Homework $5$ MANE $2720$ Fluid Mechanics

Problem $22.(22$ Points$)$ Consider steady, incompressible, parallel, fully$-$developed laminar flow of a film of oil falling slowly down an infinite vertical wall. The oil film thickness is $h,$ and gravity acts in the negative z $-$direction, as shown. There is no applied $($forced$)$ pressure driving the flow $-$ the oil falls by gravity alone. Calculate the velocity and pressure fields in the oil film as a function of $.$ You may neglect changes in the hydrostatic pressure of the surrounding air and assume that the fluid is Newtonian.

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