Chaotic oscillations of forced convection in tightly coiled ducts

Fang Liu; Liqiu Wang

doi:10.1080/00397910600762620

Chaotic oscillations of forced convection in tightly coiled ducts

Fang Liu
, Liqiu Wang

Research output: Journal article publication › Journal article › Academic research › peer-review

7 Citations (Scopus)

Abstract

The present work is on the stability of forced convection in a tightly coiled square duct of curvature ratio 0.5 in high Dean number region. Dynamic responses of multiple flows to finite random disturbances are examined by direct transient computation. It is found that physical realizable, fully developed flows evolve to chaotic oscillations at high values of Dean number. The power spectrum of these oscillating flows is constructed by empirical mode decomposition and Hilbert spectral analysis for the characteristics of chaotic oscillations. With increase of the Dean number, the temporal scale of chaotic oscillation becomes wider; high-frequency flows appear, and the energy contained in the bursts becomes stronger.

Original language	English
Pages (from-to)	179-194
Number of pages	16
Journal	Numerical Heat Transfer; Part A: Applications
Volume	51
Issue number	2
DOIs	https://doi.org/10.1080/00397910600762620
Publication status	Published - 1 Nov 2007
Externally published	Yes

ASJC Scopus subject areas

Numerical Analysis
Condensed Matter Physics

More information

10.1080/00397910600762620

Cite this

@article{d164b26209a84d4db29ffba1f93d810b,

title = "Chaotic oscillations of forced convection in tightly coiled ducts",

abstract = "The present work is on the stability of forced convection in a tightly coiled square duct of curvature ratio 0.5 in high Dean number region. Dynamic responses of multiple flows to finite random disturbances are examined by direct transient computation. It is found that physical realizable, fully developed flows evolve to chaotic oscillations at high values of Dean number. The power spectrum of these oscillating flows is constructed by empirical mode decomposition and Hilbert spectral analysis for the characteristics of chaotic oscillations. With increase of the Dean number, the temporal scale of chaotic oscillation becomes wider; high-frequency flows appear, and the energy contained in the bursts becomes stronger.",

author = "Fang Liu and Liqiu Wang",

note = "Funding Information: Received 27 June 2005; accepted 14 April 2006. The authors are indebted to Dr. T. L. Yang for his discussion on numerical methods and computer codes. Financial support from the Research Grants Council of Hong Kong (RGC) and the Outstanding Young Researcher Award of the University of Hong Kong to L.W. is gratefully acknowledged. Address correspondence to Liqiu Wang, Department of Mechanical Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong, People{\textquoteright}s Republic of China. E-mail: [email protected]",

year = "2007",

month = nov,

day = "1",

doi = "10.1080/00397910600762620",

language = "English",

volume = "51",

pages = "179--194",

journal = "Numerical Heat Transfer; Part A: Applications",

issn = "1040-7782",

publisher = "Taylor and Francis Ltd.",

number = "2",

}

TY - JOUR

T1 - Chaotic oscillations of forced convection in tightly coiled ducts

AU - Liu, Fang

AU - Wang, Liqiu

N1 - Funding Information: Received 27 June 2005; accepted 14 April 2006. The authors are indebted to Dr. T. L. Yang for his discussion on numerical methods and computer codes. Financial support from the Research Grants Council of Hong Kong (RGC) and the Outstanding Young Researcher Award of the University of Hong Kong to L.W. is gratefully acknowledged. Address correspondence to Liqiu Wang, Department of Mechanical Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong, People’s Republic of China. E-mail: [email protected]

PY - 2007/11/1

Y1 - 2007/11/1

N2 - The present work is on the stability of forced convection in a tightly coiled square duct of curvature ratio 0.5 in high Dean number region. Dynamic responses of multiple flows to finite random disturbances are examined by direct transient computation. It is found that physical realizable, fully developed flows evolve to chaotic oscillations at high values of Dean number. The power spectrum of these oscillating flows is constructed by empirical mode decomposition and Hilbert spectral analysis for the characteristics of chaotic oscillations. With increase of the Dean number, the temporal scale of chaotic oscillation becomes wider; high-frequency flows appear, and the energy contained in the bursts becomes stronger.

AB - The present work is on the stability of forced convection in a tightly coiled square duct of curvature ratio 0.5 in high Dean number region. Dynamic responses of multiple flows to finite random disturbances are examined by direct transient computation. It is found that physical realizable, fully developed flows evolve to chaotic oscillations at high values of Dean number. The power spectrum of these oscillating flows is constructed by empirical mode decomposition and Hilbert spectral analysis for the characteristics of chaotic oscillations. With increase of the Dean number, the temporal scale of chaotic oscillation becomes wider; high-frequency flows appear, and the energy contained in the bursts becomes stronger.

UR - https://www.scopus.com/pages/publications/33847153871

U2 - 10.1080/00397910600762620

DO - 10.1080/00397910600762620

M3 - Journal article

AN - SCOPUS:33847153871

SN - 1040-7782

VL - 51

SP - 179

EP - 194

JO - Numerical Heat Transfer; Part A: Applications

JF - Numerical Heat Transfer; Part A: Applications

IS - 2

ER -

Chaotic oscillations of forced convection in tightly coiled ducts

Abstract

ASJC Scopus subject areas

More information

Other files and links

Fingerprint

Cite this