Calculate the actual velocity profile, Macroeconomics

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You are developing a sampling protocol whereby you're going to insert a probe into a turbulent flow in a circular conduit of radius R.

a. Using a description of a velocity profile typical of turbulent flow in a circular conduit, solve for that position r/R where the actual flow profile velocity has the same magnitude as that of an average velocity that would produce the same discharge.

b. Sketch the scenario - the average velocity profile, the actual velocity profile, and the point where v(r)=Vaverage.

 

 


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