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 #

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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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
#
Transcribed Image Text: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 #
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