FLUID MECHANICS: Can you please go through the problem, I am especially confused on parts c, d, and e. Thank you a ton!!!!!!!
1. Electroosmotic flow in a microchannel with pressure drop is considered as an incompressible liquid flow between two large parallel plates, separated by a distance 2h, both moving at a constant velocity Uo in the negative x-direction as shown in the figure. The inlet and outlet pressures are: P(x=0)=Pi and P(x=L)=P2 such that AP=Pi-Pz>0. [35%]
L
U
y;v
2h
U
Pi
P.
(a) Write down the boundary conditions for u and v at the top and bottom moving surfaces b) Write down the differential equations for the conservation of mass and x-momentum assuming steady, 2-D, and fully-developed flow. (c) Derive an expression to determine the velocity profile u=u(y; AP, L, h, , Uo). (d) Calculate the pressure drop, APo, required for the condition: u(y=0)=+Uo, and find all the y-location(s) at which u(y)=0. (e) For the same pressure drop, APo, calculate the shear stress profile txy().