1.3. Formation of Velocity Potential

Try these first

1. 1.

   Define velocity potential.

   Hint

   Think about how it relates to the flow's energy.

2. 2.

   What does the Laplace equation describe?

   Hint

   Consider its role in gradients.

3. 3.

   What is the Laplace equation used for?

   • Describing pressure flow
   • Governing potential flow
   • Calculating velocity

   Hint

   Think about its relationship to velocity and pressure.

4. 4.

   True or False: Celerity of a wave increases with decreasing depth.

   • True
   • False

   Hint

   Visualize how waves behave in shallow areas.

5. 5.

   Given a wave with a wavelength of 10 meters and a period of 2 seconds, calculate its celerity and discuss its implications on wave behavior.

   Hint

   Reflect on the relationship between wavelength and wave transmission speed.

6. 6.

   Using the dispersion relationship equation σ² = gk tanh(kd), derive values for k when the wave's angular frequency σ is known.

   Hint

   Think about how varying depth affects k's value and wave dynamics.