Dimensional analysis of the Froude Number

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SUMMARY

The discussion focuses on the dimensional analysis of the Froude Number, specifically clarifying that D represents hydraulic depth rather than density. Participants confirm that hydraulic depth has distinct units, emphasizing the importance of accurate unit representation in calculations. Additionally, the presence of a square root in the equation is questioned, indicating a need for further examination of the formula's structure.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with the Froude Number and its applications
  • Knowledge of dimensional analysis techniques
  • Basic mathematical skills for manipulating equations
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  • Research the derivation and applications of the Froude Number
  • Explore dimensional analysis methods in fluid mechanics
  • Study the significance of hydraulic depth in fluid dynamics
  • Examine the role of square roots in physical equations
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Engineers, physicists, and students studying fluid mechanics or hydraulic engineering will benefit from this discussion, particularly those interested in the Froude Number and dimensional analysis techniques.

Timburton91
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Homework Statement
Dimensional analyse the Froude Number (fr) = Velocity (u)/Accerlation due to gravity (g) * Hydraulic depth (D)
Relevant Equations
fr=u/g*D
So, I have calculated that to dimmensional analyse this equation;
Screenshot_20201011-174312.png
 
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D is hydraulic depth, not density. I think it has different units?

Also, isn't there a square root in this equation?
 

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