25.6.2. Kinetic Energy Corrections

Try these first

1. 1.

   What defines the hydraulic gradient line in open channel flows?

   Hint

   Think about the relationship between pressure and water surface in open channels.

2. 2.

   How do mechanical energy losses affect the energy and hydraulic gradient lines?

   Hint

   Consider how friction impacts fluid motion and energy.

3. 3.

   What characterizes hydraulic gradient lines in open channel flow?

   • They are always below the free surface.
   • They coincide with the free surface.
   • They are independent of pressure.

   Hint

   Recall the definition of hydraulic gradient line!

4. 4.

   True or False: Mechanical energy losses in fluid systems cause the energy gradient line to slope upwards.

   • True
   • False

   Hint

   Think about where energy goes in a system.

5. 5.

   A water pipe sudden enlarges from 4 cm to 8 cm in diameter, experiencing a pressure change of 1 atm. How would you calculate the flow rate at each section? Consider applying the Bernoulli equation.

   Hint

   Remember that when the diameter increases, the velocity must decrease under conservation laws!

6. 6.

   Calculate the kinetic energy correction factor for a channel flow that has a parabolic velocity profile. Assume the velocity at the center is twice that of the average velocity.

   Hint

   Visualize the flow profile and how average velocity differs from local velocities.