3.3. Generalized Form of Reynolds Transport Theorem

Try these first

1. 1.

   Define Reynolds Transport Theorem in your own words.

   Hint

   Think about the flow of properties across boundaries.

2. 2.

   What is the difference between extensive and intensive properties?

   Hint

   Consider properties like mass vs temperature.

3. 3.

   What does the Reynolds Transport Theorem primarily relate?

   • The inflow of energy
   • The rate of change of an extensive property
   • The mass of a fluid

   Hint

   Think about what properties change with fluid flow.

4. 4.

   True or False: Intensive properties are dependent on the size of the system.

   • True
   • False

   Hint

   Consider what defines extensive vs intensive properties.

5. 5.

   A tank is filled with water and has an exit pipe. Using the Reynolds Transport Theorem, calculate how the water level changes as 100 liters flows out over a period while water is being pumped in at 10 liters per minute.

   Hint

   Consider the flow rates and times distinctly.

6. 6.

   Consider a complex system with multiple inlets and outlets. Determine how to set up the RTT for this system, describing key components of B in and B out.

   Hint

   Make sure to account for different time intervals and changes.