Use dimensional analysis to show that in a problem involving shallow water waves (Fig. P7–87), both the Froude number and the Reynolds number are relevant dimensionless parameters. The wave speed c of waves on the surface of a liquid is a function of depth h, gravitational acceleration g, fluid density ρ, and fluid viscosity μ. Manipulate your ∏’s to get the parameters into the following form:

FIGURE P7–87

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Fr= с с Vgh = f(Re) where Re = pch μ