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Handbook of air conditioning and refrigeration / Shan K

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Duct Rumble<br />

Transmission Loss<br />

sound power level in the ceiling plenum or the occupied zone, <strong>and</strong> is transmitted to the receiver.<br />

Noise that radiates through the duct wall <strong>and</strong> causes the duct wall to vibrate, caused either by internal<br />

sound waves or by <strong>air</strong>flow turbulence, is called breakout. Noise can also be transmitted into a<br />

duct <strong>and</strong> then travel along the duct-borne path, either discharging into a space through the duct<br />

opening or breaking out into ambient <strong>air</strong>, where it is transmitted to the receiver. The transmission <strong>of</strong><br />

external noise into a duct section through the duct wall is called break-in.<br />

Breakout fan noise from the discharge duct directly under a ro<strong>of</strong>top packaged unit into the ceiling<br />

plenum may cause a serious acoustic problem in the underlying conditioned space.<br />

Duct rumble is the result <strong>of</strong> <strong>air</strong> pressure fluctuations caused by variations in the speed <strong>of</strong> the fan,<br />

fan motor, or fan belt or due to the <strong>air</strong>flow instabilities transmitted to the fan housing or nearby<br />

ductwork. When the <strong>air</strong> pressure fluctuations are exerted on large, flat, <strong>and</strong> unreenforced duct surfaces<br />

that have resonance frequencies near or equal to the fluctuating frequencies, the duct surfaces<br />

vibrate. Poor fan outlet connections <strong>of</strong>ten generate duct rumbles. Duct rumble can produce sound<br />

pressure levels <strong>of</strong> 65 to 95 dB at frequencies from 10 to 100 Hz.<br />

Changing the fan speed as well as the frequencies <strong>of</strong> the <strong>air</strong> pressure fluctuations is one method<br />

to reduce duct rumble. Another method is to increase the rigidity <strong>of</strong> the duct wall <strong>and</strong> thus change<br />

the resonance frequencies. Low-frequency duct rumble noise is very difficult to attenuate by duct<br />

liners.<br />

Transmission loss (TL) is the reduction <strong>of</strong> sound power when sound is transmitted through a wall, a<br />

partition, or a barrier. The relationship between transmission loss <strong>and</strong> mass <strong>of</strong> the material indicates<br />

that the sound transmission loss <strong>of</strong> a homogeneous solid partition is a function <strong>of</strong> its mass <strong>and</strong> the<br />

frequency <strong>of</strong> sound f transmitted through it. This relationship can be expressed in the following<br />

form:<br />

where m s � surface density <strong>of</strong> homogeneous partition, lb/ft 2 (kg/m 2 ). Concrete walls <strong>and</strong> galvanized<br />

sheet ducts show that for each doubling <strong>of</strong> the mass partition, TL increases about 2 to 3 dB<br />

for low-frequency noise (less than 800 Hz), <strong>and</strong> TL increases about 5 to 6 dB for high-frequency<br />

sound (800 Hz <strong>and</strong> over).<br />

(19.7)<br />

The TL-mass relationship is valid only when sound is incident on the surface <strong>of</strong> the partition in<br />

a normal direction <strong>and</strong> is an approximation. Actual measured data may show considerable deviation<br />

from the predicted values. Factors that cause deviations are nonhomogeneity, cracks, stiffness, <strong>and</strong><br />

resonance. Cracks <strong>and</strong> gaps around doors, windows, duct <strong>and</strong> piping sleeves, or other openings<br />

on the partition or wall may considerably reduce TL. The TL <strong>of</strong> a well-sealed partition <strong>of</strong> 100 ft 2<br />

(9.3 m 2 ) surface area may drop from 40 to 20 dB because <strong>of</strong> a total <strong>of</strong> 1 ft 2 (0.093 m 2 ) <strong>of</strong> openings<br />

on that partition.<br />

Breakout <strong>and</strong> Break-in Sound Power Level<br />

TL � F(log m s, log f )<br />

According to ASHRAE <strong>H<strong>and</strong>book</strong> 1999, HVAC Applications, the breakout sound power level radiated<br />

from the outer surface <strong>of</strong> duct walls L w,out, in dB, can be calculated as<br />

L w,out � L w,in � 10 log<br />

S<br />

A i<br />

� TL out<br />

SOUND CONTROL 19.19<br />

(19.8)

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