3.2. Practice Problem

Try these first

1. 1.

   Define the continuity equation in fluid mechanics.

   Hint

   Think about the balance of mass entering and leaving a control volume.

2. 2.

   What does the Reynolds transport theorem relate?

   Hint

   Consider how we analyze fluid flow in different perspectives.

3. 3.

   What is the continuity equation?

   • Mass In - Mass Out = Change in Mass
   • Density x Volume = Mass
   • Velocity x Area = Flow Rate

   Hint

   Remember the balance of mass flow in and out of a control volume.

4. 4.

   True or False: The Reynolds transport theorem is used exclusively for mass conservation.

   • True
   • False

   Hint

   Consider its broader applications in fluid mechanics.

5. 5.

   A 10cm diameter pipe gradually narrows to 5cm. If water flows at 2m/s in the wider section, calculate the speed in the narrower section.

   Hint

   Remember to find both areas before calculating.

6. 6.

   In a tank, water flows out at a rate of 3L/s. If the tank has a square base with a side of 1m, calculate how fast the water surface level drops.

   Hint

   Convert units and maintain consistency in measurements.