Transition measurements near a multiple bifurcation point in a Taylor-Couette flow

Kwangjai Park, KwangHo Jeong

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The transition to a wavy vortex state from the Taylor vortex state has been studied under a quasistatic ramping condition. Six different values of the radius ratio, ranging between 0.7204 to 0.7399, were used. For 0.7248, the flow always evolves into an m=2 state, while for 0.7260, the flow evolves into an m=3 state. (From an earlier study, it is known that the latter transition typei.e., to an m=3 stateextends to values of at least as great as 0.7767.) Therefore, the neutral stability curves for the m=2 and m=3 states must intersect somewhere within the narrow range 0.7248 <<0.7260. The flow states near the intersection should exhibit behavior characteristics of a multiple bifurcation of codimension 2. No unusual transition behavior has yet been observed. Our results compare favorably with recent stability calculations by C. A. Jones.

Original languageEnglish
Pages (from-to)3457-3459
Number of pages3
JournalPhysical Review A
Volume31
Issue number5
DOIs
Publication statusPublished - 1985 Jan 1

Fingerprint

Couette flow
vortices
intersections
radii
curves

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)
  • Atomic and Molecular Physics, and Optics

Cite this

@article{a17a843c5e884882a15e29d326d43a97,
title = "Transition measurements near a multiple bifurcation point in a Taylor-Couette flow",
abstract = "The transition to a wavy vortex state from the Taylor vortex state has been studied under a quasistatic ramping condition. Six different values of the radius ratio, ranging between 0.7204 to 0.7399, were used. For 0.7248, the flow always evolves into an m=2 state, while for 0.7260, the flow evolves into an m=3 state. (From an earlier study, it is known that the latter transition typei.e., to an m=3 stateextends to values of at least as great as 0.7767.) Therefore, the neutral stability curves for the m=2 and m=3 states must intersect somewhere within the narrow range 0.7248 <<0.7260. The flow states near the intersection should exhibit behavior characteristics of a multiple bifurcation of codimension 2. No unusual transition behavior has yet been observed. Our results compare favorably with recent stability calculations by C. A. Jones.",
author = "Kwangjai Park and KwangHo Jeong",
year = "1985",
month = "1",
day = "1",
doi = "10.1103/PhysRevA.31.3457",
language = "English",
volume = "31",
pages = "3457--3459",
journal = "Physical Review A - Atomic, Molecular, and Optical Physics",
issn = "1050-2947",
publisher = "American Physical Society",
number = "5",

}

Transition measurements near a multiple bifurcation point in a Taylor-Couette flow. / Park, Kwangjai; Jeong, KwangHo.

In: Physical Review A, Vol. 31, No. 5, 01.01.1985, p. 3457-3459.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Transition measurements near a multiple bifurcation point in a Taylor-Couette flow

AU - Park, Kwangjai

AU - Jeong, KwangHo

PY - 1985/1/1

Y1 - 1985/1/1

N2 - The transition to a wavy vortex state from the Taylor vortex state has been studied under a quasistatic ramping condition. Six different values of the radius ratio, ranging between 0.7204 to 0.7399, were used. For 0.7248, the flow always evolves into an m=2 state, while for 0.7260, the flow evolves into an m=3 state. (From an earlier study, it is known that the latter transition typei.e., to an m=3 stateextends to values of at least as great as 0.7767.) Therefore, the neutral stability curves for the m=2 and m=3 states must intersect somewhere within the narrow range 0.7248 <<0.7260. The flow states near the intersection should exhibit behavior characteristics of a multiple bifurcation of codimension 2. No unusual transition behavior has yet been observed. Our results compare favorably with recent stability calculations by C. A. Jones.

AB - The transition to a wavy vortex state from the Taylor vortex state has been studied under a quasistatic ramping condition. Six different values of the radius ratio, ranging between 0.7204 to 0.7399, were used. For 0.7248, the flow always evolves into an m=2 state, while for 0.7260, the flow evolves into an m=3 state. (From an earlier study, it is known that the latter transition typei.e., to an m=3 stateextends to values of at least as great as 0.7767.) Therefore, the neutral stability curves for the m=2 and m=3 states must intersect somewhere within the narrow range 0.7248 <<0.7260. The flow states near the intersection should exhibit behavior characteristics of a multiple bifurcation of codimension 2. No unusual transition behavior has yet been observed. Our results compare favorably with recent stability calculations by C. A. Jones.

UR - http://www.scopus.com/inward/record.url?scp=35949016485&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=35949016485&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.31.3457

DO - 10.1103/PhysRevA.31.3457

M3 - Article

VL - 31

SP - 3457

EP - 3459

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

SN - 1050-2947

IS - 5

ER -