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Handbook of air conditioning and refrigeration / Shan K

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17.8 CHAPTER SEVENTEEN<br />

Theoretically, the velocity pressure p vt should be calculated as<br />

pvt � (17.21)<br />

Its value is slightly different from pv calculated from Eq. (17.9), which is based on mean velocity v.<br />

For a fully developed turbulent flow, pvt � 1.06pv. Since most experimental results <strong>of</strong> pressure loss<br />

(indicated in terms <strong>of</strong> velocity pressure) are calculated by pv � �v2/(2gc), for the sake <strong>of</strong> simplicity<br />

pv is used here instead <strong>of</strong> pvt. �[�v2 / (2gc)] vdA<br />

�v dA<br />

17.2 CHARACTERISTICS OF AIR FLOW IN DUCTS<br />

Types <strong>of</strong> Air Duct<br />

Air ducts can be classified into four types according to their transporting functions:<br />

1. Supply duct. Conditioned <strong>air</strong> is supplied to the conditioned space.<br />

2. Return duct. Space <strong>air</strong> is returned (1) to the fan room where the <strong>air</strong>-h<strong>and</strong>ling unit is installed or<br />

(2) to the packaged unit.<br />

3. Outdoor <strong>air</strong> duct. Outdoor <strong>air</strong> is transported to the <strong>air</strong>-h<strong>and</strong>ling unit, to the fan room, or to the<br />

space directly.<br />

4. Exhaust duct. Space <strong>air</strong> or contaminated <strong>air</strong> is exhausted from the space, equipment, fan room,<br />

or localized area.<br />

Each <strong>of</strong> these four types <strong>of</strong> duct may also subdivide into headers, main ducts, <strong>and</strong> branch ducts or<br />

runouts. A header is that part <strong>of</strong> a duct that connects directly to the supply or exhaust fan before <strong>air</strong><br />

is supplied to the main ducts in a large duct system. Main ducts have comparatively greater flow<br />

rates <strong>and</strong> size, serve a greater conditioned area, <strong>and</strong>, therefore, allow higher <strong>air</strong> velocities. Branch<br />

ducts are usually connected to the terminals, hoods, supply outlets, return grilles, <strong>and</strong> exhaust<br />

hoods. A vertical duct is called a riser. Sometimes, a header or a main duct is also called a trunk.<br />

Pressure Characteristics <strong>of</strong> the Airflow<br />

During the analysis <strong>of</strong> the pressure characteristics <strong>of</strong> <strong>air</strong>flow in a fan duct system such as the one in<br />

Fig. 17.3, it is assumed that the static pressure <strong>of</strong> the space <strong>air</strong> is equal to the static pressure <strong>of</strong> the<br />

atmospheric <strong>air</strong>, <strong>and</strong> the velocity pressure <strong>of</strong> the space <strong>air</strong> is equal to zero. Also, for convenient<br />

measurements <strong>and</strong> presentation, as previously mentioned, the pressure <strong>of</strong> the atmospheric <strong>air</strong> is<br />

taken as the datum, that is, p at � 0, <strong>and</strong> pressure is expressed as gauge pressure. When p � p at, p is<br />

positive; <strong>and</strong> if p � p at, then p is negative. In a fan duct system, a fan or fans are connected to a<br />

ductwork <strong>and</strong> equipment.<br />

At cross section R 1, as the recirculating <strong>air</strong> enters the return grille, both the total pressure p t<br />

<strong>and</strong> static pressure p s decrease as the result <strong>of</strong> the total pressure loss <strong>of</strong> the inlet. The velocity pressure<br />

p v, indicated by the shaded section in Fig. 17.3, will gradually increase until it is equal to the<br />

velocity <strong>of</strong> the branch duct. Both p t <strong>and</strong> p s are negative so that <strong>air</strong> will flow from the conditioned<br />

space at a datum <strong>of</strong> 0 to a negative pressure. Because velocity pressure p v is always positive in the<br />

direction <strong>of</strong> flow, from Eq. (17.11) p t � p s � p v, so p s is then smaller, or more negative, than p t.<br />

When the recirculating <strong>air</strong> flows through the branch duct segment R 1-1 1, elbow 1 1-1 2, branch<br />

duct segment 1 2-1 3, diffuser 1 3-1 4, <strong>and</strong> branch duct segment 1 4-1 5, both p t <strong>and</strong> p s drop because <strong>of</strong> the<br />

pressure losses. Velocity pressure p v remains the same between cross sections R 1 <strong>and</strong> 1 3. It gradually<br />

decreases because <strong>of</strong> the diffuser 1 3-1 4 <strong>and</strong> remains the same between 1 4 <strong>and</strong> 1 5.<br />

As the recirculating <strong>air</strong> flows through the converging tee 1 5-1, this straight-through stream meets<br />

with another branch stream <strong>of</strong> recirculating <strong>air</strong> from duct section R 2-1, at node or junction 1. The

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