# Slab Wave Potential

A slab is a piece of reef that sticks out in deep water or deep water sits behind it. Most slabs break in the same spot. In the figure below, the **HUG** slab wave, 1, moves fast and hits a shallow reef, 4, at full speed. It lifts out of nowhere within seconds. **HUG **Slab waves are heavy reef breaks coming out of deep water and breaking in very shallow water. As a thick lip unloads on a shelf, the water doesn’t have anywhere to go but upwards **overtopping **into a reservoir with all their open-ocean energy intact. That energy gets focused as the depth suddenly decreases.

Acceleration = a = g (acceleration of gravity) = 9.8 m^{3}/sec^{ }**(Final Velocity) ^{2} = 2 x a x s **

In the **summer**, the head of water is 1.5 m from water forcing through the automatic gates of the artificial reef:

**Final Velocity **= **5.42 m/sec **for 1.5 m drop (**s**):

In the **winter**, the head of water is 5 m from water washing over the walls of the artificial reef:

**Final Velocity **= **9.9 m/sec **for 5 m drop (**s**) of the crest to sea level.

Wave heights during storms may exceed 10 meters (33 feet)

*Final Power of the Helical Turbine*

The formula for Kinetic Energy is KE= ½ x **A** x **V** ^{3} x (.35) efficiency (A = area swept; Velocity)

Diameter of the Helical Turbine in the **HUG** is 1 m. The radius is 0.5 m: **A** = π r^{2} = π (0.5)^{2} = **.785 m ^{2} **

- = ½ x
**.785 m**x (^{2}**42 m/sec**)^{3 }x .35 =**21.9**kW/turbine in summer x 7=**.153 MW HUG**System - = ½ x
**.785 m**x (^{2}**9 m/sec**)^{3 }x .35 =**132.6**kW/turbine in winter x 7=**.927 MW****HUG**System

The velocity of the speed at which a wave travels in winter: period is every 7 seconds for a velocity of **7.6 m/sec** (25 ft/sec).

The average height is normally 3m to 4m (10 ft to 13 ft). The slab wave increases by 250%: 7.5 m to 10 m

The individual waves break when their wave height *H* is larger than 0.8 times the water depth *h:* a breaker 2 m high would occur in water 2.4 m deep.

Wave heights are amplified in the region of shallower water. At the wave period of 7 seconds, the significant wave height is 2 m high at depths of 12 m. The slab wave configuration raises the height to 5 m.

The formula for Kinetic Energy is KE= ½ x **A** x **V **^{3} x (.35) efficiency (A = area swept; Velocity).

(Diameter of the Helical Turbine Area: 1 m) = .5 x .5 x 3.14 = **.785 m ^{2 }**The area of the throat of the

**HUG**is .785 m

^{2}: radius is 0.5 meter.