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Handbook of air conditioning and refrigeration / Shan K

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15.44 CHAPTER FIFTEEN<br />

Heating Coils<br />

After calculation <strong>of</strong> ε <strong>of</strong> the sensible cooling coil from Eq. (15.39), the sensible cooling coil load<br />

can be found as<br />

(15.41)<br />

From the energy balances between the moist <strong>air</strong> <strong>and</strong> chilled water, the temperature <strong>of</strong> conditioned<br />

<strong>air</strong> <strong>and</strong> chilled water leaving the coil T al <strong>and</strong> T wl, in °F (°C), can be calculated as<br />

Tal � Tae � ε(Tae � Twe) Twl � Twe � C(Tae � Tal) (15.42)<br />

In heating coils, only sensible heat change occurs during the heating process. The humidity ratio w<br />

remains constant unless humidifiers are installed before or after the heating coil. For steam heating<br />

coils, the steam temperature T steam �� T ae. At the same time, T steam remains constant during the<br />

heating process. Therefore, C max equals infinity, <strong>and</strong> C min/C max � 0.<br />

The system performance <strong>of</strong> both water heating <strong>and</strong> steam heating coils can also be determined from<br />

Eqs. (15.36) through (15.42), in which the hot fluids are hot water or steam, <strong>and</strong> moist <strong>air</strong> is cold fluid.<br />

Fluid Velocity <strong>and</strong> Pressure Drop<br />

Air velocity calculated based on the face area <strong>of</strong> a finned-tube coil va is a primary factor that determines<br />

the effectiveness <strong>of</strong> heat transfer, carryover <strong>of</strong> droplets <strong>of</strong> condensate in wet coils, <strong>air</strong>-side<br />

pressure drop, <strong>and</strong> energy consumption <strong>of</strong> the system. For dry coils, there is no danger <strong>of</strong> carryover.<br />

Their maximum face velocity is usually limited to a less than 800 fpm (4 m/s). The maximum <strong>air</strong><br />

velocity calculated based on the minimum free flow area may be as high as 1400 fpm (7 m/s). For<br />

coils used in terminal units such as floor-mounted fan coil units, the face velocity is usually around<br />

200 fpm (1 m/s) so that the pressure drop across the coil is low.<br />

In addition to the face velocity va, the <strong>air</strong>-side pressure drop �pa depends also on fin-<strong>and</strong>-tube<br />

configuration. For dry coils with a fin spacing <strong>of</strong> 12 fins/in. (2.1-mm fins), <strong>and</strong> at a face velocity<br />

va � 600 fpm (3 m/s), �pa may vary from 0.1 to 0.2 in. WC (25 to 50 Pa) per row depth.<br />

Selection <strong>of</strong> water velocity <strong>and</strong> , in gpm (L/s), for a finned-tube coil <strong>of</strong> a given tube inner diameter<br />

<strong>and</strong> number <strong>of</strong> water circuits is closely related to the temperature rise or drop. For a finnedtube<br />

coil with a face area <strong>of</strong> 1 ft2 (m2 V˙ gal<br />

), a full serpentine four-row coil may need 4.8 gpm (0.303 L/s)<br />

1<br />

<strong>of</strong> chilled water at a water temperature rise around 10°F (5.6°C), whereas a 2 serpentine coil needs<br />

only 2.4 gpm (0.151 L/s) <strong>and</strong> has a temperature rise <strong>of</strong> 20°F (11.1°C). Heat transfer, pressure drop,<br />

erosion, noise, energy, maintenance space, <strong>and</strong> initial cost should be considered during the selection<br />

<strong>of</strong> the temperature rise or drop <strong>and</strong> its corresponding water volume flow V˙<br />

gal <strong>and</strong> water velocity. For<br />

finned-tube coils, a temperature rise <strong>of</strong> 10 to 20°F (5.6 to 11.1°C) is generally used. Water-side<br />

pressure drop is usually limited to 10 psi, about 22.5 ft WC (69 kPa). A water velocity between 2<br />

<strong>and</strong> 6 ft/s (0.6 <strong>and</strong> 1.8 m/s) <strong>and</strong> a pressure drop <strong>of</strong> 10 ft WC (30 kPa) should be maintained for reasonable<br />

pump power consumption.<br />

Dry Coil at Part-Load Operation<br />

Q cs � 60V˙ a� ac pa(T ae � T we)�<br />

Because the sensible cooling <strong>and</strong> heating processes are horizontal lines on the psychrometric chart,<br />

if the entering chilled water temperature or hot water temperature remains the same at part-load as<br />

in full-load operation, then the reduction <strong>of</strong> water flow rates at part-load operation tends to shorten<br />

the horizontal lines from el to elp (as shown in Fig. 15.29) to maintain the required space temperature<br />

at part-load operation.

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