Circulation integral: Difference between revisions

From Glossary of Meteorology
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{{Term
 
|Display title=circulation integral
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|Meaning=The [[line integral]] of an arbitrary [[vector]] taken around a closed curve.
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|Explanation=Thus,  <blockquote>[[File:ams2001glos-Ce12.gif|link=|center|ams2001glos-Ce12]]</blockquote> is the circulation integral of the vector '''a''' around the closed curve and ''d'''''r''' is an infinitesimal vector  element of the curve. If the vector is the [[velocity]], this integral is called the [[circulation]].
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== circulation integral ==
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<div class="definition"><div class="short_definition">The [[line integral]] of an arbitrary [[vector]] taken around a closed curve.</div><br/> <div class="paragraph">Thus,  <div class="display-formula"><blockquote>[[File:ams2001glos-Ce12.gif|link=|center|ams2001glos-Ce12]]</blockquote></div> is the circulation integral of the vector '''a''' around the closed curve and ''d'''''r''' is an infinitesimal vector  element of the curve. If the vector is the [[velocity]], this integral is called the [[circulation]].</div><br/> </div>
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Latest revision as of 09:18, 26 March 2024

The line integral of an arbitrary vector taken around a closed curve.
Thus,
ams2001glos-Ce12
is the circulation integral of the vector a around the closed curve and dr is an infinitesimal vector element of the curve. If the vector is the velocity, this integral is called the circulation.
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