Dimensional analysis shows that for wind alone, the nondimensional ventilation rate for a given building (Co) with a given wind direction is a function only of Reynolds number i.e. Where Co = e AU Q is the ventilation rate, m³/s A is the area of the openings, m² U is the reference wind speed, m/s The Reynolds number is denoted by Re and is based on U. = f(Re) i) Explain why it is impossible to satisfy exactly the requirements for flow similarity when testing a small scale model of a large building in a wind tunnel. ii) In practice it is possible to determine full-scale force coefficients from wind tunnel tests. Briefly explain the two reasons for this. iii) A 1/50 scale model of a building with open windows has been tested in a wind tunnel. The ventilation rate has been measured for a range of tunnel wind speeds at a fixed wind direction and the results are shown in the following Table Q1. Table Q1 Tunnel wind speed U m/s 1.0 2.0 3.0 4.0 5.0 6.0 0.000648 7.0 0.000756 8.0 0.000864 Show how the results in Table Q1 can be used to confirm that the wind tunnel model is suitable for determining Q for the full-scale building. Ventilation rate Q m³/s 0.000148 0.000264 0.000360 0.000448 0.000540 ш Иг Ureta. Upof 2 и QZAN #
Dimensional analysis shows that for wind alone, the nondimensional ventilation rate for a given building (Co) with a given wind direction is a function only of Reynolds number i.e. Where Co = e AU Q is the ventilation rate, m³/s A is the area of the openings, m² U is the reference wind speed, m/s The Reynolds number is denoted by Re and is based on U. = f(Re) i) Explain why it is impossible to satisfy exactly the requirements for flow similarity when testing a small scale model of a large building in a wind tunnel. ii) In practice it is possible to determine full-scale force coefficients from wind tunnel tests. Briefly explain the two reasons for this. iii) A 1/50 scale model of a building with open windows has been tested in a wind tunnel. The ventilation rate has been measured for a range of tunnel wind speeds at a fixed wind direction and the results are shown in the following Table Q1. Table Q1 Tunnel wind speed U m/s 1.0 2.0 3.0 4.0 5.0 6.0 0.000648 7.0 0.000756 8.0 0.000864 Show how the results in Table Q1 can be used to confirm that the wind tunnel model is suitable for determining Q for the full-scale building. Ventilation rate Q m³/s 0.000148 0.000264 0.000360 0.000448 0.000540 ш Иг Ureta. Upof 2 и QZAN #
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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