1.9. Dynamic boundary conditions

Try these first

1. 1.

   What is a boundary value problem?

   Hint

   Think about how we define the edges of a region.

2. 2.

   What signifies a kinematic boundary condition?

   Hint

   What happens if there's a wall?

3. 3.

   What is a dynamic boundary condition?

   • A condition that relates to the physical behavior at fluid surfaces
   • A type of fluid that is highly viscous
   • An equation that has multiple solutions

   Hint

   Think about how water interacts with its environment.

4. 4.

   True or False: Kinematic boundary conditions require that velocity is zero at fixed surfaces.

   • True
   • False

   Hint

   What happens to fluid motion at a wall?

5. 5.

   A fluid flows in an open channel. Describe the dynamic boundary conditions at the water surface and at the channel's bottom. How would they affect the flow's velocity profile?

   Hint

   Think about how you would assess flow speed at different locations.

6. 6.

   You are tasked with simulating a two-dimensional flow in a tank. Define the kinematic boundary conditions you would apply on the tank's walls and at the water surface. How would you ensure correct flow representation?

   Hint

   Consider how water interacts with its container.