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Energy Propagation - Group velocity


\begin{figure}
\begin{center}
\epsfig{file=lfig2012.eps,height=1.7in,clip=}
\end{center}
\end{figure}

Consider a fixed control volume V to the right of `screen' S. Conservation of energy:

\begin{displaymath}\underset{\frac{dW}{dt}}{\mbox{Rate of work done on S\ }} =
...
... V\ }}
= \underset{F}{\mbox{\ energy flux left to right.}}
\end{displaymath}

where
\begin{align}F = & \int\limits_{ - h}^\eta {p u\mbox{ }dy} \mbox{\ with\ } p = -...
..._g } = \overline E \left( {nV_p } \right) =
\overline E V_g \notag
\end{align}

e.g. A = 3m, T = 10 sec $ \to \overline F = 400{KW} \mathord{\left/
{\vphantom {{KW} m}} \right. \kern-\nulldelimiterspace} m$

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