4.2. Mass Conservation in Control Volumes

Try these first

1. 1.

   What is a control volume in fluid mechanics?

   Hint

   It relates to what flows in and out of different boundaries.

2. 2.

   Define mass flux.

   Hint

   Think about how mass is distributed over an area.

3. 3.

   What does the control volume analyze in fluid mechanics?

   • Only inflow
   • Only outflow
   • Both inflow and outflow
   • None of the above

   Hint

   Think about how fluid enters and exits.

4. 4.

   True or False: Mass can be created within a control volume.

   • True
   • False

   Hint

   Consider the principles of mass conservation.

5. 5.

   Consider a platform where air is being compressed in a piston. How would you model the mass conservation when density varies significantly? Illustrate with equations.

   Hint

   Remember to account for the changes over time and adjust equations based on compressible flow.

6. 6.

   Analyze a cylindrical control volume with varying density and velocity. How would mass conservation principles apply in this case?

   Hint

   Visualize how each dimension contributes differently to mass inflow and outflow.