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Handbook of air conditioning and refrigeration / Shan K

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where � v � st<strong>and</strong>ard deviation <strong>of</strong> <strong>air</strong> velocity fluctuations, fpm (m/s)<br />

v m � mean <strong>air</strong> velocity, fpm (m/s)<br />

Experiments showed that if the space temperature Tx � 73.4°F (23°C) <strong>and</strong> vm � 30 fpm (0.15<br />

m/s), the percentage <strong>of</strong> dissatisfied occupants may increase from about 10 to 15 percent when Itur increases from 0.1 to 0.5. A parameter called the effective draft temperature �, in °F (°C), which<br />

combines the effects <strong>of</strong> uneven space <strong>air</strong> temperature <strong>and</strong> <strong>air</strong> movement, is <strong>of</strong>ten used to assess the<br />

deviations <strong>of</strong> local magnitudes from the mean value, <strong>and</strong> it is defined as<br />

(18.2)<br />

where T x, v x � space <strong>air</strong> temperature <strong>and</strong> velocity at specific location, °F (°C) <strong>and</strong> fpm (m/s)<br />

T r � mean space <strong>air</strong> temperature or set point, °F (°C)<br />

In Eq. (18.2), a is a conversion constant to combine the effects <strong>of</strong> space <strong>air</strong> temperature <strong>and</strong> <strong>air</strong><br />

movements; its value is 0.07 when T is expressed in °F <strong>and</strong> v is expressed in fpm, <strong>and</strong> 8 when T is<br />

expressed in °C <strong>and</strong> v in m/s.<br />

The desirable mean space <strong>air</strong> velocity v rm, in fpm (m/s), is closely related to the space <strong>air</strong><br />

temperature T r to be maintained, the metabolic rate, <strong>and</strong> the clothing insulation <strong>of</strong> the occupant.<br />

According to Fig. 4.8, for a space relative humidity � � 50 percent, T rad � T r, a metabolic rate <strong>of</strong><br />

400 Btu/h (117.2 W), <strong>and</strong> a clothing insulation <strong>of</strong> 0.6 clo (0.093 m 2 � °C/W), their relationship may<br />

be given as follows:<br />

Air Diffusion Performance Index<br />

� � T x � T r � a(v x � v rm)<br />

T r, °F 70 72 74 76 78 80<br />

v rm, fpm 16 20 25 32 40 55<br />

AIR SYSTEMS: SPACE AIR DIFFUSION 18.3<br />

To an extent, the magnitude <strong>of</strong> effective draft temperature � also reflects the degree <strong>of</strong> thermal comfort<br />

that can be provided by comfort <strong>air</strong> <strong>conditioning</strong> systems. During cooling mode in commercial<br />

<strong>and</strong> public buildings, if the space temperature is maintained between 75 <strong>and</strong> 78°F (23.9 <strong>and</strong><br />

25.6°C), T rad � T r, space <strong>air</strong> velocity v r � 55 fpm (0.28 m/s), <strong>and</strong> the space relative humidity is between<br />

30 <strong>and</strong> 70 percent, then most sedentary occupants feel comfortable when � 3°F � � �<br />

� 2°F (� 1.7°C � � ��1.1°C). The <strong>air</strong> diffusion performance index (ADPI), in percent, which<br />

evaluates the performance <strong>of</strong> space <strong>air</strong> diffusion, is calculated as<br />

ADPI �<br />

where N� � number <strong>of</strong> points measured in occupied zone in which � 3°F � � ��2°F<br />

(� 1.7°C � � ��1.1°C)<br />

N � total number <strong>of</strong> points measured in occupied zone<br />

N� � 100<br />

N<br />

(18.3)<br />

The higher the ADPI, the higher the percentage <strong>of</strong> occupants who feel comfortable. Maximum<br />

ADPI approaches 100 percent.<br />

Because <strong>air</strong> velocity fluctuations create drafts, therefore, they also affect ADPI. Abu-Ei-Hassan<br />

et al. (1996), based on the impact <strong>of</strong> turbulence intensity Tu recommended by Fanger et al. (1988),<br />

conducted tests to determine the effect <strong>of</strong> turbulence intensity Tu (velocity fluctuations) on the<br />

ADPI. Abu-Ei-Hassan et al. took the centerline velocity <strong>of</strong> the test room, which has nearly the same<br />

flow characteristic as the centerline velocity <strong>of</strong> the <strong>air</strong> jet, as the <strong>air</strong> velocities <strong>of</strong> the local points,<br />

<strong>and</strong> the ADPIs thus calculated as Air Diffusion Performance Index that take into consideration the<br />

Tu impact. The results showed that for a sidewall outlet space <strong>air</strong> diffusion system with a room

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