3. Laminar Flow Between Parallel Plates

Try these first

1. 1.

   Define laminar flow in one sentence.

   Hint

   Think about how fluids move without turbulence.

2. 2.

   What does shear stress represent in fluid dynamics?

   Hint

   Consider forces acting in layers.

3. 3.

   What characterizes laminar flow?

   • A. Turbulent
   • B. Smooth and orderly
   • C. Random

   Hint

   Think about the movement of layers in the fluid.

4. 4.

   In laminar flow, at which point is the velocity maximum?

   • A. At the walls
   • B. At the center
   • C. Randomly throughout

   Hint

   Visualize how fluids move between solid boundaries.

5. 5.

   Two parallel plates are 0.05 m apart, and the maximum velocity of oil flowing between them is 0.5 m/s. If the viscosity is 0.9 Pa.s, derive the pressure gradient in the flow.

   Hint

   Start with the relationship between average and maximum velocity.

6. 6.

   For a given fluid with shear stress at the wall of 100 Pa and a gap of 0.1 m, calculate the maximum velocity if viscosity is known to be 1.5 Pa.s.

   Hint

   Recall that tau = mu * du/dy and consider that you can express du/dy in terms of max velocity.