Find an expression which relates µ to slope


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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].

2193_oil film.jpg

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Mechanical Engineering: Find an expression which relates µ to slope
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