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

Famous quotes containing the word circulation:

    Thought reading is like the circulation of the blood. We are all thought readers only we don’t pay attention to it.
    Samuel Butler (1835–1902)