15.2. Control Volume and Reynolds Transport Theorem

Try these first

1. 1.

   Define a fixed control volume.

   Hint

   Think of an environment which does not change location.

2. 2.

   What is an example of a moving control volume?

   Hint

   Consider anything that can flow or change position.

3. 3.

   What is a control volume?

   • A physical mass
   • A measurement tool
   • A defined region in space for fluid analysis

   Hint

   Consider where fluids are being analyzed in a system.

4. 4.

   True or False: The Reynolds transport theorem relates fluid density to pressure changes.

   • True
   • False

   Hint

   Reflect on what the theorem is primarily concerned with.

5. 5.

   Given a steady flow in a pipe with an inlet area of 0.5 m² and outlet area of 0.3 m², how would you calculate the mass flow rate if the flow velocity at the inlet is 4 m/s?

   Hint

   Use the continuity equation to relate inflow and outflow.

6. 6.

   In a real-life scenario, how would you model the fluid flow in a dam that changes with rainfall? What types of control volumes would you consider?

   Hint

   Think about how water levels fluctuate with rain and how that affects flows.