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单词 vorticity
释义
vorticity

Mathematics
  • For a fluid with velocity u, the vorticity ω‎ equals curlu. A flow with zero vorticity is called irrotational. See circulation, curl.


Geology and Earth Sciences
  • The measure of the amount of rotary or circular motion in a water or air mass about a vertical axis. Two types can be distinguished: ‘relative vorticity’ is rotation relative to the Earth’s surface (it is positive if cyclonic, with the rotation in the same direction as the Earth’s direction of rotation, and negative if anticyclonic); ‘absolute vorticity’ is relative vorticity plus the component of the Earth’s rotation about its axis. Absolute vorticity is at a maximum at the poles and zero at the equator.


Geography
  • In meteorology, a measure of the local spin of a part of the atmosphere. The local spin of the atmosphere relative to the Earth has opposite signs in cyclones and anticyclones; conventionally the cyclonic direction is taken as positive. A major principle governing the vorticity change of flowing air is the conservation of angular momentum: as air spreads out horizontally, the rate of spin falls; as it contracts horizontally, its rate of spin rises. Bornstein et al. (1996, J. App. Met. 35) and Schayes et al. (1996, J. App. Met. 35) describe and evaluate a general-purpose vorticity-mode mesoscale model. Absolute vorticity is the sum of the planetary vorticity, which is associated with the rotation of Earth, and relative vorticity, which is associated with the fluid motion relative to the surface of Earth.


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