24.6. Applications of Bernoulli's Equation

Try these first

1. 1.

   What does Bernoulli's Equation relate?

   Hint

   Think of the three components involved in the flow of fluids.

2. 2.

   Define static pressure.

   Hint

   Consider the condition of the fluid when it's not moving.

3. 3.

   What does Bernoulli's Equation mathematically connect?

   • Pressure and velocity
   • Pressure and elevation
   • All of the above

   Hint

   Consider all the relationships defined in the equation.

4. 4.

   True or False: The coefficient of discharge is always equal to one.

   • True
   • False

   Hint

   Reflect on the assumptions made in real-world applications versus theoretical models.

5. 5.

   A fluid flows through a pipe with diverse diameters. If the pressure at point A is 300 kPa and point B (narrower section) is 200 kPa, what is the velocity at point B, considering a kinetic energy correction factor of 1.05?

   Hint

   Think about how pressure drops as fluid speeds up in the narrower section.

6. 6.

   Calculate the discharge through a venturi meter with a diameter of 0.2 m at the inlet and 0.1 m at the outlet, given that the pressure drop is 50 kPa. Consider an average fluid density of 1000 kg/m³ and apply the coefficient of discharge.

   Hint

   Remember to apply A1V1 = A2V2 to connect flow areas and velocities.