15.2.2. Derivation of Conservation of Mass

Try these first

1. 1.

   Define control volume.

   Hint

   Think about areas defined for analysis in physics.

2. 2.

   What does the Reynolds transport theorem relate?

   Hint

   Consider how movements affect quantities.

3. 3.

   What is a control volume?

   • A rigid container
   • A defined area for fluid analysis
   • An abstract concept

   Hint

   Consider where you analyze fluid flows.

4. 4.

   True or False: In steady flow, mass can build up inside a control volume.

   • True
   • False

   Hint

   Think about the inflow and outflow balance.

5. 5.

   Design a control volume for a river with varying flow rates and calculate the mass flow rate at two points along the bank.

   Hint

   Consider using water velocity and cross-sectional area.

6. 6.

   Explain the differences in handling mass conservation for steady versus unsteady flows in practical applications.

   Hint

   Think about how flow rates change.