Unformatted text preview: through 10 miles of piping? [30 points] 3.0 A series of experiments suggest that the electrical power P required to drive a ceiling fan principally depends upon the impeller diameter ( D ), the impeller rotational speed ( ω ), the air density ( ρ ), and the volumetric flow rate of air moved, Q . (a) Explain why the viscosity of the air μ is not important in this case. (b) What is the minimum number of fundamental dimensions required to define these variables? (c) How many dimensionless groups are required to determine the relationship between P and the other variables? (d) Find these groups by dimensional analysis, and arrange your results so that the power and volume flow rate appear in only one group. (e) How might one use your result to design a much larger scale fan for use in a football stadium? [35 points] 4.0 Denn 3.7 [20 points] 5.0 Denn 3.9 [25 points]...
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 Spring '10
 L.ARCHER
 Fluid Dynamics, football stadium, large open container

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