# Circulation integral

From Glossary of Meteorology

## circulation integral

The line integral of an arbitrary vector taken around a closed curve.

Thus, 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.

Copyright 2022 American Meteorological Society (AMS). For permission to reuse any portion of this work, please contact permissions@ametsoc.org. Any use of material in this work that is determined to be “fair use” under Section 107 of the U.S. Copyright Act (17 U.S. Code § 107) or that satisfies the conditions specified in Section 108 of the U.S.Copyright Act (17 USC § 108) does not require AMS’s permission. Republication, systematic reproduction, posting in electronic form, such as on a website or in a searchable database, or other uses of this material, except as exempted by the above statement, require written permission or a license from AMS. Additional details are provided in the AMS Copyright Policy statement.