9.1 A model of a river towboat is to be tested at 1:18 scale. The boat is

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9.1 A model of a river towboat is to be tested at 1:18 scale. The boat is designed to travel at 3.5 m/s in fresh water at 10 C. Estimate the distance from the bow where transition from a laminar to a turbulent boundary layer occurs. Determine the speed for the model boat so that transition occurs at the same relative position.

9.2 For a flow at 9.0 m/s over a smooth flat plate, estimate the maximum length of the laminar boundary layer for air and for water as the fluid.

9.3 The velocity profile for a turbulent boundary layer can be approximated by the power law expression

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Evaluate the displacement thickness

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and momentum thickness

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for the profile. Determine the boundary conditions that are satisfied and not satisfied by this expression.

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Fox And McDonald S Introduction To Fluid Mechanics

ISBN: 9781119721024

10th Edition

Authors: Robert W. Fox, Alan T. McDonald, John W. Mitchell

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