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Handbook of air conditioning and refrigeration / Shan K

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18.4 CHAPTER EIGHTEEN<br />

cooling load intensity <strong>of</strong> 10 to 20 Btu/h� ft 2 (31.5 to 63 W/m 2 ) the Air Diffusion Performance Index<br />

considering the turbulence effect were about 10 percent less than those that did not take the impact<br />

<strong>of</strong> Tu into account. At higher cooling loads <strong>and</strong> <strong>air</strong>flow rates, the effect <strong>of</strong> Tu became larger.<br />

Actually, the drop in ADPI is less than 10 percent for cooling load intensity between 10 <strong>and</strong> 20<br />

Btu/h� ft 2 (31.5 <strong>and</strong> 63 W/m 2 ) due to the impact <strong>of</strong> Tu because the points <strong>of</strong> <strong>air</strong> velocity located on<br />

the centerline <strong>of</strong> the test room are only a small portion <strong>of</strong> the total number <strong>of</strong> measured points.<br />

In cooling mode operation, ADPI is an appropriate index to use to evaluate a space <strong>air</strong> diffusion<br />

system. For heating mode operation, the temperature gradient between two points in the occupied<br />

zone may be a better indicator <strong>of</strong> the thermal comfort <strong>of</strong> the occupants <strong>and</strong> the effectiveness <strong>of</strong> a<br />

space <strong>air</strong> diffusion system. Usually, the temperature gradient is less than 5°F (2.8°C) within an<br />

occupied zone.<br />

Space Diffusion Effectiveness Factor<br />

The effectiveness <strong>of</strong> a space <strong>air</strong> diffusion system can also be assessed by using a space diffusion effectiveness<br />

factor for <strong>air</strong> temperature � T or for <strong>air</strong> contamination � C. Both factors are dimensionless.<br />

Effectiveness factor � T compares temperature differentials <strong>and</strong> � C compares contamination differentials<br />

as follows:<br />

� T � T re � T s<br />

T r � T s<br />

� C � C ex � C s<br />

where T � temperature, °F (°C)<br />

C � concentration <strong>of</strong> <strong>air</strong> contamination, �g/m3 Cr � Cs (18.4)<br />

In Eq. (18.4), subscript re represents the recirculating <strong>air</strong>, ex the exhaust <strong>air</strong>, r the space <strong>air</strong> or <strong>air</strong> at<br />

the measuring point, <strong>and</strong> s the supply <strong>air</strong>. When � � 1, the space <strong>air</strong> diffusion is considered effective.<br />

If � � 1, a portion <strong>of</strong> supply <strong>air</strong> has failed to supply the occupied zone <strong>and</strong> exhaust through<br />

the return or exhaust inlets directly. Parameters in both the numerator <strong>and</strong> denominator must be in<br />

the same units.<br />

Ventilation Effectiveness <strong>and</strong> Air Exchange Effectiveness<br />

� T ex � T s<br />

T r � T s<br />

ASHRAE <strong>H<strong>and</strong>book</strong> 1997, Fundamentals, defines ventilation effectiveness as a description <strong>of</strong> an <strong>air</strong><br />

distribution system’s ability to remove internally generated contaminants from a zone, space, or<br />

building. Air change effectiveness � ex is defined as <strong>air</strong> system ability to deliver ventilation <strong>air</strong> to a<br />

zone, space, or building. The age <strong>of</strong> <strong>air</strong> � age, in minutes or hours, is the time period that outdoor<br />

ventilation <strong>air</strong> has been in a zone, space, or building, <strong>and</strong> age can be evaluated for an existing building<br />

using the trace gas method. Chamberlin et al. (1999) proposed the following when growth<br />

(step-up) <strong>and</strong> decay (step-down) tracer methods are used:<br />

� age � (� end � � initial)� 1 � C avg<br />

C end �<br />

� (� stop � � start)(C avg � C start)<br />

(18.5a)<br />

where C avg � time-averaged concentration <strong>of</strong> tracer gas measured in test zone from when tracer<br />

gas injections began to when last sample is taken, �g/m 3 or ppm<br />

C end, C start � concentration <strong>of</strong> tracer gas when last sample was taken at time � end <strong>and</strong> when first<br />

sample was taken at � start, �g/m 3 or ppm

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