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Handbook of air conditioning and refrigeration / Shan K

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AIR SYSTEMS: COMPONENTS—FANS, COILS, FILTERS, AND HUMIDIFIERS 15.43<br />

FIGURE 15.30 Maximum fin resistance number � fmax <strong>of</strong> rectangular<br />

fins. (Source: ASHRAE <strong>H<strong>and</strong>book</strong> 1989, Fundamentals. Reprinted with<br />

permission.)<br />

The heat capacity <strong>of</strong> the cold fluid (chilled water) C w, in Btu/h�°F (W/°C), is<br />

C w � 60m˙ w c pw � 500V˙ galc pw<br />

(15.37)<br />

In Eq. (15.35), Cmin is the smaller value <strong>of</strong> Ca <strong>and</strong> Cw, in Btu/h�°F (W/°C).<br />

In a sensible cooling coil using chilled water as coolant, m˙ acpa is usually smaller than m˙ wcpw. Then<br />

(15.38)<br />

In Eq. (15.38), T al is usually the required <strong>of</strong>f-coil (leaving coil) temperature during the design <strong>of</strong> a<br />

sensible cooling system. Most finned coils are actually a combination <strong>of</strong> counterflow <strong>and</strong> crossflow<br />

arrangements. Because the effectiveness <strong>of</strong> a finned coil with a counterflow arrangement is nearly<br />

the same as that <strong>of</strong> a crossflow arrangement, the effectiveness can be calculated as<br />

� dry �<br />

1 � exp[-NTU(1 � C)]<br />

1 � C exp[-NTU(1 � C)]<br />

where C � C min/C max<br />

C max � greater value <strong>of</strong> C a <strong>and</strong> C w,Btu/h�°F (W/°C)<br />

(15.39)<br />

The number <strong>of</strong> transfer units (NTU), dimensionless, actually indicates the size <strong>of</strong> the coil <strong>and</strong> can<br />

be calculated as<br />

NTU � UA<br />

C min<br />

� dry � T ae � T al<br />

T ae � T we<br />

� U oA o<br />

C a<br />

� U iA i<br />

C a<br />

(15.40)

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