Transient growth of Ekman-Couette flow

L. Shi, B. Hof, A. Tilgner, Physical Review E Statistical Nonlinear and Soft Matter Physics 89 (2014).


Journal Article | Published | English

Scopus indexed
Author
Shi, Liang; Hof, BjörnIST Austria ; Tilgner, Andreas
Department
Abstract
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.
Publishing Year
Date Published
2014-01-06
Journal Title
Physical Review E Statistical Nonlinear and Soft Matter Physics
Volume
89
Issue
1
Article Number
013001
ISSN
IST-REx-ID

Cite this

Shi L, Hof B, Tilgner A. Transient growth of Ekman-Couette flow. Physical Review E Statistical Nonlinear and Soft Matter Physics. 2014;89(1). doi:10.1103/PhysRevE.89.013001
Shi, L., Hof, B., & Tilgner, A. (2014). Transient growth of Ekman-Couette flow. Physical Review E Statistical Nonlinear and Soft Matter Physics, 89(1). https://doi.org/10.1103/PhysRevE.89.013001
Shi, Liang, Björn Hof, and Andreas Tilgner. “Transient Growth of Ekman-Couette Flow.” Physical Review E Statistical Nonlinear and Soft Matter Physics 89, no. 1 (2014). https://doi.org/10.1103/PhysRevE.89.013001.
L. Shi, B. Hof, and A. Tilgner, “Transient growth of Ekman-Couette flow,” Physical Review E Statistical Nonlinear and Soft Matter Physics, vol. 89, no. 1, 2014.
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.
Shi, Liang, et al. “Transient Growth of Ekman-Couette Flow.” Physical Review E Statistical Nonlinear and Soft Matter Physics, vol. 89, no. 1, 013001, American Institute of Physics, 2014, doi:10.1103/PhysRevE.89.013001.
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