13.1.9. Conservation of Energy

Try these first

1. 1.

   Define control volume in fluid mechanics.

   Hint

   Think about areas where fluid properties are studied.

2. 2.

   What does the Reynolds transport theorem connect?

   Hint

   Look for how fluid properties relate between two perspectives.

3. 3.

   What does a control volume help analyze?

   • Individual fluid particles
   • Mass
   • momentum
   • and energy
   • Only kinetic energy

   Hint

   It's about simplifying the flow analysis.

4. 4.

   True or False: The Reynolds transport theorem can relate system properties to control volume properties.

   • True
   • False

   Hint

   Think about what the theorem is designed for.

5. 5.

   Design a water distribution system for a multi-story building using principles of energy conservation. How would you ensure efficient flow with minimal energy loss?

   Hint

   Utilize pump height calculations that keep energy costs low while ensuring adequate flow rates.

6. 6.

   Given a closed water tank with an outlet at the base, apply the Reynolds transport theorem to determine the forces acting on the water as it drains.

   Hint

   Focus on how mass conservation and momentum change as water exits the tank.