Vorticity

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Vorticity

</dt>
A vector measure of local rotation in a fluid flow, defined mathematically as the curl of the velocity vector,

Ω = Missing Image:img src="SP7_v_files/del.gif" alt="del operator" align="middle" X V
where

Ω is the vorticity; V is the velocity; and Missing Image:img src="SP7_v_files/del.gif" alt="del operator" is the del-operator. </dd>
The vorticity component normal to a small plane element is the lime of the circulation per unit area as the area of the element approaches zero. The vorticity of a solid rotation is twice the angular velocity vector. In meteorology, the vorticity usually refers to the vertical component of the vorticity as defined above. </dd>

References

This article is based on NASA's Dictionary of Technical Terms for Aerospace Use