Question 1. Consider the viscous flow between two parallel plates with the bottom plate fixed and the upper plate moving with a constant velocity U. The plates are separated by a distance h as shown in the figure below. Answer the following questions, supporting your answers with relevant theories Equations.
a. Is the flow incompressible?
b. Is the flow steady?
c. Is the flow irrotational?
d. Where does the maximum and minimum shear stress occur in the flow field?
e. What is the magnitude and direction of the shear force acting on the top plate if the contact area between the plate and the fluid is 2h by 2h ?
u=U((4y)/(h)-(3y^(2))/(h^(2))),v=0