As illustrated in Video V7.9, models are commonly usedto study the dispersion of a
Chapter 7, Problem 7.76(choose chapter or problem)
As illustrated in Video V7.9, models are commonly usedto study the dispersion of a gaseous pollutant from an exhaust stacklocated near a building complex. Similarity requirements for thepollutant source involve the following independent variables: thestack gas speed, V, the wind speed, U, the density of the atmosphericair, , the difference in densities between the air and the stackgas, s, the acceleration of gravity, g, the kinematic viscosityof the stack gas, vs, and the stack diameter, D. (a) Based on thesevariables, determine a suitable set of similarity requirements formodeling the pollutant source. (b) For this type of model a typicallength scale might be 1:200. If the same fluids were used in modeland prototype, would the similarity requirements be satisfied?Explain and support your answer with the necessary calculations.
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