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Balancing of a Water and Air System (PDF

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Example 3: Find the nearest st<strong>and</strong>ard size round duct to h<strong>and</strong>le 4600 cfm at a velocity <strong>of</strong><br />

1000 fpm.<br />

Solution<br />

Area <strong>of</strong> the duct in ft² is equal to: <strong>Air</strong>flow cfm / Velocity fpm<br />

Food square to inch square is equal to: ft² X 144 = in²<br />

In² to duct radius is equal to: √ square root <strong>of</strong>; area in² / ∏ (3.14)<br />

Radius to diameter is equal to: radius X 2 = diameter<br />

4600 cfm / 1000 fpm = 4.6 ft²<br />

4.6 ft² X 144 = 662.4 in²<br />

662.4 in² / 3.14 ∏ = 210.95<br />

Duct Flow<br />

√ <strong>of</strong> 210.95 = 14.52<br />

14.52 X 2 = 29.05<br />

29.05” diameter <strong>of</strong> a duct for 4600 cfm at 1000 fpm<br />

The preferred method <strong>of</strong> measuring duct volumetric flow is the pitot-tube traverse<br />

average. The maximum straight run should be obtained before <strong>and</strong> after the traverse<br />

station. To obtain the best duct velocity pr<strong>of</strong>ile, measuring points should be located as<br />

shown in Chapter 14 <strong>of</strong> the 2001 ASHRAE H<strong>and</strong>book—Fundamentals <strong>and</strong> ASHRAE<br />

St<strong>and</strong>ard 111. When using factory-fabricated volume-measuring stations, the<br />

measurements should be checked against a pitot-tube traverse.<br />

Power input to a fan’s driver should be used as only a guide to indicate its delivery; it<br />

may also be used to verify performance determined by a reliable method (e.g., pitot-tube<br />

traverse <strong>of</strong> system’s main) that considers possible system effects. For some fans, the<br />

flow rate is not proportional to the power needed to drive them. In some cases, as with<br />

forward-curved-blade fans, the same power is required for two or more flow rates. The<br />

backward-curved-blade centrifugal fan is the only type with a flow rate that varies directly<br />

with the power input.<br />

Pitot Tube Traverses<br />

Procedures<br />

• To accomplish repeatable traverse measurements, take the measurements in a<br />

specific, measured pattern, as indicated in 3.2. below.<br />

• Duct size must not change in a traversed section.<br />

• Face the Pitot tube into the air stream, parallel to the ductwork at each measurement<br />

point, <strong>and</strong> measure the velocity.<br />

• Convert velocity pressure to fpm velocity before averaging if the traverse is taken at<br />

other than st<strong>and</strong>ard conditions.<br />

• Take traverse measurements at actual conditions <strong>and</strong> actual cubic feet per minute<br />

[Actual CFM]. Correct Actual CFM to st<strong>and</strong>ard CFM [St<strong>and</strong>ard CFM] when specified by<br />

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