Elliptical instability in a stably stratified rotating fluid

1993 ◽  
Vol 5 (11) ◽  
pp. 2702-2709 ◽  
Author(s):  
Takeshi Miyazaki
Keyword(s):  
Rotating Fluid ◽  
Elliptical Instability

scholarly journals Further Evidence for an Elliptical Instability in Rotating Fluid Bars and Ellipsoidal Stars

2007 ◽  
Vol 665 (2) ◽  
pp. 1074-1083 ◽  
Author(s):  
Shangli Ou ◽  
Joel E. Tohline ◽  
Patrick M. Motl
Keyword(s):  
Rotating Fluid ◽  
Elliptical Instability

Finite amplitude disturbances in a rotating fluid

Tellus ◽  
1971 ◽  
Vol 23 (1) ◽  
pp. 82-86
Author(s):  
Robert R. Long
Keyword(s):  
Finite Amplitude ◽  
Rotating Fluid

LABORATORY STUDIES OF THE OF EDDY FORMATION IN ROTATING AND NON-ROTATING FLUID DUE TO SPATIALLY NON-UNIFORM WIND FORCING

2017 ◽  
Author(s):  
Dmitry Elkin ◽  
Dmitry Elkin ◽  
Andrey Zatsepin ◽  
Andrey Zatsepin
Keyword(s):  
Water Area ◽  
The Black Sea ◽  
Rotating Fluid ◽  
Rotating Platform ◽  
Cyclonic Vorticity ◽  
Dipole Structure ◽  
Air Jet ◽  
Vortex Dipole ◽  
Eddy Formation ◽  
Observation Results

Laboratory investigation of eddy formation mechanism due to spatially non-uniform wind impact was fulfilled. Experiment was provided in a cylindrical and a square form tank filled with homogeneous or stratified fluid and displaced on a rotating platform. In the absence of the platform rotation, an impact of the single air jet lead to the formation of a symmetric vortex dipole structure that occupied the whole water area in the tank. In the presence of the platform rotation, a compact anticyclonic eddy was formed in a part of the dipole with anticyclonic vorticity, while in a part with cyclonic vorticity no any compact eddy was observed. The laboratory results were successfully compared with the field observation results fulfilled in the at the Black Sea coastal zone near Gelendzhik.

scholarly journals Wave equation and dispersion relations for a compressible rotating fluid

2007 ◽  
Vol 362 (1) ◽  
pp. 57-60 ◽  
Author(s):  
José Marín-Antuña ◽  
Richard L. Hall ◽  
Nasser Saad
Keyword(s):  
Wave Equation ◽  
Dispersion Relations ◽  
Rotating Fluid

Nonlinear evolution of the elliptical instability: an example of inertial wave breakdown

1999 ◽  
Vol 396 ◽  
pp. 73-108 ◽  
Author(s):  
D. M. MASON ◽  
R. R. KERSWELL
Keyword(s):  
Finite Amplitude ◽  
Complex Conjugate ◽  
Small Scale ◽  
Conjugate Pair ◽  
Weakly Nonlinear ◽  
Elliptical Instability ◽  
Elliptical Flow ◽  
Complex Conjugate Pair ◽  
Generic Instability ◽  
Secondary Instabilities

A direct numerical simulation is presented of an elliptical instability observed in the laboratory within an elliptically distorted, rapidly rotating, fluid-filled cylinder (Malkus 1989). Generically, the instability manifests itself as the pairwise resonance of two different inertial modes with the underlying elliptical flow. We study in detail the simplest ‘subharmonic’ form of the instability where the waves are a complex conjugate pair and which at weakly supercritical elliptical distortion should ultimately saturate at some finite amplitude (Waleffe 1989; Kerswell 1992). Such states have yet to be experimentally identified since the flow invariably breaks down to small-scale disorder. Evidence is presented here to support the argument that such weakly nonlinear states are never seen because they are either unstable to secondary instabilities at observable amplitudes or neighbouring competitor elliptical instabilities grow to ultimately disrupt them. The former scenario confirms earlier work (Kerswell 1999) which highlights the generic instability of inertial waves even at very small amplitudes. The latter represents a first numerical demonstration of two competing elliptical instabilities co-existing in a bounded system.

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