3.1.2. Integral Approach

Try these first

1. 1.

   Define a control volume in fluid mechanics.

   Hint

   Think about the volume you measure for fluid properties.

2. 2.

   What is the principle of mass conservation?

   Hint

   Consider the law of conservation.

3. 3.

   What is a control volume?

   • A closed container
   • A defined region in space for analysis
   • An infinite space

   Hint

   Think about what regions of space we analyze.

4. 4.

   True or False: Mass conservation states that mass can be created in a closed system.

   • True
   • False

   Hint

   Consider the law of conservation.

5. 5.

   A cylindrical tank has an inflow of water at 10 m³/h and an outflow at 7 m³/h. How much mass is accumulated in the tank after 2 hours?

   Hint

   Think about how to incorporate inflow and outflow over time.

6. 6.

   Derive the partial differential equations governing mass conservation for a compressible fluid in a three-dimensional flow.

   Hint

   Recall how mass conservation principles connect with flow motion.