23.4.2. Applying Continuity and Bernoulli's Equation

Try these first

1. 1.

   What does Bernoulli's equation relate to?

   Hint

   Think about the fundamental principles of energy in fluids.

2. 2.

   Define a streamline.

   Hint

   Relate it to visualizing fluid paths.

3. 3.

   Bernoulli's equation applies primarily to which condition?

   • Unsteady flow
   • Steady
   • incompressible flow
   • Compressible flow

   Hint

   Think about the conditions under which it can be applied.

4. 4.

   True or False: The discharge coefficient is always equal to 1.

   • True
   • False

   Hint

   Consider how discharge differs in practical scenarios.

5. 5.

   A fluid flows through a horizontal pipe that narrows at one point. If the pressure at the wide section is 300 kPa and at the narrow section is 250 kPa, determine the velocity at the narrow section if the diameter decreases by half.

   Hint

   Ensure you relate the areas and velocities correctly.

6. 6.

   In a water tank, the height of water is 10 meters and is discharged through a small nozzle. If the discharge coefficient is 0.8, calculate the theoretical velocity of the water exiting the nozzle.

   Hint

   Make sure to substitute 'g' as 9.81 m/s².