Parametric instability in oscillatory shear flows
نویسندگان
چکیده
منابع مشابه
Parametric instability in oscillatory shear flows
In this article we investigate time-periodic shear flows in the context of the twodimensional vorticity equation, which may be applied to describe certain large-scale atmospheric and oceanic flows. The linear stability analyses of both discrete and continuous profiles demonstrate that parametric instability can arise even in this simple model: the oscillations can stabilize (destabilize) an oth...
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We consider barotropic instability of shear flows for incompressible fluids with Coriolis effects. For a class of shear flows, we develop a new method to find the sharp stability conditions. We study the flow with Sinus profile in details and find sharp stability boundary in the whole parameter space, which correct previous results in the fluid literature. The addition of the Coriolis force is ...
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Time-periodic shear flows can give rise to Parametric Instability (PI), as in the case of the Mathieu equation (Stoker, 1950; Nayfeh and Mook, 1995). This mechanism results from a resonance between the oscillatory basic state and waves that are superimposed on it. Farrell and Ioannou (1996a, b) explain that PI occurs because the snapshots of the velocity profile are subject to transient growth....
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ژورنال
عنوان ژورنال: Journal of Fluid Mechanics
سال: 2003
ISSN: 0022-1120,1469-7645
DOI: 10.1017/s0022112003004051