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Exterior noise: Assessment and control     C HAPTER 22.1


                                                         Silencer           Silencer
                                   Silencer volume   cross sectional area  ×  chamber length


                                                      expansion ratio


                                   Pipe diameter

                                   Silencer position                     tailpipe length

           Fig. 22.1-23 Important parameter in flow duct acoustics.


           Some rules of thumb for acoustic design of silencers:  manifold is extended through the entire intake
                                                                system.
            Maximum attenuation 20 log 10 (expansion ratio) dB  2. Frequency domain predictions – where the acoustic
            Intake filter        3–5 times                       characteristics of the intake system are predicted in
            box volume          the engine swept volume         terms of their variation with frequency.
            Exhaust silencer    5–10 times                    Without predicting radiated noise the acoustic perfor-
            volume              the engine swept volume       mance of a system is assessed relative to a baseline, such
            Intake snorkel length  300–400 mm                 as a straight pipe, or another reference system.
                                (usually bell mounted)          Frequency domain computer programs are popular
            Exhaust tailpipe length less than 500 mm.         due to their fast run-times and their ability to adequately
            <120 Hz intake      Helmholtz resonator           model complex system geometries. Most frequency
            noise control       onto the snorkel              domain methods make the following assumptions:
            120–250 Hz intake   sidebranch resonator
            noise control       onto the snorkel                linear acoustic theory remains realistic;
            250–500 Hz intake   tuning holes, conical snorkel    one-dimensional models remain realistic;
            noise control                                       all wave propagation is planar;
            >500 Hz intake      not usually a problem           all disturbances are isentropic.
            noise control
            > 500 Hz exhaust    pack silencers with porous    22.1.3.12.6 Models for acoustic propagation
            noise control       materials such as basalt      in flow ducts
                                or wire wool
                                                              Acoustic motion in flow ducts is very complex. The
                                                              overall motion of the fluid being excited by an acoustic
           22.1.3.12.5 Predicting the acoustic behaviour      source can however be described as the sum of a variety
           of complex flow duct systems                        of modes of propagation.
           Adopting a suitable acoustic prediction method during  These modes can be described as patterns of motion
           the development programme can help reduce programme  such as axial oscillation, sloshing and spiralling. All these
           time and cost by minimising the number of prototypes  modes are generally present in a flow duct acoustic field,
           that need to be manufactured and tested.           but it is known that each mode will only propagate effi-
             Acoustic prediction models fall into two groups:  ciently at frequencies below its own specific cut-off
           1. Time domain predictions – where a prediction of the  frequency.
             gas dynamic behaviour in the intake or exhaust     This frequency is generally expressed in terms of
                                                              Helmholtz number ka, where in this section

               Build and     Combine theory    Design by                           u
                 test         and practice     computer         k ¼ wavenumber ¼                      (22.1.58)
                                                                                   c
                                                              a ¼ duct radius and u is the radial frequency in rad s  1
                                                                                                       1
                                                              and c is the speed of sound for the fluid in m s .
                   Use testing to       Use theory to           The most efficient mode of propagation is in the form
                   avoid theory  Compromise  avoid testing
                                                              of plane waves. Here, the pressure and velocity of the
           Fig. 22.1-24 Spectrum of choice for intake design strategy.  disturbance are constant across a given plane along the


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