PROBLEM 2 Oil, of density p and viscosity 4, drains steadily down the side of a vertical plate,as seen in the illustration. After a development region near the top of

the plate,the oil film will become independent of z and of constant thickness 8. Assume that w = w(x) only and that the atmosphere offers no shear resistance to the surface of the film. The shearing stress at the free surface: \tau_{x z}=\mu\left(\frac{\partial u}{\partial z}+\frac{\partial w}{\partial x}\right) 2.1 Arrange Navier-Stokes equations according to the given flow problem and explain briefly the various terms. 2.2 (3 x weight)Solve the Navier-Stokes equation for w(x).

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