Transcription of VORTEX DYNAMICS 1. Introduction
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VORTEX DYNAMICS1. IntroductionA VORTEX is commonly associated with the rotating motion of uid around acommon centerline. It is de ned by thevorticityin the uid, which measuresthe rate of local uid rotation. Typically, the uid circulates around the VORTEX ,the speed increases as the VORTEX is approached and the pressure decreases. Vor-tices arise in nature and technology in a large range of sizes as illustrated by theexamples given in Table 1. The next section presents some of the mathematicalbackground necessary to understand VORTEX formation and evolution.
A vortex is typically deflned by a region in the °uid of concentrated vorticity. A simple model is a point vortex in 2D °ow, which corresponds to a straight vortex fllament of unit circulation. The associated scalar vorticity is a delta function in the plane, and the induced velocity is obtained from the Biot-Savart law.
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