14.2. Reynolds Transport Theorem

Try these first

1. 1.

   Define an extensive property in your own words.

   Hint

   Think about properties that change as you add or remove mass.

2. 2.

   What is the main purpose of the Reynolds Transport Theorem?

   Hint

   Consider how conservation laws interact with defined regions of fluid flow.

3. 3.

   What does Reynolds Transport Theorem connect?

   • Conservation of mass only
   • All conservation laws
   • Only energy conservation

   Hint

   Consider how conservation applies to different properties.

4. 4.

   True or False: An intensive property depends on the mass of the system.

   • True
   • False

   Hint

   Think about whether the property changes as mass is added.

5. 5.

   A diver under water observes the pressure gradient. Describe how the principles of RTT apply to fluid dynamics in terms of pressure and fluid mass.

   Hint

   Consider fluid behavior under varied pressures and flow rates.

6. 6.

   Using a river system as a control volume, analyze how seasonal changes affect the flux of nutrients entering and leaving the system. Discuss what that means in context of RTT.

   Hint

   Think about how flow rates and density might change due to seasonal weather effects.