3.6. Problem Solving for Parallel Plates

Try these first

1. 1.

   Define laminar flow.

   Hint

   Think about how the layers behave relative to each other.

2. 2.

   What is the role of shear stress in fluid dynamics?

   Hint

   Consider how forces influence layered motions.

3. 3.

   What characterizes laminar flow?

   • Smooth layers
   • Turbulent mixing
   • Eddy currents

   Hint

   Think about how the layers of fluid interact.

4. 4.

   True or False: The average velocity is always greater than the maximum velocity in laminar flow.

   • True
   • False

   Hint

   Recall the relationship of average and maximum velocities.

5. 5.

   Consider a fluid with a maximum velocity of 5 m/s. The distance between two plates is 0.2 m and the viscosity is 3.5 Pa·s. Calculate the average velocity and the pressure gradient.

   Hint

   Make sure to apply the correct velocity relationship first.

6. 6.

   A fluid flows between two parallel plates, causing a shear stress of 80 N/m² at the wall. If the thickness of the plates is 0.15 m, calculate the pressure gradient.

   Hint

   Identify the transition from shear stress to pressure gradient effectively.