Parity-breaking flows in precessing spherical containers

R. Hollerbach, C. Nore, P. Marti, S. Vantieghem, F. Luddens, J. Léorat

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

We present numerical solutions of the flow in precessing spheres and spherical shells with small (ri/ro=0.1) inner cores and either stress-free or no-slip inner boundary conditions. For each of these three cases we consider the sequence of bifurcations as the Reynolds number Re=ro2Ω/ν is increased up to ∼1280, focusing particular attention on bifurcations that break the antipodal symmetry U(-r)=-U(r). All three cases have steady and time-periodic symmetric solutions at smaller Re, and quasiperiodic asymmetric solutions at larger Re, but the details of the transitions differ, and include also periodic asymmetric and quasiperiodic symmetric solutions in some of the cases.

Original languageEnglish
Article number053020
Pages (from-to)1-9
Number of pages9
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume87
Issue number5
DOIs
Publication statusPublished - 28 May 2013
Externally publishedYes

Fingerprint

Symmetric Solution
spherical shells
Parity
Container
containers
Reynolds number
parity
slip
Bifurcation
boundary conditions
Spherical Shell
symmetry
Slip
Numerical Solution
Boundary conditions
Symmetry

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Medicine(all)

Cite this

Hollerbach, R., Nore, C., Marti, P., Vantieghem, S., Luddens, F., & Léorat, J. (2013). Parity-breaking flows in precessing spherical containers. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 87(5), 1-9. [053020]. https://doi.org/10.1103/PhysRevE.87.053020

Parity-breaking flows in precessing spherical containers. / Hollerbach, R.; Nore, C.; Marti, P.; Vantieghem, S.; Luddens, F.; Léorat, J.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 87, No. 5, 053020, 28.05.2013, p. 1-9.

Research output: Contribution to journalArticle

Hollerbach, R, Nore, C, Marti, P, Vantieghem, S, Luddens, F & Léorat, J 2013, 'Parity-breaking flows in precessing spherical containers' Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 87, no. 5, 053020, pp. 1-9. https://doi.org/10.1103/PhysRevE.87.053020
Hollerbach, R. ; Nore, C. ; Marti, P. ; Vantieghem, S. ; Luddens, F. ; Léorat, J. / Parity-breaking flows in precessing spherical containers. In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 2013 ; Vol. 87, No. 5. pp. 1-9.
@article{84d6924c71794271a6afb5e774b96a63,
title = "Parity-breaking flows in precessing spherical containers",
abstract = "We present numerical solutions of the flow in precessing spheres and spherical shells with small (ri/ro=0.1) inner cores and either stress-free or no-slip inner boundary conditions. For each of these three cases we consider the sequence of bifurcations as the Reynolds number Re=ro2Ω/ν is increased up to ∼1280, focusing particular attention on bifurcations that break the antipodal symmetry U(-r)=-U(r). All three cases have steady and time-periodic symmetric solutions at smaller Re, and quasiperiodic asymmetric solutions at larger Re, but the details of the transitions differ, and include also periodic asymmetric and quasiperiodic symmetric solutions in some of the cases.",
author = "R. Hollerbach and C. Nore and P. Marti and S. Vantieghem and F. Luddens and J. L{\'e}orat",
year = "2013",
month = "5",
day = "28",
doi = "10.1103/PhysRevE.87.053020",
language = "English",
volume = "87",
pages = "1--9",
journal = "Physical Review E",
issn = "1539-3755",
publisher = "APS",
number = "5",

}

TY - JOUR

T1 - Parity-breaking flows in precessing spherical containers

AU - Hollerbach, R.

AU - Nore, C.

AU - Marti, P.

AU - Vantieghem, S.

AU - Luddens, F.

AU - Léorat, J.

PY - 2013/5/28

Y1 - 2013/5/28

N2 - We present numerical solutions of the flow in precessing spheres and spherical shells with small (ri/ro=0.1) inner cores and either stress-free or no-slip inner boundary conditions. For each of these three cases we consider the sequence of bifurcations as the Reynolds number Re=ro2Ω/ν is increased up to ∼1280, focusing particular attention on bifurcations that break the antipodal symmetry U(-r)=-U(r). All three cases have steady and time-periodic symmetric solutions at smaller Re, and quasiperiodic asymmetric solutions at larger Re, but the details of the transitions differ, and include also periodic asymmetric and quasiperiodic symmetric solutions in some of the cases.

AB - We present numerical solutions of the flow in precessing spheres and spherical shells with small (ri/ro=0.1) inner cores and either stress-free or no-slip inner boundary conditions. For each of these three cases we consider the sequence of bifurcations as the Reynolds number Re=ro2Ω/ν is increased up to ∼1280, focusing particular attention on bifurcations that break the antipodal symmetry U(-r)=-U(r). All three cases have steady and time-periodic symmetric solutions at smaller Re, and quasiperiodic asymmetric solutions at larger Re, but the details of the transitions differ, and include also periodic asymmetric and quasiperiodic symmetric solutions in some of the cases.

U2 - 10.1103/PhysRevE.87.053020

DO - 10.1103/PhysRevE.87.053020

M3 - Article

VL - 87

SP - 1

EP - 9

JO - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 5

M1 - 053020

ER -