3- 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 p, and fluid viscosity μ. Manipulate your 's to get the parameters into the following form: Fr= h=SQ √gh =f(Re) where Re- pch μl Too P₂ μ

3- 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 p, and fluid viscosity μ. Manipulate your 's to get the parameters into the following form: Fr= h=SQ √gh =f(Re) where Re- pch μl Too P₂ μ

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

3- 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 p, and fluid viscosity μ. Manipulate your's to get the parameters into the following
form:
Fr=
√=f(Re) where Re=pch
μ
h
Too
8
P₂ μ

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Step 1: To show that both the Froude number and the Reynolds number are relevant dimensionless parameters.

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Step 2: Derive the relation for Froude number.

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Step 3: Derive the relation for Reynold'snumber.

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