1.1. Dynamic Boundary Conditions

Try these first

1. 1.

   What is wave celerity?

   Hint

   Think of how fast you would need to swim to stay with a wave.

2. 2.

   Name one governing equation in wave mechanics.

   Hint

   It relates pressure and velocity in fluid flow.

3. 3.

   What governs wave celerity?

   • Water temperature
   • Wavelength and time period
   • Wind speed

   Hint

   Celerity involves wavelength—think about how waves move.

4. 4.

   True or False: The Laplace equation is not relevant to wave mechanics.

   • True
   • False

   Hint

   Recall our earlier discussion on governing equations.

5. 5.

   Given the wavelength and period, derive the wave celerity formula and discuss its physical significance.

   Hint

   Think of practical situations where this formula might apply.

6. 6.

   Analyze a scenario where wave speed is impacted by an increase in water depth. Explain using the dispersion relationship.

   Hint

   Reflect on how oceanic waves behave across continental shelves.