21.4. Control Volume Analysis

Try these first

1. 1.

   What is a momentum flux correction factor?

   Hint

   Think about how average velocities can differ from actual flow.

2. 2.

   Describe hydrostatic pressure.

   Hint

   What happens to pressure as depth increases?

3. 3.

   What does the correction factor (beta) represent?

   • Average velocity approximation
   • Uniform flow distribution
   • Non-uniform velocity distribution

   Hint

   Think of how flows may not always be even.

4. 4.

   Is hydrostatic pressure significant in moving flows?

   • True
   • False

   Hint

   Consider the flow's motion.

5. 5.

   A cylindrical tank with a radius of 2m discharges water through a nozzle of 0.5m radius at a velocity of 5m/s. Calculate the force exerted on the walls of the nozzle.

   Hint

   Use flow rate continuity for your calculations.

6. 6.

   If the density of water is 1000 kg/m³, find the force on a sluice gate when the flow depth is 8m, and the velocity is 3m/s.

   Hint

   Apply the hydrostatic pressure formula to determine the force.