1.3. Equation of Elliptical Orbits

Try these first

1. 1.

   What is a velocity potential in fluid dynamics?

   Hint

   Think about how fluids move and are analyzed mathematically.

2. 2.

   Define elliptical orbits in the context of water particle motion.

   Hint

   Consider the shape of a basketball court.

3. 3.

   What type of motion do water particles follow at greater depths?

   • Elliptical
   • Circular
   • Random

   Hint

   Think about the relationship between D and B.

4. 4.

   True or False: In shallow water, particles exhibit circular motion.

   • True
   • False

   Hint

   Recall the conditions defining shallow water.

5. 5.

   Given the wave height of 2 meters and depth of 0.5 meters, calculate D and B in shallow water.

   Hint

   Apply the definitions for D and B in shallow conditions.

6. 6.

   Explain the transition of particle motion from elliptical to circular as water depth increases, supporting with mathematical evidence.

   Hint

   Consider how D and B are defined and change with depth.