---
OA_place: publisher
OA_type: hybrid
_id: '19730'
abstract:
- lang: eng
  text: Feigenbaum universality is shown to occur in subcritical shear flows. Our
    testing ground is the counter-rotation regime of the Taylor–Couette flow, where
    numerical calculations are performed within a small periodic domain. The accurate
    computation of up to the seventh period-doubling bifurcation, assisted by a purposely
    defined Poincaré section, has enabled us to reproduce the two Feigenbaum universal
    constants with unprecedented accuracy in a fluid flow problem. We have further
    devised a method to predict the bifurcation diagram up to the accumulation point
    of the cascade based on the detailed inspection of just the first few period-doubling
    bifurcations. Remarkably, the method is applicable beyond the accumulation point,
    with predictions remaining valid, in a statistical sense, for the chaotic dynamics
    that follows.
acknowledgement: This research is supported by the Australian Research Council Discovery
  Project DP230102188 and the Ministerio de Ciencia, Innovación y Universidades (Agencia
  Estatal de Investigación, project nos. PID 2020–114043 GB-I00 (MCIN/AEI/10.13039/501100011033)
  and PID 2023–150029NB-I00 (MCIN/AEI/10.13039/501100011033/FEDER, UE). B.W.’s and
  R.A.’s research has been funded by the European Union’s Horizon 2020 research and
  innovation programme (Marie Skłodowska-Curie Grant Agreement No. 101034413). R.A.
  has also been funded by the Austrian Science Fund (FWF) 10.55776/ESP1481224.
article_number: A36
article_processing_charge: Yes (in subscription journal)
article_type: original
author:
- first_name: Baoying
  full_name: Wang, Baoying
  id: df755ffe-735a-11ee-bb55-dff29d61d338
  last_name: Wang
  orcid: 0000-0002-6229-0336
- first_name: Roger
  full_name: Ayats López, Roger
  id: ab77522d-073b-11ed-8aff-e71b39258362
  last_name: Ayats López
  orcid: 0000-0001-6572-0621
- first_name: K.
  full_name: Deguchi, K.
  last_name: Deguchi
- first_name: A.
  full_name: Meseguer, A.
  last_name: Meseguer
- first_name: F.
  full_name: Mellibovsky, F.
  last_name: Mellibovsky
citation:
  ama: Wang B, Ayats López R, Deguchi K, Meseguer A, Mellibovsky F. Feigenbaum universality
    in subcritical Taylor-Couette flow. <i>Journal of Fluid Mechanics</i>. 2025;1010.
    doi:<a href="https://doi.org/10.1017/jfm.2025.278">10.1017/jfm.2025.278</a>
  apa: Wang, B., Ayats López, R., Deguchi, K., Meseguer, A., &#38; Mellibovsky, F.
    (2025). Feigenbaum universality in subcritical Taylor-Couette flow. <i>Journal
    of Fluid Mechanics</i>. Cambridge University Press. <a href="https://doi.org/10.1017/jfm.2025.278">https://doi.org/10.1017/jfm.2025.278</a>
  chicago: Wang, Baoying, Roger Ayats López, K. Deguchi, A. Meseguer, and F. Mellibovsky.
    “Feigenbaum Universality in Subcritical Taylor-Couette Flow.” <i>Journal of Fluid
    Mechanics</i>. Cambridge University Press, 2025. <a href="https://doi.org/10.1017/jfm.2025.278">https://doi.org/10.1017/jfm.2025.278</a>.
  ieee: B. Wang, R. Ayats López, K. Deguchi, A. Meseguer, and F. Mellibovsky, “Feigenbaum
    universality in subcritical Taylor-Couette flow,” <i>Journal of Fluid Mechanics</i>,
    vol. 1010. Cambridge University Press, 2025.
  ista: Wang B, Ayats López R, Deguchi K, Meseguer A, Mellibovsky F. 2025. Feigenbaum
    universality in subcritical Taylor-Couette flow. Journal of Fluid Mechanics. 1010,
    A36.
