18.4.3. Control Volume Approach

Try these first

1. 1.

   Define Control Volume in your own words.

   Hint

   Think about what a volume represents in the physical context of fluid flow.

2. 2.

   What does Reynolds Transport Theorem relate?

   Hint

   Consider how we connect quantities over time to the boundaries of a volume.

3. 3.

   What does Reynolds Transport Theorem primarily help us with?

   • Describing temperatures in fluids
   • Linking system properties to control volumes
   • Defining fluid viscosity

   Hint

   Think about how properties affect control volumes.

4. 4.

   True or False: In steady flow, the time derivatives in Reynolds Transport Theorem can be neglected.

   • True
   • False

   Hint

   Consider the implications of properties changing over time.

5. 5.

   A large tank has an inflow of 100 lit/sec and an outflow of 80 lit/sec. Calculate how the mass storage changes in the tank over a 10-minute period.

   Hint

   Consider the net inflow and multiply by time to find total change.

6. 6.

   For a control volume with body force due to gravity and a lateral surface force due to pressure change, derive the equation for momentum change.

   Hint

   Start from Newton’s second law and consider how each force contributes.