21.4.1. Mass Conservation Equation

Try these first

1. 1.

   What does the mass conservation equation state?

   Hint

   Consider how mass behaves in fluids.

2. 2.

   What is the momentum flux correction factor (β) for laminar flow?

   Hint

   Think about the difference between average and actual flow.

3. 3.

   What is the mass conservation equation?

   Hint

   Remember it deals with mass in flows.

4. 4.

   True or False: The momentum flux correction factor for turbulent flow is typically equal to 1.

   • True
   • False

   Hint

   Think about how turbulent flows behaves compared to laminar.

5. 5.

   In a pipe system, calculate the force acting on a gate where h1 = 12m, h2 = 4m, with a velocity of 1.2m/s. Assume ρ = 1000 kg/m³.

   Hint

   Consider how pressure varies with height.

6. 6.

   A cylindrical tank has water flowing in at a rate of 20 liters/min. If the average height of water is 3m, find the force acting on the tank's base.

   Hint

   Think how to relate volume flow rate to height and pressure.