  mla: Wang, Baoying, et al. “Feigenbaum Universality in Subcritical Taylor-Couette
    Flow.” <i>Journal of Fluid Mechanics</i>, vol. 1010, A36, Cambridge University
    Press, 2025, doi:<a href="https://doi.org/10.1017/jfm.2025.278">10.1017/jfm.2025.278</a>.
  short: B. Wang, R. Ayats López, K. Deguchi, A. Meseguer, F. Mellibovsky, Journal
    of Fluid Mechanics 1010 (2025).
date_created: 2025-05-25T22:16:48Z
date_published: 2025-05-14T00:00:00Z
date_updated: 2025-09-30T12:39:05Z
day: '14'
ddc:
- '530'
department:
- _id: BjHo
doi: 10.1017/jfm.2025.278
ec_funded: 1
external_id:
  isi:
  - '001487354900001'
file:
- access_level: open_access
  checksum: 77f39b762a0e59e88954afb93b23cc7a
  content_type: application/pdf
  creator: dernst
  date_created: 2025-05-28T08:32:33Z
  date_updated: 2025-05-28T08:32:33Z
  file_id: '19752'
  file_name: 2025_JourFluidMech_Wang.pdf
  file_size: 3607069
  relation: main_file
  success: 1
file_date_updated: 2025-05-28T08:32:33Z
has_accepted_license: '1'
intvolume: '      1010'
isi: 1
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '05'
oa: 1
oa_version: Published Version
project:
- _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c
  call_identifier: H2020
  grant_number: '101034413'
  name: 'IST-BRIDGE: International postdoctoral program'
- _id: 942a0200-16d5-11f0-9cad-f48ab22dfd1c
  grant_number: ESP 1481224
  name: Pattern Formation Mechanisms in Planar Shear Flows
publication: Journal of Fluid Mechanics
publication_identifier:
  eissn:
  - 1469-7645
  issn:
  - 0022-1120
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Feigenbaum universality in subcritical Taylor-Couette flow
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 1010
year: '2025'
...
---
OA_place: publisher
OA_type: hybrid
_id: '19732'
abstract:
- lang: eng
  text: The transition to chaos in the subcritical regime of counter-rotating Taylor–Couette
    flow is investigated using a minimal periodic domain capable of sustaining coherent
    structures. Following a Feigenbaum cascade, the dynamics is found to be remarkably
    well approximated by a simple discrete map that admits rigorous proof of its chaotic
    nature. The chaotic set that arises for the map features densely distributed periodic
    points that are in one-to-one correspondence with unstable periodic orbits (UPOs)
    of the Navier–Stokes system. This supports the increasingly accepted view that
    UPOs may serve as the backbone of turbulence and, indeed, we demonstrate that
    it is possible to reconstruct every statistical property of chaotic fluid flow
    from UPOs.
acknowledgement: This research is supported by the Australian Research Council Discovery
  Project DP230102188 and the Ministerio de Ciencia, Innovación y Universidades (Agencia
  Estatal de Investigación, project nos PID 2020-114043 GB-I00 (MCIN/AEI/10.13039/501100011033)
  and PID 2023-150029NB-I00 (MCIN/AEI/10.13039/ 501100011033/FEDER, UE). B.W. and
  R.A.’s research has been funded by the European Union’s Horizon 2020 research and
  innovation programme (Marie Skłodowska-Curie grant agreement no. 101034413). R.A.
  has also been funded by the Austrian Science Fund (FWF) 10.55776/ESP1481224.
article_number: R2
article_processing_charge: Yes (in subscription journal)
article_type: original
author:
- first_name: Baoying
  full_name: Wang, Baoying
  id: df755ffe-735a-11ee-bb55-dff29d61d338
  last_name: Wang
  orcid: 0000-0002-6229-0336
- first_name: Roger
  full_name: Ayats López, Roger
  id: ab77522d-073b-11ed-8aff-e71b39258362
  last_name: Ayats López
  orcid: 0000-0001-6572-0621
- first_name: K.
  full_name: Deguchi, K.
  last_name: Deguchi
- first_name: A.
  full_name: Meseguer, A.
  last_name: Meseguer
- first_name: F.
  full_name: Mellibovsky, F.
  last_name: Mellibovsky
citation:
  ama: Wang B, Ayats López R, Deguchi K, Meseguer A, Mellibovsky F. Mathematically
    established chaos and forecast of statistics with recurrent patterns in Taylor-Couette
    flow. <i>Journal of Fluid Mechanics</i>. 2025;1011. doi:<a href="https://doi.org/10.1017/jfm.2025.151">10.1017/jfm.2025.151</a>
  apa: Wang, B., Ayats López, R., Deguchi, K., Meseguer, A., &#38; Mellibovsky, F.
