scholarly journals Anomalous scaling of passive scalars in rotating flows

2011 ◽  
Vol 83 (6) ◽  
Author(s):  
P. Rodriguez Imazio ◽  
P. D. Mininni
Keyword(s):  
Rotating Flows ◽  
Anomalous Scaling ◽  
Passive Scalars

Criticality of compressible rotating flows

2007 ◽  
Vol 19 (1) ◽  
pp. 018101 ◽  
Author(s):  
Florent Renac ◽  
Denis Sipp ◽  
Laurent Jacquin
Keyword(s):  
Rotating Flows

Boundary Layers on Characteristic Surfaces for Time-Dependent Rotating Flows

1983 ◽  
Vol 50 (2) ◽  
pp. 251-254 ◽  
Author(s):  
R. F. Gans
Keyword(s):  
Boundary Layers ◽  
Kinematic Viscosity ◽  
Normal Component ◽  
Rotating Flows ◽  
Rotation Vector ◽  
Time Dependent ◽  
Normal Vector ◽  
Length Scale ◽  
Rotation Vectors ◽  
Typical Length

Time-dependent motion of a fluid in a container rotating at Ω is characterized by boundary layers on the container surfaces if ν/Ω, where ν denotes kinematic viscosity, is small compared to the square of a typical length of the container. Let the frequency of the motion, measured in a corotating coordinate system, be ωΩ. If ω ~ 1, then the length scale of the boundary layer is (ν/Ω)1/2, unless |ω| is equal to twice the normal component of the unit rotation vector. If |ω| does equal twice the normal component of the unit rotation vector, scales of (ν/ΩL2)1/3 L and (ν/ΩL2)1/4 L are possible. If the normal vector and rotation vectors are parallel, the former scale vanishes.

scholarly journals On the short-wavelength stabilities of some geophysical flows

2017 ◽  
Vol 376 (2111) ◽  
pp. 20170090 ◽  
Author(s):  
Delia Ionescu-Kruse
Keyword(s):  
Water Waves ◽  
Short Wavelength ◽  
Travelling Wave ◽  
Geophysical Flows ◽  
Rotating Flows ◽  
Steady Flows ◽  
Azimuthal Direction ◽  
Theme Issue ◽  
Nonlinear Water Waves ◽  
Stability Method

This paper is a survey of the short-wavelength stability method for rotating flows. Additional complications such as stratification in the flow or the presence of non-conservative body forces are considered too. This method is applied to the specific study of some exact geophysical flows. For Gerstner-like geophysical flows one can identify perturbations in certain directions as a source of instabilities with an exponentially growing amplitude, the growth rate of the instabilities depending on the steepness of the travelling wave profile. On the other hand, for certain physically realistic velocity profiles, steady flows moving only in the azimuthal direction, with no variation in this direction, are locally stable to the short-wavelength perturbations. This article is part of the theme issue ‘Nonlinear water waves’.

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