4.3.2. Mass Conservation Equations

Try these first

1. 1.

   Define mass conservation in your own words.

   Hint

   Think about how fluids behave in a closed container.

2. 2.

   What does incompressible flow mean?

   Hint

   Consider how liquids act under pressure.

3. 3.

   What is the principle of mass conservation?

   • Mass can be created
   • Mass can be destroyed
   • Mass remains constant in an isolated system

   Hint

   Focus on the concept of mass in closed systems.

4. 4.

   Is incompressible flow characterized by variable density?

   • True
   • False

   Hint

   Think about the definition of incompressibility.

5. 5.

   A cylindrical tank receives water at a rate of 1 L/s and drains at 0.8 L/s. Calculate the rate at which the water level in the tank rises.

   Hint

   Think about how volume changes with area and time.

6. 6.

   A water jet strikes a plate perpendicularly with a mass flow rate of 3 kg/s and velocity of 10 m/s. Find the force exerted on the plate.

   Hint

   Use the momentum principle for fluids.