A thin layer of an incompressible fluid flows steadily overa horizontal smooth plate as

Chapter 7, Problem 7.55

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A thin layer of an incompressible fluid flows steadily overa horizontal smooth plate as shown in Fig. P7.55. The fluidsurface is open to the atmosphere, and an obstruction having asquare cross section is placed on the plate as shown. A modelwith a length scale of 14 and a fluid density scale of 1.0 is to bedesigned to predict the depth of fluid, y, along the plate. Assumethat inertial, gravitational, surface tension, and viscous effectsare all important. What are the required viscosity and surfacetension scales?

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