# Difference between revisions of "Vorticity"

From Glossary of Meteorology

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− | <div class="definition"><div class="short_definition">A [[vector]] measure of local rotation in a fluid flow, defined mathematically as the [[curl]] of the [[velocity]] vector, <div class="display-formula"><blockquote>[[File:ams2001glos-Ve19.gif|link=|center|ams2001glos-Ve19]]</blockquote></div> where ζ is the vorticity, '''u''' the velocity, and '''∇''' the [[del operator]].</div><br/> <div class="paragraph">The vorticity component normal to a small plane element is the limit of the [[circulation]] per unit area as the area of the element approaches zero (<br/>''see'' [[Stokes's theorem]]). 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. <br/>''See also'' [[relative vorticity]], [[absolute vorticity]], [[geostrophic vorticity]], [[thermal vorticity]], [[vorticity equation]], [[curl]]; <br/>''compare'' [[deformation]], [[divergence]].</div><br/></div> | + | <div class="definition"><div class="short_definition">A [[vector]] measure of local rotation in a fluid flow, defined mathematically as the [[curl]] of the [[velocity]] vector, <div class="display-formula"><blockquote>[[File:ams2001glos-Ve19.gif|link=|center|ams2001glos-Ve19]]</blockquote></div> where ζ is the vorticity, '''u''' the velocity, and '''∇''' the [[del operator]].</div><br/> <div class="paragraph">The vorticity component normal to a small plane element is the limit of the [[circulation]] per unit area as the area of the element approaches zero (<br/>''see'' [[Stokes's theorem]]). 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. <br/>''See also'' [[relative vorticity]], [[absolute vorticity]], [[geostrophic vorticity|geostrophic vorticity]], [[thermal vorticity]], [[vorticity equation]], [[curl]]; <br/>''compare'' [[deformation]], [[divergence]].</div><br/></div> |

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## Revision as of 17:13, 25 April 2012

## vorticity

A vector measure of local rotation in a fluid flow, defined mathematically as the curl of the velocity vector, where ζ is the vorticity,

**u**the velocity, and**∇**the del operator.The vorticity component normal to a small plane element is the limit of the circulation per unit area as the area of the element approaches zero (

*see*Stokes's theorem). 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.*See also*relative vorticity, absolute vorticity, geostrophic vorticity, thermal vorticity, vorticity equation, curl;*compare*deformation, divergence.