4.3.1. Velocity distribution for turbulent flow in rough pipes

Try these first

1. 1.

   What is turbulent flow?

   Hint

   Think about smooth versus chaotic motion in water flow.

2. 2.

   What does surface roughness affect?

   Hint

   Consider how a smooth glass pipe vs. a rough metal pipe would behave.

3. 3.

   What type of flow is characterized by chaotic motion?

   • Laminar
   • Turbulent
   • Steady

   Hint

   Think about how water flows rapidly in a river.

4. 4.

   True or False: Surface roughness does not impact the flow velocity in pipes.

   • True
   • False

   Hint

   Remember our discussion about smooth versus rough surfaces.

5. 5.

   A rough pipe of 12 cm diameter has a flow velocity measured at a point 5 cm from the wall that is 50% higher than at a point 2 cm from the wall. Calculate the average height of roughness k and discuss its implications.

   Hint

   Identify the ratios of velocities to set up your equations.

6. 6.

   Discuss how velocity field predictions from these models can impact real-world applications like water treatment facilities or HVAC systems.

   Hint

   Focus on industries where flow assessment is key to product performance.