4.1.5. Mass Flux Components

Try these first

1. 1.

   Define mass flux.

   Hint

   Think of how much mass passes through a specific area.

2. 2.

   What is a control volume?

   Hint

   Consider any bounded region where mass exchanges are observed.

3. 3.

   What does mass flux refer to?

   • A. Volume flow rate
   • B. Mass per unit time
   • C. Mass flow rate per unit area

   Hint

   Think about what happens to mass when passing through an area.

4. 4.

   True or False: Density is a constant in all fluids.

   • True
   • False

   Hint

   Consider different fluids and their conditions.

5. 5.

   Given a control volume in a pipe with variable diameter, derive an expression for mass conservation as the diameter changes.

   Hint

   Apply the principle of mass conservation relating velocities and areas at both ends.

6. 6.

   Using the divergence theorem, prove how mass conservation leads to incompressible flow conditions.

   Hint

   Consider implications of zero divergence and relate it back to the overall flow dynamics.