(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

it is likely that the cross-sectional design of a new bridge will give arise to a vortex shedding from its downwind side. Such behaviour can creat harmful periodic forses on the bridge structure, the bridge designers is keen to determine the frequency of shedding. He expects the shedding frequency [tex]\omega[/tex], to depend on depth of the deck D, the length of the bridge in the direction of the flow L , the wind velocity V and the fluid density [tex]\rho[/tex] and the viscosity[tex]\mu[/tex]. Express this relationship in dimensionless form isolating[tex]\omega[/tex] ,L and [tex]\mu[/tex] in separate groups

2. Relevant equations

buckingham pi theorem; k-r=how many pi groups

3. The attempt at a solution

3 pi groups

variable;

[tex]\omega[/tex]

D

V

[tex]\rho[/tex]

[tex]\mu[/tex]

L

firstly are the units of frequency for this T^-1 and what units do i choose for L the direction of flow?

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# Homework Help: Dimensional analysis

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