View source for Vorticity


{{ Definition| title = Vorticity
| definition = Describes the locally spinning motion of a fluid. }}


==Notes==

In three dimensions, the vorticity <math>\vec{\Omega}</math> is a vector <math>\vec{\Omega} = \vec{\nabla} \times \vec{v}</math>, where <math>\vec{v}</math> is the velocity vector with components <math>(u, v, w)</math> along the <math>(x, y, z)</math> directions.

In two dimensions <math>(x, y)</math>, the vorticity is a scalar, <math>\Omega=\Large\frac{\partial v}{\partial x}\normalsize - \Large\frac{\partial u}{\partial y}\normalsize</math>.