2.3. Equating Velocity Potential Terms

Try these first

1. 1.

   What is celerity in the context of waves?

   Hint

   Think about how fast a wave moves.

2. 2.

   Name the governing equation used in fluid dynamics analysis.

   Hint

   It’s a basic equation involving potential flow.

3. 3.

   What does wave celerity represent?

   • The speed of the wave
   • The height of the wave
   • The period of the wave

   Hint

   What measures how fast the wave travels through water?

4. 4.

   True or False: The Laplace equation is not relevant in fluid dynamics.

   • True
   • False

   Hint

   Consider its importance in calculating potential flow.

5. 5.

   If a wave has a wavelength of 20 meters and a period of 5 seconds, calculate the wave celerity.

   Hint

   Remember, celerity is the ratio of wavelength to time period.

6. 6.

   Derive and solve the dispersion relationship if the water depth is 10 meters and the wave number k is known.

   Hint

   Plug the numbers in carefully and use a calculator for the tanh function.