Zonal flow induced by longitudinal librations of a rotating cylindrical cavity

F.H. Busse

doi:10.1016/j.physd.2010.09.010

Zonal flow induced by longitudinal librations of a rotating cylindrical cavity

F.H. Busse

Universität Bayreuth

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

28 Citations (Scopus)

Abstract

Longitudinal librations represent oscillations about the axis of a rotating axisymmetric fluid filled cavity. An analytical theory is developed for the case of a cylindrical cavity in the limit when the libration frequency is small in comparison with the rotation rate, but large in comparison with the inverse of the spin-up time. It is shown that through the nonlinear advection in the Ekman layers the librations cause the fluid to rotate more slowly.

Original language	English
Pages (from-to)	208-211
Number of pages	4
Journal	Physica D
Volume	240
Issue number	2
DOIs	https://doi.org/10.1016/j.physd.2010.09.010
Publication status	Published - 15 Jan 2011

Keywords

rotating cylinder
libration
differential rotation
nonlinear Ekman layer

Access to Document

10.1016/j.physd.2010.09.010

Cite this

@article{2cc9a6345a204afdaacd077339e3b2c8,

title = "Zonal flow induced by longitudinal librations of a rotating cylindrical cavity",

abstract = "Longitudinal librations represent oscillations about the axis of a rotating axisymmetric fluid filled cavity. An analytical theory is developed for the case of a cylindrical cavity in the limit when the libration frequency is small in comparison with the rotation rate, but large in comparison with the inverse of the spin-up time. It is shown that through the nonlinear advection in the Ekman layers the librations cause the fluid to rotate more slowly.",

keywords = "rotating cylinder, libration, differential rotation, nonlinear Ekman layer",

author = "F.H. Busse",

year = "2011",

month = jan,

day = "15",

doi = "10.1016/j.physd.2010.09.010",

language = "English",

volume = "240",

pages = "208--211",

journal = "Physica D",

issn = "0167-2789",

publisher = "Elsevier",

number = "2",

}

TY - JOUR

T1 - Zonal flow induced by longitudinal librations of a rotating cylindrical cavity

AU - Busse, F.H.

PY - 2011/1/15

Y1 - 2011/1/15

N2 - Longitudinal librations represent oscillations about the axis of a rotating axisymmetric fluid filled cavity. An analytical theory is developed for the case of a cylindrical cavity in the limit when the libration frequency is small in comparison with the rotation rate, but large in comparison with the inverse of the spin-up time. It is shown that through the nonlinear advection in the Ekman layers the librations cause the fluid to rotate more slowly.

AB - Longitudinal librations represent oscillations about the axis of a rotating axisymmetric fluid filled cavity. An analytical theory is developed for the case of a cylindrical cavity in the limit when the libration frequency is small in comparison with the rotation rate, but large in comparison with the inverse of the spin-up time. It is shown that through the nonlinear advection in the Ekman layers the librations cause the fluid to rotate more slowly.

KW - rotating cylinder

KW - libration

KW - differential rotation

KW - nonlinear Ekman layer

UR - http://www.scopus.com/inward/record.url?scp=78649730825&partnerID=8YFLogxK

U2 - 10.1016/j.physd.2010.09.010

DO - 10.1016/j.physd.2010.09.010

M3 - Article

AN - SCOPUS:78649730825

SN - 0167-2789

VL - 240

SP - 208

EP - 211

JO - Physica D

JF - Physica D

IS - 2

ER -

Zonal flow induced by longitudinal librations of a rotating cylindrical cavity

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this