Use dimentional analysis to evaluate that in a problem involving shallow water waves (figure 6), both the Froude number and the Reynold's 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, p and fluid viscosity μ. Manipulate your II's to get the parameters into the following form:   Fr = c/(gh)1/2= f(Re) , where Re  = pch/μ

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Chapter5: Analysis Of Convection Heat Transfer
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Use dimentional analysis to evaluate that in a problem involving shallow water waves (figure 6), both the Froude number and the Reynold's 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, p and fluid viscosity μ. Manipulate your II's to get the parameters into the following form:

 

Fr = c/(gh)1/2= f(Re) , where Re  = pch/μ

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