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in the core of each vortex, decay would be so slow that they would persist for hundreds of miles behind the airplane. In fact, these vortices only persist for tens of miles. The additional cause of the collapse of these vortices is large-scale instabilities such as Crow instability.
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These distortions grow, both through interaction from one vortex on another, and also 'Self
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line-vortex instability, named after its discoverer S. C. Crow. The effect of the Crow instability can often be observed in the skies behind large aircraft, when the
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as they persist for a significant period of time after the airplane has passed. If the decay of trailing vortices were due solely to
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The waves develop into either symmetric or anti-symmetric modes, depending on the nature of the initial disturbance.
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distortions in their vortex shapes (normally created by some initial disturbance in the system).
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The Crow instability is a vortex pair instability, and typically goes through several stages:
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The vortex amplitudes reach a critical value and reconnect, forming a chain of
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from the engines, producing visible distortions in the shape of the contrail.
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A pair of counter rotating vortices act upon each other to amplify small
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Crow, S. C. (1970). "Stability theory for a pair of trailing vortices".
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The wings of airplanes in flight produce at least one pair of
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The Crow instability is responsible for the shape of this
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