4. Fluid Flow Through Parallel Plates

Try these first

1. 1.

   What happens to the velocity of fluid between two parallel plates?

   Hint

   Consider the no-slip condition.

2. 2.

   Define shear stress in fluid mechanics.

   Hint

   Think about forces acting on fluid layers.

3. 3.

   What is the primary characteristic of a Newtonian fluid?

   • Its viscosity changes with shear rate
   • Its viscosity is constant regardless of shear rate
   • It has high viscosity

   Hint

   Think about fluids that pour and behave consistently.

4. 4.

   True or False: The viscosity of a fluid decreases with increasing temperature.

   • True
   • False

   Hint

   Consider what happens to syrup when heated.

5. 5.

   Calculate the shear stress in a fluid between plates with a dynamic viscosity of 0.05 Pa.s and a velocity gradient of 200 s⁻¹.

   Hint

   Use the relation τ = μ * (du/dy) to solve.

6. 6.

   A liquid behaves like a Bingham plastic. If the yield stress is 5 Pa and the applied stress is 15 Pa, calculate the flow rate given its viscosity is 0.1 Pa.s.

   Hint

   Don't forget to subtract the yield stress from applied stress before dividing.