On three-dimensional quasiperiodic Floquet instabilities of two-dimensional bluff body wakes

H. M. Blackburn; Juan Lopez

doi:10.1063/1.1591771

On three-dimensional quasiperiodic Floquet instabilities of two-dimensional bluff body wakes

H. M. Blackburn, Juan Lopez

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-review

107 Scopus citations

Abstract

Previous studies dealing with Floquet secondary stability analysis of the wakes of circular and square cross-section cylinders have shown that there are two synchronous instability modes, with long (mode A) and short (mode B) spanwise wavelengths. At intermediate wavelengths another mode arises, which reaches criticality at Reynolds numbers higher than modes A or B. Here we concentrate on these intermediate-wave number modes for the wakes of circular and square cylinders. It is found that in both cases these modes possess complex-conjugate pair Floquet multipliers, and can be combined to produce either standing or traveling waves. Both these states are quasiperiodic.

Original language	English (US)
Pages (from-to)	L57-L60
Journal	Physics of Fluids
Volume	15
Issue number	8
DOIs	https://doi.org/10.1063/1.1591771
State	Published - Aug 2003

ASJC Scopus subject areas

Computational Mechanics
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Fluid Flow and Transfer Processes

Access to Document

10.1063/1.1591771

Cite this

@article{9d09f715061c4d3d963eba1688d23853,

title = "On three-dimensional quasiperiodic Floquet instabilities of two-dimensional bluff body wakes",

abstract = "Previous studies dealing with Floquet secondary stability analysis of the wakes of circular and square cross-section cylinders have shown that there are two synchronous instability modes, with long (mode A) and short (mode B) spanwise wavelengths. At intermediate wavelengths another mode arises, which reaches criticality at Reynolds numbers higher than modes A or B. Here we concentrate on these intermediate-wave number modes for the wakes of circular and square cylinders. It is found that in both cases these modes possess complex-conjugate pair Floquet multipliers, and can be combined to produce either standing or traveling waves. Both these states are quasiperiodic.",

author = "Blackburn, {H. M.} and Juan Lopez",

year = "2003",

month = aug,

doi = "10.1063/1.1591771",

language = "English (US)",

volume = "15",

pages = "L57--L60",

journal = "Physics of Fluids",

issn = "1070-6631",

publisher = "American Institute of Physics Publising LLC",

number = "8",

}

TY - JOUR

T1 - On three-dimensional quasiperiodic Floquet instabilities of two-dimensional bluff body wakes

AU - Blackburn, H. M.

AU - Lopez, Juan

PY - 2003/8

Y1 - 2003/8

N2 - Previous studies dealing with Floquet secondary stability analysis of the wakes of circular and square cross-section cylinders have shown that there are two synchronous instability modes, with long (mode A) and short (mode B) spanwise wavelengths. At intermediate wavelengths another mode arises, which reaches criticality at Reynolds numbers higher than modes A or B. Here we concentrate on these intermediate-wave number modes for the wakes of circular and square cylinders. It is found that in both cases these modes possess complex-conjugate pair Floquet multipliers, and can be combined to produce either standing or traveling waves. Both these states are quasiperiodic.

AB - Previous studies dealing with Floquet secondary stability analysis of the wakes of circular and square cross-section cylinders have shown that there are two synchronous instability modes, with long (mode A) and short (mode B) spanwise wavelengths. At intermediate wavelengths another mode arises, which reaches criticality at Reynolds numbers higher than modes A or B. Here we concentrate on these intermediate-wave number modes for the wakes of circular and square cylinders. It is found that in both cases these modes possess complex-conjugate pair Floquet multipliers, and can be combined to produce either standing or traveling waves. Both these states are quasiperiodic.

UR - http://www.scopus.com/inward/record.url?scp=0042784751&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0042784751&partnerID=8YFLogxK

U2 - 10.1063/1.1591771

DO - 10.1063/1.1591771

M3 - Article

AN - SCOPUS:0042784751

SN - 1070-6631

VL - 15

SP - L57-L60

JO - Physics of Fluids

JF - Physics of Fluids

IS - 8

ER -

On three-dimensional quasiperiodic Floquet instabilities of two-dimensional bluff body wakes

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this