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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbaa043b7-f109-40cb-90cc-c5d416c14593%2F238ff4fd-c23e-4a47-909c-a4e21e06ef93%2Fxgcu60w.jpeg&w=3840&q=75)
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