a regular region. The experimental results of complex mixing and reaction patterns coincide well with numerical results not only qualitatively but quantitatively. This indicates that the complex phenomena observed is not a random one but the deterministic one even though the phenomena observed is very complex. The mixing in the static mixer, Kenics type static mixer, is discussed which shows the chaotic mixing in the steady state flow system by elements installed in the mixer. The results show that the elements with simple structure make stretching and holding effectively and then the mixing is enhanced extensively. The non-element mixing devices are discussed as well. The results show that the periodic flow variation makes the similar effect of the elements in the static mixer. A short term forward prediction is also demonstrated, using a Bunsen flame with burner rotation. When the burner is rotated, the flame tip starts to oscillate significantly because of the effect of the centrifugal force. When the rotating speed is increased, the oscillating motion becomes complex from a limit cycle to chaotic motion. The results demonstrated that the short term forward prediction can be done by using a concept of the chaotic dynamics. Through these interesting topics, I would like to emphasize the importance of non-linear dynamics, especially chaotic dynamics, in the thermal and reactive systems.

Original languageEnglish
Title of host publicationProcedia Engineering
Pages849-856
Number of pages8
Volume56
DOIs
Publication statusPublished - 2013
Event5th Bangladesh Society of Mechanical Engineers (BSME) International Conference on Thermal Engineering, ICTE 2012 - Dhaka, Bangladesh
Duration: 2012 Dec 212012 Dec 23

Other

Other5th Bangladesh Society of Mechanical Engineers (BSME) International Conference on Thermal Engineering, ICTE 2012
CountryBangladesh
CityDhaka
Period12/12/2112/12/23

Fingerprint

Flow of fluids
Fuel burners
Stretching
Fluids
Hot Temperature
Turbulence

Keywords

  • Chaotic motion
  • Non-linear dynamics
  • Reactive system

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Ueda, T. (2013). Non-linear dynamics in thermal and reactive fluid flows. In Procedia Engineering (Vol. 56, pp. 849-856) https://doi.org/10.1016/j.proeng.2013.03.206

Non-linear dynamics in thermal and reactive fluid flows. / Ueda, Toshihisa.

Procedia Engineering. Vol. 56 2013. p. 849-856.

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

Ueda, T 2013, Non-linear dynamics in thermal and reactive fluid flows. in Procedia Engineering. vol. 56, pp. 849-856, 5th Bangladesh Society of Mechanical Engineers (BSME) International Conference on Thermal Engineering, ICTE 2012, Dhaka, Bangladesh, 12/12/21. https://doi.org/10.1016/j.proeng.2013.03.206
Ueda, Toshihisa. / Non-linear dynamics in thermal and reactive fluid flows. Procedia Engineering. Vol. 56 2013. pp. 849-856
@inproceedings{ead3d4645dac454c94a01b5d4a980117,
title = "Non-linear dynamics in thermal and reactive fluid flows",
abstract = "Fundamentals of non-linear dynamics in thermal and reactive fluid flows are presented with some recent topics. The concept of phase space, attractor, dimension, Poincare section will be summarized. The mixing and reaction in a high viscous fluid in an eccentric flow system of outer cylindrical vessel and inner cylindrical rod is discussed experimentally and numerically. The very slow alternative motion of the outer vessel and inner rod induces the chaotic motion with stretching and holding of fluid element without any turbulence and perturbations which enhances the mixing. The results show that there are two regions: one is a well-mixed region, that is a chaotic region, and the other is hardly mixed island region, that is a regular region. The experimental results of complex mixing and reaction patterns coincide well with numerical results not only qualitatively but quantitatively. This indicates that the complex phenomena observed is not a random one but the deterministic one even though the phenomena observed is very complex. The mixing in the static mixer, Kenics type static mixer, is discussed which shows the chaotic mixing in the steady state flow system by elements installed in the mixer. The results show that the elements with simple structure make stretching and holding effectively and then the mixing is enhanced extensively. The non-element mixing devices are discussed as well. The results show that the periodic flow variation makes the similar effect of the elements in the static mixer. A short term forward prediction is also demonstrated, using a Bunsen flame with burner rotation. When the burner is rotated, the flame tip starts to oscillate significantly because of the effect of the centrifugal force. When the rotating speed is increased, the oscillating motion becomes complex from a limit cycle to chaotic motion. The results demonstrated that the short term forward prediction can be done by using a concept of the chaotic dynamics. Through these interesting topics, I would like to emphasize the importance of non-linear dynamics, especially chaotic dynamics, in the thermal and reactive systems.",
keywords = "Chaotic motion, Non-linear dynamics, Reactive system",
author = "Toshihisa Ueda",
year = "2013",
doi = "10.1016/j.proeng.2013.03.206",
language = "English",
volume = "56",
pages = "849--856",
booktitle = "Procedia Engineering",

