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Handbook of air conditioning and refrigeration / Shan K

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17.38 CHAPTER SEVENTEEN<br />

Entrances, Exits, Enlargements, <strong>and</strong> Contractions<br />

Entrances <strong>and</strong> exits are the end openings mounted on a duct or a duct wall, as shown in Fig. 17.14.<br />

Because <strong>of</strong> the change in direction <strong>of</strong> the streamlines at the entrance, eddies <strong>and</strong> large-scale<br />

turbulences develop along the duct wall when the <strong>air</strong>stream passes through the entrance. Generally,<br />

the total pressure drop �p t <strong>of</strong> the <strong>air</strong>stream before it enters the entrance is negligible. A sharp-edge<br />

entrance may have a C o � 0.9, whereas for an entrance flush-mounted with the wall, C o reduces to<br />

0.5. An entrance with a conical converging bellmouth may further reduce C o to 0.4. If an entrance<br />

with a smooth converging bell mouth is installed, C o could be as low as 0.1.<br />

When the <strong>air</strong> flows through a wall outlet or an exit, flow separation occurs along the surface <strong>of</strong><br />

the vanes, <strong>and</strong> wakes are formed downstream, so there is a drop in total pressure. The velocity <strong>of</strong><br />

the <strong>air</strong>stream reaches its maximum value at the vena contracta, where the cross section <strong>of</strong> <strong>air</strong>flow is<br />

minimum <strong>and</strong> the static pressure is negative. The total pressure loss at the outlet always includes the<br />

velocity pressure <strong>of</strong> the discharge <strong>air</strong>stream.<br />

Various types <strong>of</strong> return inlets, such as grilles <strong>and</strong> louvers, <strong>and</strong> supply outlets, such as diffusers,<br />

are discussed in Chapter 18.<br />

When <strong>air</strong> flows through an enlargement or a contraction, flow separation occurs <strong>and</strong> produces eddies<br />

<strong>and</strong> large-scale turbulences after the enlargement, or before <strong>and</strong> after the contraction. Both cause<br />

a total pressure loss �p t, as shown in Fig. 17.15. To reduce the energy loss, a gradual expansion, <strong>of</strong>ten<br />

called a diffuser, or converging transition is preferred. An expansion with an including angle <strong>of</strong> enlargement<br />

� � 14°, as shown in Fig. 17.15a, is ideal. In actual practice, � may be from 14° to 45° because<br />

<strong>of</strong> limited space. For converging transitions, an including angle <strong>of</strong> 30° to 60° is usually used.<br />

17.7 FLOW RESISTANCE<br />

FIGURE 17.15 Enlargements <strong>and</strong> contractions: (a) abrupt enlargement; (b) sudden contraction.<br />

Flow resistance is a property <strong>of</strong> fluid flow that measures the characteristics <strong>of</strong> a flow passage which<br />

resist the fluid flow in that passage with a corresponding total pressure loss at a specific volume

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