Wave Energy Density and Flux: Difference between revisions

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Mean energy over unit horizongtal surface area <math> S \, </math> :
Mean energy over unit horizongtal surface area <math> S \, </math> :


<center><math> \overline{\varepsilon} = \overline{\frac{\varepsilon(t)}{S}} = \rho \overline{ \int_{-H}^{\xi(t)} \left( \frac{1}{2} V^2 + gZ \right) dZ  </math></center>
<center><math> \overline{\varepsilon} = \overline{\frac{\varepsilon(t)}{S}} = \rho \overline{ \int_{-H}^{\xi(t)} \left( \frac{1}{2} V^2 + gZ \right) dZ} </math></center>

Revision as of 08:57, 26 January 2007

Energy Density, Energy Flux and Momentum Flux of Surface Waves

[math]\displaystyle{ \varepsilon(t) = \ \mbox{Energy in control volume} \ \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{ \overline{\varepsilon} = \overline{\frac{\varepsilon(t)}{S}} = \rho \overline{ \int_{-H}^{\xi(t)} \left( \frac{1}{2} V^2 + gZ \right) dZ} }[/math]
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