1.7. Velocity and pressure distribution

Try these first

1. 1.

   Define laminar flow.

   Hint

   Think about smooth vs. chaotic movement.

2. 2.

   What is the significance of Reynolds number in fluid mechanics?

   Hint

   It's a dimensionless ratio that compares inertial and viscous forces.

3. 3.

   What characterizes laminar flow?

   • Chaotic fluid movement
   • Smooth and orderly flow
   • Mixed flow

   Hint

   Consider how the layers of fluid interact.

4. 4.

   True or False: Turbulent flow can be described as having a stable and consistent velocity profile.

   • True
   • False

   Hint

   Think about whether the flow remains steady or changes.

5. 5.

   A fluid with a viscosity of 0.002 Pa·s and a density of 850 kg/m³ flows through a circular pipe of diameter 0.1 m at a velocity of 3 m/s. Is the flow laminar, turbulent, or transitional? Calculate the Reynolds number.

   Hint

   Remember to use the Reynolds number equation.

6. 6.

   A water flow at 15°C has a viscosity of 0.00114 Pa·s. Calculate the minimum diameter of a pipe (in meters) that will ensure laminar flow at a velocity of 1 m/s with a maximum Reynolds number of 2100.

   Hint

   Use properties of water and remember the limits for laminar flow.