}

TY - GEN

T1 - Non-linear dynamics in thermal and reactive fluid flows

AU - Ueda, Toshihisa

PY - 2013

Y1 - 2013

N2 - Fundamentals of non-linear dynamics in thermal and reactive fluid flows are presented with some recent topics. The concept of phase space, attractor, dimension, Poincare section will be summarized. The mixing and reaction in a high viscous fluid in an eccentric flow system of outer cylindrical vessel and inner cylindrical rod is discussed experimentally and numerically. The very slow alternative motion of the outer vessel and inner rod induces the chaotic motion with stretching and holding of fluid element without any turbulence and perturbations which enhances the mixing. The results show that there are two regions: one is a well-mixed region, that is a chaotic region, and the other is hardly mixed island region, that is a regular region. The experimental results of complex mixing and reaction patterns coincide well with numerical results not only qualitatively but quantitatively. This indicates that the complex phenomena observed is not a random one but the deterministic one even though the phenomena observed is very complex. The mixing in the static mixer, Kenics type static mixer, is discussed which shows the chaotic mixing in the steady state flow system by elements installed in the mixer. The results show that the elements with simple structure make stretching and holding effectively and then the mixing is enhanced extensively. The non-element mixing devices are discussed as well. The results show that the periodic flow variation makes the similar effect of the elements in the static mixer. A short term forward prediction is also demonstrated, using a Bunsen flame with burner rotation. When the burner is rotated, the flame tip starts to oscillate significantly because of the effect of the centrifugal force. When the rotating speed is increased, the oscillating motion becomes complex from a limit cycle to chaotic motion. The results demonstrated that the short term forward prediction can be done by using a concept of the chaotic dynamics. Through these interesting topics, I would like to emphasize the importance of non-linear dynamics, especially chaotic dynamics, in the thermal and reactive systems.

AB - Fundamentals of non-linear dynamics in thermal and reactive fluid flows are presented with some recent topics. The concept of phase space, attractor, dimension, Poincare section will be summarized. The mixing and reaction in a high viscous fluid in an eccentric flow system of outer cylindrical vessel and inner cylindrical rod is discussed experimentally and numerically. The very slow alternative motion of the outer vessel and inner rod induces the chaotic motion with stretching and holding of fluid element without any turbulence and perturbations which enhances the mixing. The results show that there are two regions: one is a well-mixed region, that is a chaotic region, and the other is hardly mixed island region, that is a regular region. The experimental results of complex mixing and reaction patterns coincide well with numerical results not only qualitatively but quantitatively. This indicates that the complex phenomena observed is not a random one but the deterministic one even though the phenomena observed is very complex. The mixing in the static mixer, Kenics type static mixer, is discussed which shows the chaotic mixing in the steady state flow system by elements installed in the mixer. The results show that the elements with simple structure make stretching and holding effectively and then the mixing is enhanced extensively. The non-element mixing devices are discussed as well. The results show that the periodic flow variation makes the similar effect of the elements in the static mixer. A short term forward prediction is also demonstrated, using a Bunsen flame with burner rotation. When the burner is rotated, the flame tip starts to oscillate significantly because of the effect of the centrifugal force. When the rotating speed is increased, the oscillating motion becomes complex from a limit cycle to chaotic motion. The results demonstrated that the short term forward prediction can be done by using a concept of the chaotic dynamics. Through these interesting topics, I would like to emphasize the importance of non-linear dynamics, especially chaotic dynamics, in the thermal and reactive systems.

KW - Chaotic motion

KW - Non-linear dynamics

KW - Reactive system

UR - http://www.scopus.com/inward/record.url?scp=84891697296&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84891697296&partnerID=8YFLogxK

U2 - 10.1016/j.proeng.2013.03.206

DO - 10.1016/j.proeng.2013.03.206

M3 - Conference contribution

AN - SCOPUS:84891697296

VL - 56

SP - 849

EP - 856

BT - Procedia Engineering

ER -