3.7. Bernoulli's equation

Try these first

1. 1.

   What does Bernoulli's Equation describe?

   Hint

   Think about conservation of energy in a fluid.

2. 2.

   Name two conditions required for Bernoulli's Equation to apply.

   Hint

   Consider the characteristics of ideal flow.

3. 3.

   What principle is Bernoulli's equation based on?

   • Conservation of mass
   • Conservation of energy
   • Conservation of momentum

   Hint

   Consider how energy is maintained in a closed system.

4. 4.

   True or False: Bernoulli's equation can be applied to fluid flow that is viscous.

   • True
   • False

   Hint

   Think about the characteristics of the fluid considered in the equation.

5. 5.

   A fluid flows through a pipe with varying diameters. Point 1 has a diameter of 4 cm, pressure 300 kPa, and velocity 2 m/s, while point 2 has a diameter of 2 cm. What is the pressure at point 2 if the fluid is incompressible?

   Hint

   Start with finding the flow area and use it to determine fluid speed.

6. 6.

   Discuss the limitations of applying Bernoulli's equation to hydraulic systems. Provide real-world examples where it might fail.

   Hint

   Think about high-speed flows and how they may challenge the Bernoulli application.