next up previous contents
Next: Teoremi utili Up: Rotore Previous: Coordinate cilindriche   Indice

$ \vec{\omega}\wedge\vec{V}$

Ricordando che:

$\displaystyle \vec{\omega}=\nabla \wedge \vec{V}
$

\begin{displaymath}
\vec{\omega} \wedge \vec{V}=
\left\vert
\begin{array}{ccc}
\...
...ial \theta}}\right)\\
u_r&u_\theta&u_z
\end{array}\right\vert
\end{displaymath}

Svolgendo i calcoli e riorganizzando:

\begin{displaymath}
\begin{array}{rcl}
\vec{\omega} \wedge \vec{V}&=&
\vec{\imat...
...math{\frac{\partial \vec{V}^2}{\partial z}}
\right]
\end{array}\end{displaymath}



2009-01-26