7. Relaxed assumptions of Bernoulli's equation

Try these first

1. 1.

   What are the four primary assumptions of Bernoulli's equation?

   Hint

   Think about the conditions needed for fluid flow regardless of friction.

2. 2.

   What happens to Bernoulli's equation if you cross streamlines?

   Hint

   Consider why the flow energy might differ along different lines.

3. 3.

   What is Bernoulli's equation concerned with?

   • Conservation of energy
   • Density variations
   • Heat transfer

   Hint

   Think about what the equation fundamentally represents.

4. 4.

   True or False: Bernoulli's equation can be applied across multiple streamlines.

   • True
   • False

   Hint

   Consider the implications of applying energy calculations across different paths.

5. 5.

   You have a fluid flowing through a pipe that gradually narrows. Describe how you would apply Bernoulli's equation to analyze the pressure difference at two points, including the impact of friction.

   Hint

   Consider how conservation of energy applies differently when the flow area changes.

6. 6.

   A water jet is exiting a pipe at a height of 5m above the ground. Using Bernoulli's equation, estimate its velocity assuming atmospheric pressure at exit. Consider the potential energy conversion.

   Hint

   Think about how potential energy converts into kinetic energy as the jet exits.