15.4.3. Uniformly Moving Control Volume

Try these first

1. 1.

   What is a fixed control volume?

   Hint

   Consider its movement relative to fluid.

2. 2.

   Define Reynolds Transport Theorem.

   Hint

   Think about how mass and energy are transferred.

3. 3.

   What type of control volume does not move?

   • Fixed Control Volume
   • Moving Control Volume
   • Deformable Control Volume

   Hint

   Think about its position relative to surrounding fluids.

4. 4.

   True or False: In a moving control volume, the shape remains constant.

   • True
   • False

   Hint

   Think about how ships and balloons behave in water.

5. 5.

   A ship moves at a constant velocity in tranquil waters. Derive the mass conservation equations governing the flow around it, assuming steady-state conditions.

   Hint

   Use the Reynolds Transport Theorem for your derivation.

6. 6.

   Analyze an expanding balloon underwater. Derive the relationship between the change of volume, fluid flow into the balloon, and mass conservation principles.

   Hint

   Think of the balloon's elasticity and pressure differences.