1.3. Velocity Profile for Fully Developed Laminar Flow

Try these first

1. 1.

   What is laminar flow?

   Hint

   Think of how water flows gently in a straight pipe.

2. 2.

   What is the relationship between maximum and average velocity in laminar flow?

   Hint

   Recall the derived equation discussed in class.

3. 3.

   What is the maximum velocity in laminar flow compared to average velocity?

   • u_max = 2 * V_avg
   • u_max = 1.5 * V_avg
   • u_max = V_avg

   Hint

   Recall the derived equations from our lessons.

4. 4.

   True or False: The velocity profile in laminar flow remains constant over time.

   • True
   • False

   Hint

   Think of how laminar flow is characterized.

5. 5.

   If the pressure drop is given as -1500 N/m² over a section 3 m long with viscosity 0.01 poise, calculate the maximum velocity.

   Hint

   Remember to first express dp/dx with the given length.

6. 6.

   Given varying viscosities and thicknesses, how would you set up a flow experiment to derive the velocity profile?

   Hint

   Focus on maintaining laminar conditions by controlling velocity and viscosity.