A vertical wall is covered with an adhesive Newtonian fluid (viscosity is constant). The fluid flows down the wall under the force of gravity, with a flow such that the thickness of the film is constant. You can assume that the pressure everywhere in the liquid film is equal to atmospheric pressure. Starting with the full Navier-Stokes equations in Cartesian coordinates, derive an expression for the velocity profile F(y), where V is the downward velocity and y is the perpendicular distance away from the wall.
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