Vorticity:


\begin{displaymath}\vec{\omega} = \nabla \times \vec{v} = \left( {\frac{\partial...
...}{\partial x} - \frac{\partial u}{\partial y} \right)\hat {k}
\end{displaymath}

Relationship between vorticity and circulation - Apply Stokes' Theorem:

\begin{displaymath}\Gamma = \oint\limits_C \vec{v} \cdot d\vec{x} \underbrace{=}...
...a } \cdot \hat {n}dS = \mbox{\ Flux of vorticity out of\ }
S
\end{displaymath}



Karl P Burr
2003-07-07