---
_id: '2226'
abstract:
- lang: eng
  text: Coriolis force effects on shear flows are important in geophysical and astrophysical
    contexts. We report a study on the linear stability and the transient energy growth
    of the plane Couette flow with system rotation perpendicular to the shear direction.
    External rotation causes linear instability. At small rotation rates, the onset
    of linear instability scales inversely with the rotation rate and the optimal
    transient growth in the linearly stable region is slightly enhanced ∼Re2. The
    corresponding optimal initial perturbations are characterized by roll structures
    inclined in the streamwise direction and are twisted under external rotation.
    At large rotation rates, the transient growth is significantly inhibited and hence
    linear stability analysis is a reliable indicator for instability.
article_number: '013001'
author:
- first_name: Liang
  full_name: Shi, Liang
  last_name: Shi
- first_name: Björn
  full_name: Hof, Björn
  id: 3A374330-F248-11E8-B48F-1D18A9856A87
  last_name: Hof
  orcid: 0000-0003-2057-2754
- first_name: Andreas
  full_name: Tilgner, Andreas
  last_name: Tilgner
citation:
  ama: Shi L, Hof B, Tilgner A. Transient growth of Ekman-Couette flow. <i>Physical
    Review E Statistical Nonlinear and Soft Matter Physics</i>. 2014;89(1). doi:<a
    href="https://doi.org/10.1103/PhysRevE.89.013001">10.1103/PhysRevE.89.013001</a>
  apa: Shi, L., Hof, B., &#38; Tilgner, A. (2014). Transient growth of Ekman-Couette
    flow. <i>Physical Review E Statistical Nonlinear and Soft Matter Physics</i>.
    American Institute of Physics. <a href="https://doi.org/10.1103/PhysRevE.89.013001">https://doi.org/10.1103/PhysRevE.89.013001</a>
  chicago: Shi, Liang, Björn Hof, and Andreas Tilgner. “Transient Growth of Ekman-Couette
    Flow.” <i>Physical Review E Statistical Nonlinear and Soft Matter Physics</i>.
    American Institute of Physics, 2014. <a href="https://doi.org/10.1103/PhysRevE.89.013001">https://doi.org/10.1103/PhysRevE.89.013001</a>.
  ieee: L. Shi, B. Hof, and A. Tilgner, “Transient growth of Ekman-Couette flow,”
    <i>Physical Review E Statistical Nonlinear and Soft Matter Physics</i>, vol. 89,
    no. 1. American Institute of Physics, 2014.
  ista: Shi L, Hof B, Tilgner A. 2014. Transient growth of Ekman-Couette flow. Physical
    Review E Statistical Nonlinear and Soft Matter Physics. 89(1), 013001.
  mla: Shi, Liang, et al. “Transient Growth of Ekman-Couette Flow.” <i>Physical Review
    E Statistical Nonlinear and Soft Matter Physics</i>, vol. 89, no. 1, 013001, American
    Institute of Physics, 2014, doi:<a href="https://doi.org/10.1103/PhysRevE.89.013001">10.1103/PhysRevE.89.013001</a>.
  short: L. Shi, B. Hof, A. Tilgner, Physical Review E Statistical Nonlinear and Soft
    Matter Physics 89 (2014).
date_created: 2018-12-11T11:56:26Z
date_published: 2014-01-06T00:00:00Z
date_updated: 2021-01-12T06:56:08Z
day: '06'
department:
- _id: BjHo
doi: 10.1103/PhysRevE.89.013001
intvolume: '        89'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1312.5095
month: '01'
oa: 1
oa_version: Submitted Version
project:
- _id: 25BDE9A4-B435-11E9-9278-68D0E5697425
  grant_number: SFB-TR3-TP10B
  name: Glutamaterge synaptische Übertragung und Plastizität in hippocampalen Mikroschaltkreisen
publication: Physical Review E Statistical Nonlinear and Soft Matter Physics
publication_identifier:
  issn:
  - '15393755'
publication_status: published
publisher: American Institute of Physics
publist_id: '4737'
quality_controlled: '1'
scopus_import: 1
status: public
title: Transient growth of Ekman-Couette flow
type: journal_article
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 89
year: '2014'
...