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Incompressible, irrotational flow

The basic equations are
\begin{displaymath}
\nabla \cdot {\bf v} = 0,
\end{displaymath} (5.1)

and
\begin{displaymath}
\nabla \times {\bf v} = 0.
\end{displaymath} (5.2)

Equation (5.2) is automatically satisfied by setting ${\bf v} = -\nabla f$ and then (5.1) becomes
\begin{displaymath}
\nabla^{2}f = 0,
\end{displaymath} (5.3)

and the solution to Laplace's equation is required.



Prof. Alan Hood
2000-11-06