Wind Setup: Difference between revisions

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<font color=red>'''UNDER  CONSTRUCTION'''</font>
<font color=red>'''UNDER  CONSTRUCTION'''</font>
== Analytical Solution ==
== Analytical Solution ==
     {{Equation| <math> \eta = \sqrt{2  \frac{\rho C_d  W^2}{\rho_a g} (x + C ) + h^2} - h </math> |2=1}}
The analytical solution for wind setup over a constant depth is given by
     {{Equation| <math> \eta = \sqrt{2  \frac{\rho_a C_d  W^2}{\rho g} (x + C ) + h^2} - h </math> |2=1}}
 
where <math>\eta</math> is the water surface elevation, <math>\rho</math> is the water density, <math>\rho_a</math> is the air density, <math>g</math> is the gravitational acceleration, <math>W</math> is the wind speed, <math>h</math> is the water depth, and <math>C</math> is a constant of integration.
‎[[Image:Wind_Setup_Dir0.png|thumb|left|600px| Figure 1. Comparison of computed water surface elevation to the analytical solution for an irregular basin with constant depth.]]
 
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Revision as of 15:24, 28 October 2010

UNDER CONSTRUCTION

Analytical Solution

The analytical solution for wind setup over a constant depth is given by

  η=2ρaCdW2ρg(x+C)+h2h (1)

where η is the water surface elevation, ρ is the water density, ρa is the air density, g is the gravitational acceleration, W is the wind speed, h is the water depth, and C is a constant of integration.

Figure 1. Comparison of computed water surface elevation to the analytical solution for an irregular basin with constant depth.



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