Validation case

Parallel-baffle (splitter) silencer

Against measured transmission loss (Mechel, Formulas of Acoustics, J.22), for the parallel-baffle (splitter) silencer, mineral fibre with a porous foil cover, 50–4000 Hz, SpectraSim gives: rms 1.37 dB, largest 2.94 dB; all bands from 100 Hz to 4 kHz within ±3 dB; the 630 Hz peak reproduced.

SpectraSim 0.6.0a1 · Measured · Row in the validation table

1.37 dB TL rms difference, 50 Hz to 4 kHz
Cutaway of a parallel-baffle duct silencer: three mineral-fibre splitters with hard heads stand in a rectangular duct; arrows show the air passing through the four airways.
Parallel-baffle (splitter) silencer, mineral fibre with a porous foil cover, 50–4000 Hz. Cut away to show the inside.
Results

How close is SpectraSim?

Rms 1.37 dB, largest 2.94 dB; all bands from 100 Hz to 4 kHz within ±3 dB; the 630 Hz peak reproduced.

Transmission loss of a parallel-baffle silencer, 50 Hz to 10 kHz, log frequency: SpectraSim with and without the porous foil against measured 1/3-octave values with a ±3 dB band.
SpectraSim with and without the porous foil against the measured 1/3-octave values; the shaded band is the ±3 dB acceptance criterion.

Model and set-up

Reference
Measured transmission loss (Mechel, Formulas of Acoustics, 2008, J.22)
  • Silencer length 0.5 m, airway 0.24 m, splitter 0.36 m; mineral fibre 11 kPa·s/m², hard splitter heads.
  • Porous foil cover as a purely resistive screen of one ρc; its mass is neglected, which matters only below about 300 Hz.
  • One periodic cell (half a splitter and half an airway) with rigid symmetry walls, plane-wave incidence, 91 frequencies from 40 Hz to 4 kHz.

How to read the result

  • Every 1/3-octave band from 100 Hz to 4 kHz is within the ±3 dB acceptance criterion.
  • The 630 Hz peak is reproduced: it sits at the first cross-mode cut-on of the 0.6 m splitter period.
  • Without the foil the rms is about the same, but the TL is 2–3 dB too high from 500 Hz to 1.25 kHz: the foil is needed to match the measurement.

Check it on your own muffler.

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