As winds blow past buildings, complex flow patterns candevelop due to various factors

Chapter 7, Problem 7.77

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As winds blow past buildings, complex flow patterns candevelop due to various factors such as flow separation and interactionsbetween adjacent buildings. (See Video V7.13.) Assume thatthe local gage pressure, p, at a particular location on a building is afunction of the air density, , the wind speed, V, some characteristiclength, , and all other pertinent lengths, i, needed to characterizethe geometry of the building or building complex. (a) Determine asuitable set of dimensionless parameters that can be used to studythe pressure distribution. (b) An eight-story building that is 100 fttall is to be modeled in a wind tunnel. If a length scale of 1:300 isto be used, how tall should the model building be? (c) How willa measured pressure in the model be related to the correspondingprototype pressure? Assume the same air density in model andprototype. Based on the assumed variables, does the model windspeed have to be equal to the prototype wind speed? Explain.