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You might want to define what you mean by "efficient" better - but assuming you want to accelerate the air flow, then the most important parameter is the ratio of input to output diameter. Next, you want to minimize the length of the nozzle (since a longer nozzle implies more drag) and in particular the length of the nozzle where your cross section is narrow ...

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This is a more complicated question than you think. Superficially, if you have a volumetric flow rate of $V$ through a pipe with constant area $A$, then the average velocity of the fluid is given by $$v = \frac{V}{A}$$ If you use cubic feet per second and feet squared, the result will be in feet per second. HOWEVER The actual velocity of a fluid in a ...

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Any suggestions? Summarizing the answers in the comments: Divide the volumetric flow rate (in cm^3/s) by the cross-sectional area of the pipe (in cm^2) to get the velocity in cm/s.

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At Reynolds numbers much smaller than one, you are in the Stokes flow or creeping flow regime. There are several questions you need to ask yourself in order to understand this problem: You tagged this question turbulence -- at what Reynolds numbers do you expect the flow to be turbulent? What determines the shape of the velocity profile (ie. what terms ...

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