4.1. Mechanical energy conservation

Try these first

1. 1.

   What does Bernoulli's equation relate?

   Hint

   Think about the different forms of energy in the fluid.

2. 2.

   What is required for the flow to apply Bernoulli's equation?

   Hint

   Consider the assumptions discussed in the section.

3. 3.

   Bernoulli’s equation applies under which conditions?

   • Frictionless flow
   • Steady flow
   • Incompressible flow
   • All of the above

   Hint

   Recall the assumptions discussed in the section.

4. 4.

   True or False: The Hydraulic Grade Line includes kinetic energy.

   • True
   • False

   Hint

   Think about what forms of energy make up the HGL.

5. 5.

   A fluid flows through a horizontal pipe with varying diameters. Given the pressures at two points and their respective diameters, calculate the velocity at both points.

   Hint

   Remember to equate pressure change to kinetic energy change.

6. 6.

   Design a water jet system that achieves a speed of 15 m/s. Given atmospheric pressure and the height from which the water descends, calculate required changes in pipe diameter.

   Hint

   Check how hight affects velocity through the energy conservation principles.