1.4. Conservation of Wave Power

Try these first

1. 1.

   What is the formula for wave power?

   Hint

   Think about what E and CG represent together.

2. 2.

   What does the shoaling coefficient (Ks) indicate?

   Hint

   Consider how waves behave when moving into shallower water.

3. 3.

   What is the relationship between wave height at deep and shallow water called?

   • Wave Conservation
   • Shoaling Coefficient
   • Mass Transport

   Hint

   Remember the specific name used for this phenomenon.

4. 4.

   Wave conservation implies power remains the same when waves transition between depths.

   • True
   • False

   Hint

   Consider the behavior of waves as they propagate.

5. 5.

   A wave in deep water has a height of 3 meters. Calculate the height of this wave when it is experienced in shallow water if the wave speed in deep water is 5 m/s and in shallow water is 4 m/s.

   Hint

   Utilize the shoaling coefficient relation you learned.

6. 6.

   Consider two waves: one steep and one with a long period. Compare their mass transport speed qualitatively and quantitatively. Provide equations and reasoning.

   Hint

   Look at how steepness affects the transport speed directly.