2.1. Derivation along a streamline

Try these first

1. 1.

   What is the formula for Bernoulli's equation?

   Hint

   Remember what each term represents: pressure head, elevation head, and velocity head.

2. 2.

   What assumption is made regarding fluid density in Bernoulli's equation?

   Hint

   Think about the flow type we discussed.

3. 3.

   What does Bernoulli's equation relate?

   • Pressure
   • elevation
   • and velocity
   • Only pressure
   • Only velocity

   Hint

   Think about the different energies involved in a fluid.

4. 4.

   In which fluid flow assumption is Bernoulli's equation valid?

   • True
   • False

   Hint

   Reflect on the assumptions we discussed in class.

5. 5.

   Given a pipe with varying diameters, derive Bernoulli's equation and calculate velocity changes as fluid moves through.

   Hint

   Think about how areas affect velocities in relation to fluid continuity.

6. 6.

   In a real-world application, explain how a Pitot tube measures flow velocity and its relation to Bernoulli's equation.

   Hint

   Consider the relationship of pressures in the equation and how they relate to flow.