3. Assumptions of Bernoulli's equation

Try these first

1. 1.

   What does it mean for flow to be frictionless?

   Hint

   Think about how friction affects motion in general.

2. 2.

   Name one assumption of Bernoulli's equation.

   Hint

   Consider if the flow conditions change with time.

3. 3.

   Which of the following is NOT an assumption of Bernoulli’s equation?

   • Frictionless Flow
   • Steady Flow
   • Compressible Flow
   • Constant Density

   Hint

   Think about the behavior of gases under pressure.

4. 4.

   True or False: Bernoulli's equation can be applied to compare two points across different streamlines.

   • True
   • False

   Hint

   Reflect on what happens when crossing streamlines.

5. 5.

   A fluid passes through a pipe that narrows down. Using Bernoulli’s principles, derive the relationship between the velocity at the wider section and the narrower section, given that fluid density is constant.

   Hint

   Think about how the fluid volume must remain constant.

6. 6.

   Describe a situation where Bernoulli's equation might fail, detailing specific assumptions that would not hold true.

   Hint

   Focus on real-world applications, like high-speed aviation.