2013/12/18 by Liang Shi, Björn Hof, Bjoern Hof +2
Engineering · Environmental Science · Mathematics · Physics and Astronomy · #Classical mechanics #Couette flow #Flow (mathematics) #Fluid Dynamics and Turbulent Flows #Geology #Geometry #Growth rate #Instability #Linear growth #Linear stability #Mathematical analysis #Mathematics #Mechanics #Perpendicular #Physics #Plant Water Relations and Carbon Dynamics #Rotation (mathematics) #Shear (geology) #Shear flow #Solar and Space Plasma Dynamics #Taylor–Couette flow #Transient (computer programming) #physics.flu-dyn
paper · pdf · doi:10.1103/physreve.89.013001
published as Phys. Rev. E 2014 · 7 pages, 9 figures
arxiv created 2013/12/18 · openalex publication_date 2014/01/06 · arxiv updated 2014/01/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.