# Circulation

From Encyclopedia of Mathematics

*of a vector field along a closed curve *

The integral

In coordinate form the circulation is equal to

The work performed by the forces of the field in displacing a test body (of unit mass, charge, etc.) along is equal to the circulation of the field along . See Stokes theorem.

#### Comments

This notion is also called a line integral (of a vector field) along a closed curve.

**How to Cite This Entry:**

Circulation.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Circulation&oldid=13781

This article was adapted from an original article by BSE-3 (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article