15.4.2. Moving Control Volume

Try these first

1. 1.

   Define a moving control volume in your own words.

   Hint

   Think about vehicles moving through air or water.

2. 2.

   What is the conservation of mass principle?

   Hint

   Consider how mass behaves in an isolated system.

3. 3.

   What does the conservation of mass principle states?

   • Mass can be created or destroyed
   • Mass inflow equals mass outflow
   • Mass remains constant in open systems

   Hint

   Think about the balance of mass in fluids.

4. 4.

   True or False: A deformable control volume can change in shape.

   • True
   • False

   Hint

   Consider materials that can stretch or compress.

5. 5.

   Calculate the mass flow rate of water entering a control volume where the diameter of the inlet pipe is 0.1m, velocity is 2m/s, and density is 1000kg/m³.

   Hint

   Remember to calculate the area of the pipe first.

6. 6.

   A ship with a moving control volume travels at 5m/s, while water velocity relative to the shore is 3m/s. Calculate the relative velocity of water across the ship's hull.

   Hint

   Think about the reference point for the velocities.