F a =f(Re) where Re pch V gh

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Use dimensional analysis to show that in a problem involving shallow water waves, 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 ? , and fluid viscosity ? . Manipulate your Π’s to get the parameters into the following form

F a
=f(Re) where Re
pch
V gh
Transcribed Image Text:F a =f(Re) where Re pch V gh
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