1. Velocity Potential Derivation

Try these first

1. 1.

   What is the primary governing equation used in deriving velocity potential?

   Hint

   Think about fluid movements.

2. 2.

   Name one boundary condition used in the derivation.

   Hint

   Consider energy conservation in fluids.

3. 3.

   What is the governing equation for velocity potential?

   • A: Bernoulli’s equation
   • B: Continuity equation
   • C: Laplace equation

   Hint

   It's the name of a famous mathematician.

4. 4.

   Dynamic boundary conditions impact potential terms true or false?

   • True
   • False

   Hint

   Think about waves and forces.

5. 5.

   Given a wave with a wavelength of 5 m and period of 2 s, calculate the celerity. How does varying water depth affect this calculation?

   Hint

   Think about how depth can change behavior of waves.

6. 6.

   If the water depth is altered for a uniform wave train, how would the derived potential expression change?

   Hint

   Consider how deeper waves travel compared to shallow waves.