    (2025). Mathematically established chaos and forecast of statistics with recurrent
    patterns in Taylor-Couette flow. <i>Journal of Fluid Mechanics</i>. Cambridge
    University Press. <a href="https://doi.org/10.1017/jfm.2025.151">https://doi.org/10.1017/jfm.2025.151</a>
  chicago: Wang, Baoying, Roger Ayats López, K. Deguchi, A. Meseguer, and F. Mellibovsky.
    “Mathematically Established Chaos and Forecast of Statistics with Recurrent Patterns
    in Taylor-Couette Flow.” <i>Journal of Fluid Mechanics</i>. Cambridge University
    Press, 2025. <a href="https://doi.org/10.1017/jfm.2025.151">https://doi.org/10.1017/jfm.2025.151</a>.
  ieee: B. Wang, R. Ayats López, K. Deguchi, A. Meseguer, and F. Mellibovsky, “Mathematically
    established chaos and forecast of statistics with recurrent patterns in Taylor-Couette
    flow,” <i>Journal of Fluid Mechanics</i>, vol. 1011. Cambridge University Press,
    2025.
  ista: Wang B, Ayats López R, Deguchi K, Meseguer A, Mellibovsky F. 2025. Mathematically
    established chaos and forecast of statistics with recurrent patterns in Taylor-Couette
    flow. Journal of Fluid Mechanics. 1011, R2.
  mla: Wang, Baoying, et al. “Mathematically Established Chaos and Forecast of Statistics
    with Recurrent Patterns in Taylor-Couette Flow.” <i>Journal of Fluid Mechanics</i>,
    vol. 1011, R2, Cambridge University Press, 2025, doi:<a href="https://doi.org/10.1017/jfm.2025.151">10.1017/jfm.2025.151</a>.
  short: B. Wang, R. Ayats López, K. Deguchi, A. Meseguer, F. Mellibovsky, Journal
    of Fluid Mechanics 1011 (2025).
date_created: 2025-05-25T22:16:52Z
date_published: 2025-05-13T00:00:00Z
date_updated: 2025-09-30T12:39:44Z
day: '13'
ddc:
- '530'
department:
- _id: BjHo
doi: 10.1017/jfm.2025.151
ec_funded: 1
external_id:
  isi:
  - '001486096600001'
file:
- access_level: open_access
  checksum: 899df5797844a9e811dffeebe8c05c8e
  content_type: application/pdf
  creator: dernst
  date_created: 2025-05-28T09:00:52Z
  date_updated: 2025-05-28T09:00:52Z
  file_id: '19754'
  file_name: 2025_JourFluidMech_Wang_Ayats.pdf
  file_size: 998754
  relation: main_file
  success: 1
file_date_updated: 2025-05-28T09:00:52Z
has_accepted_license: '1'
intvolume: '      1011'
isi: 1
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
project:
- _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c
  call_identifier: H2020
  grant_number: '101034413'
  name: 'IST-BRIDGE: International postdoctoral program'
- _id: 942a0200-16d5-11f0-9cad-f48ab22dfd1c
  grant_number: ESP 1481224
  name: Pattern Formation Mechanisms in Planar Shear Flows
publication: Journal of Fluid Mechanics
publication_identifier:
  eissn:
  - 1469-7645
  issn:
  - 0022-1120
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Mathematically established chaos and forecast of statistics with recurrent
  patterns in Taylor-Couette flow
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 1011
year: '2025'
...
