Solve the below:
Q: An oil film drains steadily down the side of a vertical wall, as shown. After an initial development at the top of the wall, the film becomes independent of z and of constant thickness. Assume that w = w(x) only that the atmosphere offers no shear resistance to the film.
(a) Solve Navier-Stokes for w(x).
(b) Suppose that film thickness and [w/ x] at the wall are measured. Find an expression which relates µ to this slope [w x].