14.2.3. Derivation of Reynolds Transport Theorem

Try these first

1. 1.

   Define extensive and intensive properties.

   Hint

   Think about how they scale with mass.

2. 2.

   What does the Reynolds Transport Theorem relate?

   Hint

   Consider conservation of mass, momentum, and energy.

3. 3.

   What is the primary purpose of the Reynolds Transport Theorem?

   • To analyze fluid motion
   • To connect system and control volume dynamics
   • To measure fluid pressure

   Hint

   Think about how we analyze changes in fluid properties.

4. 4.

   True or False: Intensive properties depend on the mass of a substance.

   • True
   • False

   Hint

   Recall the definitions of extensive and intensive properties.

5. 5.

   A tank has water flowing in at a rate of 5 L/min and flowing out at 3 L/min. At what rate is the total water volume in the tank changing?

   Hint

   Consider how the net flow affects the volume over time.

6. 6.

   During a hurricane, the influx of seawater into a coastal area drastically increases. If the control volume initially has 1000 m³ of seawater and the influx rate is 200 m³/hr with a 50 m³/hr outflux, what will the volume be after 5 hours?

   Hint

   Apply the RTT concept: volume changes due to flux in and out of the control volume.