---
_id: '14754'
abstract:
- lang: eng
  text: The large-scale laminar/turbulent spiral patterns that appear in the linearly
    unstable regime of counter-rotating Taylor–Couette flow are investigated from
    a statistical perspective by means of direct numerical simulation. Unlike the
    vast majority of previous numerical studies, we analyse the flow in periodic parallelogram-annular
    domains, following a coordinate change that aligns one of the parallelogram sides
    with the spiral pattern. The domain size, shape and spatial resolution have been
    varied and the results compared with those in a sufficiently large computational
    orthogonal domain with natural axial and azimuthal periodicity. We find that a
    minimal parallelogram of the right tilt significantly reduces the computational
    cost without notably compromising the statistical properties of the supercritical
    turbulent spiral. Its mean structure, obtained from extremely long time integrations
    in a co-rotating reference frame using the method of slices, bears remarkable
    similarity with the turbulent stripes observed in plane Couette flow, the centrifugal
    instability playing only a secondary role.
acknowledgement: K.D.’s research was supported by Australian Research Council Discovery
  Early Career Researcher Award (DE170100171). B.W., R.A., F.M. and A.M. research
  was supported by the Spanish Ministerio de Economía y Competitividad (grant nos.
  FIS2016-77849-R and FIS2017-85794-P) and Ministerio de Ciencia e Innovación (grant
  no. PID2020-114043GB-I00) and the Generalitat de Catalunya (grant no. 2017-SGR-785).
  B.W.’s research was also supported by the Chinese Scholarship Council (grant CSC
  no. 201806440152). F.M. is a Serra-Húnter Fellow.
article_number: '0112'
article_processing_charge: No
article_type: original
author:
- first_name: B.
  full_name: Wang, B.
  last_name: Wang
- first_name: F.
  full_name: Mellibovsky, F.
  last_name: Mellibovsky
- first_name: Roger
  full_name: Ayats López, Roger
  id: ab77522d-073b-11ed-8aff-e71b39258362
  last_name: Ayats López
  orcid: 0000-0001-6572-0621
- first_name: K.
  full_name: Deguchi, K.
  last_name: Deguchi
- first_name: A.
  full_name: Meseguer, A.
  last_name: Meseguer
citation:
  ama: Wang B, Mellibovsky F, Ayats López R, Deguchi K, Meseguer A. Mean structure
    of the supercritical turbulent spiral in Taylor–Couette flow. <i>Philosophical
    Transactions of the Royal Society A</i>. 2023;381(2246). doi:<a href="https://doi.org/10.1098/rsta.2022.0112">10.1098/rsta.2022.0112</a>
  apa: Wang, B., Mellibovsky, F., Ayats López, R., Deguchi, K., &#38; Meseguer, A.
    (2023). Mean structure of the supercritical turbulent spiral in Taylor–Couette
    flow. <i>Philosophical Transactions of the Royal Society A</i>. The Royal Society.
    <a href="https://doi.org/10.1098/rsta.2022.0112">https://doi.org/10.1098/rsta.2022.0112</a>
  chicago: Wang, B., F. Mellibovsky, Roger Ayats López, K. Deguchi, and A. Meseguer.
    “Mean Structure of the Supercritical Turbulent Spiral in Taylor–Couette Flow.”
    <i>Philosophical Transactions of the Royal Society A</i>. The Royal Society, 2023.
    <a href="https://doi.org/10.1098/rsta.2022.0112">https://doi.org/10.1098/rsta.2022.0112</a>.
  ieee: B. Wang, F. Mellibovsky, R. Ayats López, K. Deguchi, and A. Meseguer, “Mean
    structure of the supercritical turbulent spiral in Taylor–Couette flow,” <i>Philosophical
    Transactions of the Royal Society A</i>, vol. 381, no. 2246. The Royal Society,
    2023.
  ista: Wang B, Mellibovsky F, Ayats López R, Deguchi K, Meseguer A. 2023. Mean structure
    of the supercritical turbulent spiral in Taylor–Couette flow. Philosophical Transactions
    of the Royal Society A. 381(2246), 0112.
  mla: Wang, B., et al. “Mean Structure of the Supercritical Turbulent Spiral in Taylor–Couette
    Flow.” <i>Philosophical Transactions of the Royal Society A</i>, vol. 381, no.
