(Solved): Consider a film of oil falling slowly down an infinite vertical wall by gravity. The oil film thick ...

Consider a film of oil falling slowly down an infinite vertical wall by gravity. The oil film thickness is h, and gravity acts in the negative z- direction. 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 and sketch the normalized velocity profile. State and explain any necessary assumptions, substitute in general conservation laws and explain any zero terms before cancelling it.