Wave Energy Density and Flux

Energy Density, Energy Flux and Momentum Flux of Surface Waves

[math]\displaystyle{ \bar{\varepsilon} (t) = \ \mbox{Energy in control volume} \ \lt math\gt \gamma(t) }[/math] :

[math]\displaystyle{ \varepsilon (t) = \rho \iiint_V \left( \frac{1}{2} V^2 + gZ \right) dV }[/math]

Mean energy over unit horizongtal surface area [math]\displaystyle{ S \, }[/math] :

[math]\displaystyle{ \bar{\varepsilon} = \bar{\frac{\varepsilon{t}}{S}} = \rho }[/math]