    2246, 0112, The Royal Society, 2023, doi:<a href="https://doi.org/10.1098/rsta.2022.0112">10.1098/rsta.2022.0112</a>.
  short: B. Wang, F. Mellibovsky, R. Ayats López, K. Deguchi, A. Meseguer, Philosophical
    Transactions of the Royal Society A 381 (2023).
date_created: 2024-01-08T13:11:45Z
date_published: 2023-05-01T00:00:00Z
date_updated: 2025-09-09T14:14:17Z
day: '01'
ddc:
- '530'
department:
- _id: BjHo
doi: 10.1098/rsta.2022.0112
external_id:
  isi:
  - '000947761800008'
  pmid:
  - '36907214'
file:
- access_level: open_access
  checksum: 1978d126c0ce2f47c22ac20107cc0106
  content_type: application/pdf
  creator: dernst
  date_created: 2024-01-09T09:13:53Z
  date_updated: 2024-01-09T09:13:53Z
  file_id: '14763'
  file_name: 2023_PhilTransactionsA_Wang_accepted.pdf
  file_size: 6421086
  relation: main_file
  success: 1
file_date_updated: 2024-01-09T09:13:53Z
has_accepted_license: '1'
intvolume: '       381'
isi: 1
issue: '2246'
keyword:
- General Physics and Astronomy
- General Engineering
- General Mathematics
language:
- iso: eng
month: '05'
oa: 1
oa_version: Submitted Version
pmid: 1
publication: Philosophical Transactions of the Royal Society A
publication_identifier:
  eissn:
  - 1471-2962
  issn:
  - 1364-503X
publication_status: published
publisher: The Royal Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Mean structure of the supercritical turbulent spiral in Taylor–Couette flow
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 381
year: '2023'
...
---
_id: '12137'
abstract:
- lang: eng
  text: We investigate the local self-sustained process underlying spiral turbulence
    in counter-rotating Taylor–Couette flow using a periodic annular domain, shaped
    as a parallelogram, two of whose sides are aligned with the cylindrical helix
    described by the spiral pattern. The primary focus of the study is placed on the
    emergence of drifting–rotating waves (DRW) that capture, in a relatively small
    domain, the main features of coherent structures typically observed in developed
    turbulence. The transitional dynamics of the subcritical region, far below the
    first instability of the laminar circular Couette flow, is determined by the upper
    and lower branches of DRW solutions originated at saddle-node bifurcations. The
    mechanism whereby these solutions self-sustain, and the chaotic dynamics they
    induce, are conspicuously reminiscent of other subcritical shear flows. Remarkably,
    the flow properties of DRW persist even as the Reynolds number is increased beyond
    the linear stability threshold of the base flow. Simulations in a narrow parallelogram
    domain stretched in the azimuthal direction to revolve around the apparatus a
    full turn confirm that self-sustained vortices eventually concentrate into a localised
    pattern. The resulting statistical steady state satisfactorily reproduces qualitatively,
    and to a certain degree also quantitatively, the topology and properties of spiral
    turbulence as calculated in a large periodic domain of sufficient aspect ratio
    that is representative of the real system.
acknowledgement: "K.D.’s research was supported by an Australian Research Council
  Discovery Early Career\r\nResearcher Award (DE170100171). B.W., R.A., F.M. and A.M.
  research was supported by the Spanish Ministerio de Economía y Competitivdad (grant
  numbers FIS2016-77849-R and FIS2017-85794-P) and Ministerio de Ciencia e Innovación
  (grant number PID2020-114043GB-I00) and the Generalitat de Catalunya (grant 2017-SGR-785).
  B.W.’s research was also supported by the Chinese Scholarship Council (grant CSC
  no. 201806440152)."
article_number: A21
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: B.
  full_name: Wang, B.
  last_name: Wang
- first_name: Roger
  full_name: Ayats López, Roger
  id: ab77522d-073b-11ed-8aff-e71b39258362
  last_name: Ayats López
  orcid: 0000-0001-6572-0621
- first_name: K.
  full_name: Deguchi, K.
  last_name: Deguchi
- first_name: F.
  full_name: Mellibovsky, F.
  last_name: Mellibovsky
- first_name: A.
  full_name: Meseguer, A.
  last_name: Meseguer
citation:
  ama: Wang B, Ayats López R, Deguchi K, Mellibovsky F, Meseguer A. Self-sustainment
    of coherent structures in counter-rotating Taylor–Couette flow. <i>Journal of
    Fluid Mechanics</i>. 2022;951. doi:<a href="https://doi.org/10.1017/jfm.2022.828">10.1017/jfm.2022.828</a>
  apa: Wang, B., Ayats López, R., Deguchi, K., Mellibovsky, F., &#38; Meseguer, A.
