Tuesday, May 24, 2011

What is Circulation?

Circulation is the line integral of a vector quantity on a closed plath.

For example, consider an arbitrary curve forming a closed path. Also consider a vector quantity F acting on this path. Let's say the closed path is split into several segments of length dl.



Then the differential circulation dΓ is the scalar product of the differential length and the vector quantity acting on that length. Meaning,



So, the circulation is the sum of all the differential circulation quantities as the differential length approaches zero. Meaning,

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