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Circulation (fluid dynamics)
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Circulation (fluid dynamics) : ウィキペディア英語版
Circulation (fluid dynamics)

In fluid dynamics, circulation is the line integral around a closed curve of the velocity field. Circulation is normally denoted Γ (Greek uppercase gamma). Circulation was first used independently by Frederick Lanchester, Wilhelm Kutta, and Nikolai Zhukovsky.
==Definition==

If V is the fluid velocity on a small element of a defined curve, and ''d''l is a vector representing the differential length of that small element, the contribution of that differential length to circulation is ''d''Γ:
:d\Gamma=\mathbf\cdot \mathbf=|\mathbf||d\mathbf|\cos \theta
where ''θ'' is the angle between the vectors V and ''d''l.
The circulation around a closed curve ''C'' is the line integral:
:\Gamma=\oint_\mathbf\cdot d\mathbf
The dimensions of circulation are length squared, divided by time; L2⋅T−1, which is equivalent to velocity times length.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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