SpectraSim Documentation
Parameter · 05 Boundary Conditions

Single-hole resistance (Sullivan & Crocker)

perforate.hole_resistance Unit: rayl Step 05 · Boundary Conditions

The linear acoustic resistance of one hole, used only by the legacy Sullivan & Crocker model. It is a measured property of a particular perforate, not a general law.

Last updated

Theory

Sullivan & Crocker measured the impedance of one perforate (hole diameter 2.49 mm, plate 0.81 mm) without flow. They found a frequency-independent resistance of about 2.4 kg m⁻² s⁻¹ in the linear regime and a reactance fitted by an end correction of 0.75 d0.75\,d (Sullivan and Crocker, 1978). The program keeps the reactance law and takes the resistance from this field, normalised by ρc\rho c of the local gas, equation (1). The wall impedance is then ζh/σ\zeta_h/\sigma (Acoustic impedance model of a perforated wall).

Equations

ζh=rρc+ik (t+0.75 d)\zeta_h = \frac{r}{\rho c} + ik\,(t + 0.75\,d)
(1)
wheremeaningunit
rrSingle-hole resistance (this field)kg m⁻² s⁻¹
ρ,c\rho, cDensity and speed of sound of the local gaskg/m³, m/s
kkWavenumber1/m
t,dt, dWall thickness and hole diameterm

Default and rule

Default
2.4 rayl (kg m⁻² s⁻¹)Measured
Rule

2.4 rayl, the paper's measured value for its perforate. Enter a measurement of your own for another perforate.

Source

(Sullivan and Crocker, 1978), section III.A and Fig. 5.

Valid range > 0

Values

Above 0.

Legacy model

The model has no flow dependence and the value belongs to one plate; it is offered only to walls that already use it. The Elnady model covers this case.

References 1

  1. Sullivan, J. W. and Crocker, M. J. (1978). Analysis of concentric-tube resonators having unpartitioned cavities. The Journal of the Acoustical Society of America, 64(1), 207-215. DOI 10.1121/1.381963