    (2022). Self-sustainment of coherent structures in counter-rotating Taylor–Couette
    flow. <i>Journal of Fluid Mechanics</i>. Cambridge University Press. <a href="https://doi.org/10.1017/jfm.2022.828">https://doi.org/10.1017/jfm.2022.828</a>
  chicago: Wang, B., Roger Ayats López, K. Deguchi, F. Mellibovsky, and A. Meseguer.
    “Self-Sustainment of Coherent Structures in Counter-Rotating Taylor–Couette Flow.”
    <i>Journal of Fluid Mechanics</i>. Cambridge University Press, 2022. <a href="https://doi.org/10.1017/jfm.2022.828">https://doi.org/10.1017/jfm.2022.828</a>.
  ieee: B. Wang, R. Ayats López, K. Deguchi, F. Mellibovsky, and A. Meseguer, “Self-sustainment
    of coherent structures in counter-rotating Taylor–Couette flow,” <i>Journal of
    Fluid Mechanics</i>, vol. 951. Cambridge University Press, 2022.
  ista: Wang B, Ayats López R, Deguchi K, Mellibovsky F, Meseguer A. 2022. Self-sustainment
    of coherent structures in counter-rotating Taylor–Couette flow. Journal of Fluid
    Mechanics. 951, A21.
  mla: Wang, B., et al. “Self-Sustainment of Coherent Structures in Counter-Rotating
    Taylor–Couette Flow.” <i>Journal of Fluid Mechanics</i>, vol. 951, A21, Cambridge
    University Press, 2022, doi:<a href="https://doi.org/10.1017/jfm.2022.828">10.1017/jfm.2022.828</a>.
  short: B. Wang, R. Ayats López, K. Deguchi, F. Mellibovsky, A. Meseguer, Journal
    of Fluid Mechanics 951 (2022).
date_created: 2023-01-12T12:04:17Z
date_published: 2022-11-07T00:00:00Z
date_updated: 2023-08-04T08:54:16Z
day: '07'
department:
- _id: BjHo
doi: 10.1017/jfm.2022.828
external_id:
  arxiv:
  - '2207.12990'
  isi:
  - '000879446900001'
intvolume: '       951'
isi: 1
keyword:
- Mechanical Engineering
- Mechanics of Materials
- Condensed Matter Physics
- Applied Mathematics
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: ' https://doi.org/10.48550/arXiv.2207.12990'
month: '11'
oa: 1
oa_version: Preprint
publication: Journal of Fluid Mechanics
publication_identifier:
  eissn:
  - 1469-7645
  issn:
  - 0022-1120
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Self-sustainment of coherent structures in counter-rotating Taylor–Couette
  flow
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 951
year: '2022'
...
---
_id: '12146'
abstract:
- lang: eng
  text: 'In this paper, we explore the stability and dynamical relevance of a wide
    variety of steady, time-periodic, quasiperiodic, and chaotic flows arising between
    orthogonally stretching parallel plates. We first explore the stability of all
    the steady flow solution families formerly identified by Ayats et al. [“Flows
    between orthogonally stretching parallel plates,” Phys. Fluids 33, 024103 (2021)],
    concluding that only the one that originates from the Stokesian approximation
    is actually stable. When both plates are shrinking at identical or nearly the
    same deceleration rates, this Stokesian flow exhibits a Hopf bifurcation that
    leads to stable time-periodic regimes. The resulting time-periodic orbits or flows
    are tracked for different Reynolds numbers and stretching rates while monitoring
    their Floquet exponents to identify secondary instabilities. It is found that
    these time-periodic flows also exhibit Neimark–Sacker bifurcations, generating
    stable quasiperiodic flows (tori) that may sometimes give rise to chaotic dynamics
    through a Ruelle–Takens–Newhouse scenario. However, chaotic dynamics is unusually
    observed, as the quasiperiodic flows generally become phase-locked through a resonance
    mechanism before a strange attractor may arise, thus restoring the time-periodicity
    of the flow. In this work, we have identified and tracked four different resonance
    regions, also known as Arnold tongues or horns. In particular, the 1 : 4 strong
    resonance region is explored in great detail, where the identified scenarios are
    in very good agreement with normal form theory. '
acknowledgement: "This work was supported by the Spanish MINECO under Grant Nos. FIS2017-85794-P
  and PRX18/00179, the Spanish MICINN through Grant No. PID2020-114043GB-I00, and
  the\r\nGeneralitat de Catalunya under Grant No. 2017-SGR-785. B.W.’s research was
  also supported by the Chinese Scholarship Council through Grant CSC No. 201806440152."
