Circulation (fluid Dynamics)

Circulation (fluid Dynamics)

In fluid dynamics, circulation is the line integral around a closed curve of the fluid velocity. Circulation is normally denoted .

If is the fluid velocity on a small element of a defined curve, and is a vector representing the differential length of that small element, the contribution of that differential length to circulation is :

where is the angle between the vectors and .

The circulation around a closed curve is the line integral:

The dimensions of circulation are length squared, divided by time.

Circulation was first used independently by Frederick Lanchester, Wilhelm Kutta, and Nikolai Zhukovsky.

Read more about Circulation (fluid Dynamics):  Kutta–Joukowski Theorem, Relation To Vorticity

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