3.1.8. Derivation of Mass Conservation Equations

Try these first

1. 1.

   What is the definition of a Control Volume?

   Hint

   Think about the boundaries in your analysis.

2. 2.

   What does the integral approach in fluid mechanics consider?

   Hint

   Focus on whole systems!

3. 3.

   What does the conservation of mass state?

   • Mass can be created
   • Mass can be destroyed
   • Mass cannot be created or destroyed

   Hint

   Recall the definition of conservation.

4. 4.

   Is the integral approach focused on detailed fluid behavior?

   • True
   • False

   Hint

   Consider how broad vs. detailed analyses differ.

5. 5.

   Apply mass conservation equations to design a pipeline system ensuring constant flow under varying pressure.

   Hint

   Use pressure and mass flux equations to validate designs.

6. 6.

   A reactor has a finite volume where the fluid's density and velocity change. Derive the mass conservation equation given the inflow and outflow rates.

   Hint

   Consider the implications of flux at both inlet and outlet conditions.