SpectraSim Documentation
Parameter · 05 Boundary Conditions

Micro-perforation: holes or slits

perforate.mpp_shape Step 05 · Boundary Conditions

Whether the micro-perforated wall has circular holes or slits. It selects the laminar flow law of the flow type "Micro-perforated (laminar)".

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Theory

Steady laminar flow through a circular hole of diameter dd loses 32μtUh/d232\mu t U_h/d^2 (Poiseuille), through a slit of width bb 12μtUh/b212\mu t U_h/b^2; with the hole velocity Uh=U/σU_h = U/\sigma these are the linear terms of the wall's pressure jump Maa (1998) Kabral et al. (2014). With acoustics on, the wall's impedance model is always a micro-perforate model, which already says holes (Maa) or slits: its shape is used and this choice is hidden. It is shown only in a flow-only case, where no impedance model is chosen.

Equations

D=32σd2 (holes),D=12σb2 (slits)D = \frac{32}{\sigma d^2} \ \text{(holes)}, \qquad D = \frac{12}{\sigma b^2} \ \text{(slits)}
(1)
wheremeaningunit
DDDarcy coefficient of the pressure jump1/m^2
σ\sigmaOpen-area ratio-
d,bd, bHole diameter, slit widthm

Default and rule

Default
circular holes
Rule

Circular holes.

Source

Maa (1998) eq. 3a (zero-frequency limit); Kabral et al. (2014) eq. 2 (zero-frequency limit).

Valid range circular holes | slits

Shape

Holes or slits; the aperture is entered next to it.

References 2

  1. Kabral, R., Du, L., Abom, M. and Knutsson, M. (2014). A compact silencer for the control of compressor noise. SAE International Journal of Engines, 7(3), 1572-1578. DOI 10.4271/2014-01-2060
  2. Maa, D.-Y. (1998). Potential of microperforated panel absorber. Journal of the Acoustical Society of America, 104(5), 2861-2866. DOI 10.1121/1.423870