13.1.7. Conservation of Mass

Try these first

1. 1.

   What is the conservation of mass principle?

   Hint

   Think about how mass behaves in a closed container.

2. 2.

   Define control volume.

   Hint

   Consider a pipe as an example.

3. 3.

   What does the conservation of mass state?

   • It states that mass can be created.
   • It states that the total mass remains constant.
   • It states that mass can be destroyed.

   Hint

   Consider the mass in a closed container.

4. 4.

   The Reynolds transport theorem connects the dynamics of which two concepts?

   • Particle motion and static fluid.
   • System analysis and control volumes.
   • Energy and work done.

   Hint

   Think about how mass behaviors change when fluid enters or exits a defined space.

5. 5.

   A cylindrical tank is filled with water. If water is drained at a constant rate, how does conservation of mass apply to the water level over time? Formulate an equation to represent this.

   Hint

   Consider the relationship between volume change and the area of the base.

6. 6.

   Using the Reynolds transport theorem, analyze how fluid velocity change impacts the momentum conservation of a moving vehicle through a water stream.

   Hint

   Think about how changes in velocity relate to forces exerted on the vehicle.