A block slides down a long, straight, inclined wall at speed V, riding on a thin film of
Chapter 9, Problem 9-123(choose chapter or problem)
A block slides down a long, straight, inclined wall at speed V, riding on a thin film of oil of thickness h (Fig. P9123). The weight of the block is W, and its surface area in contact with the oil film is A. Suppose V is measured, and W, A, angle a, and viscosity m are also known. Oil film thickness h is not known. (a) Generate an exact analytical expression for h as a function of the known parameters V, A, W, a, and m. (b) Use dimensional analysis to generate a dimensionless expression for h as a function of the given parameters. Construct a relationship between your Ps that matches the exact analytical expression of part (a).
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