article_number: '114111'
article_processing_charge: No
article_type: original
author:
- first_name: B.
  full_name: Wang, B.
  last_name: Wang
- first_name: Roger
  full_name: Ayats López, Roger
  id: ab77522d-073b-11ed-8aff-e71b39258362
  last_name: Ayats López
  orcid: 0000-0001-6572-0621
- first_name: A.
  full_name: Meseguer, A.
  last_name: Meseguer
- first_name: F.
  full_name: Marques, F.
  last_name: Marques
citation:
  ama: Wang B, Ayats López R, Meseguer A, Marques F. Phase-locking flows between orthogonally
    stretching parallel plates. <i>Physics of Fluids</i>. 2022;34(11). doi:<a href="https://doi.org/10.1063/5.0124152">10.1063/5.0124152</a>
  apa: Wang, B., Ayats López, R., Meseguer, A., &#38; Marques, F. (2022). Phase-locking
    flows between orthogonally stretching parallel plates. <i>Physics of Fluids</i>.
    AIP Publishing. <a href="https://doi.org/10.1063/5.0124152">https://doi.org/10.1063/5.0124152</a>
  chicago: Wang, B., Roger Ayats López, A. Meseguer, and F. Marques. “Phase-Locking
    Flows between Orthogonally Stretching Parallel Plates.” <i>Physics of Fluids</i>.
    AIP Publishing, 2022. <a href="https://doi.org/10.1063/5.0124152">https://doi.org/10.1063/5.0124152</a>.
  ieee: B. Wang, R. Ayats López, A. Meseguer, and F. Marques, “Phase-locking flows
    between orthogonally stretching parallel plates,” <i>Physics of Fluids</i>, vol.
    34, no. 11. AIP Publishing, 2022.
  ista: Wang B, Ayats López R, Meseguer A, Marques F. 2022. Phase-locking flows between
    orthogonally stretching parallel plates. Physics of Fluids. 34(11), 114111.
  mla: Wang, B., et al. “Phase-Locking Flows between Orthogonally Stretching Parallel
    Plates.” <i>Physics of Fluids</i>, vol. 34, no. 11, 114111, AIP Publishing, 2022,
    doi:<a href="https://doi.org/10.1063/5.0124152">10.1063/5.0124152</a>.
  short: B. Wang, R. Ayats López, A. Meseguer, F. Marques, Physics of Fluids 34 (2022).
date_created: 2023-01-12T12:06:58Z
date_published: 2022-11-04T00:00:00Z
date_updated: 2023-10-03T11:07:58Z
day: '04'
department:
- _id: BjHo
doi: 10.1063/5.0124152
external_id:
  isi:
  - '000880665300024'
intvolume: '        34'
isi: 1
issue: '11'
keyword:
- Condensed Matter Physics
- Fluid Flow and Transfer Processes
- Mechanics of Materials
- Computational Mechanics
- Mechanical Engineering
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://upcommons.upc.edu/handle/2117/385635
month: '11'
oa: 1
oa_version: Submitted Version
publication: Physics of Fluids
publication_identifier:
  eissn:
  - 1089-7666
  issn:
  - 1070-6631
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: Phase-locking flows between orthogonally stretching parallel plates
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 34
year: '2022'
...
