8. Bernoulli's equation normal to streamlines

Try these first

1. 1.

   What does Bernoulli's equation relate?

   Hint

   Think about the factors impacting fluid motion.

2. 2.

   Define 'streamline' in fluid mechanics.

   Hint

   Remember that it represents flow direction.

3. 3.

   What does Bernoulli's equation state?

   • A. Energy is conserved in fluid flow.
   • B. Pressure does not change.
   • C. Velocity is constant.

   Hint

   Consider energy transformations in your answer.

4. 4.

   True or False: Bernoulli's principle applies when crossing streamlines.

   • True
   • False

   Hint

   Reflect on streamline definitions.

5. 5.

   A fluid flows through a Venturi meter with diameters 10 cm and 5 cm at two points. The pressure at the larger diameter is 100 kPa. Calculate the flow rate if the fluid's density is 1000 kg/m³.

   Hint

   Use the relationship of areas and apply continuity along with Bernoulli's principles.

6. 6.

   Consider a fluid flowing through a horizontal pipe with a constriction. If the pressure before the constriction is 200 kPa, and the area decreases to half, determine the new pressure after the constriction assuming incompressible flow.

   Hint

   What happens to velocity and pressure as the area decreases?