23.2.2. Assumption of Incompressible Flow

Try these first

1. 1.

   What is meant by incompressible flow?

   Hint

   Think about the flow of water under normal conditions.

2. 2.

   State one limitation of Bernoulli's equation.

   Hint

   Recall what conditions create steady flow.

3. 3.

   Bernoulli's equation can be applied under which of the following conditions?

   • Unsteady Flow
   • Steady Flow
   • Near Solid Boundaries

   Hint

   Recall the conditions for the Bernoulli equation.

4. 4.

   True or False: The assumption of incompressible flow means that the density of the fluid can change significantly.

   • True
   • False

   Hint

   Think about the definition of incompressible flow.

5. 5.

   A fluid is flowing through a pipe with varying diameter. If the fluid is treated as incompressible, derive the relationship between velocities using Bernoulli's equation and explain any limitations.

   Hint

   Think about applying conservation laws and how velocity relates to cross-sectional area.

6. 6.

   In a hydraulic system, how can Bernoulli’s equation be modified to account for energy losses due to friction? Illustrate your answer with a diagram.

   Hint

   Consider the elements of potential, kinetic, and loss factors in your diagram.