SpectraSim Documentation
Parameter · 05 Boundary Conditions

Grazing Mach number (flow)

perforate.grazing_mach_flow Step 05 · Boundary Conditions

With the grazing velocity set to "Mach number": the grazing Mach number of the whole perforated tube. The grazing velocity of the grazing correction is this number times the speed of sound at the material temperature.

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Theory

The grazing correction needs, for every wall face, the ratio of hole velocity ∣Un∣/σ\lvert U_n\rvert/\sigma to grazing velocity V∞V_\infty (Grazing correction). With this option one V∞V_\infty applies to every face, equation (1); the speed of sound is that of the case's gas at the material temperature, with the gas constant and ratio of specific heats of the Material step.

The value is stored in its own setting, grazing_mach_flow, which only the grazing correction of the flow solution uses. The acoustic grazing Mach number of the wall is a separate input (Grazing Mach number (acoustics)). Older case files kept both in one setting; when such a file used it for the flow, the number is kept for the flow and the acoustic value stays as stored.

Equations

V∞=M γ Rs TV_\infty = M\,\sqrt{\gamma\,R_s\,T}
(1)
wheremeaningunit
V∞V_\inftyGrazing velocity used for every facem/s
MMGrazing Mach number (this setting)-
γ\gammaRatio of specific heats of the gas-
RsR_sSpecific gas constantJ/(kg·K)
TTMaterial temperatureK

Default and rule

Default
0.1 (shown when nothing is stored)
Rule

The card shows 0.1 when no number is stored; the value is saved only while the grazing velocity is set to "Mach number".

Source

The use of a free-stream grazing velocity: (Rogers and Hersh, 1975). 0.1 is a placeholder, not a measured value.

Valid range 0 ≤ M ≤ 0.6

Values

0 to 0.6.

Separate from the acoustics

This field does not change the acoustic grazing Mach number (Grazing Mach number (acoustics)). The flow side converts with the speed of sound at the material temperature, the acoustics with that of the local gas at the perforate.

References 1

  1. Rogers, T. and Hersh, A. S. (1975). The effect of grazing flow on the steady state resistance of square-edged orifices. 2nd Aeroacoustics Conference, AIAA Paper 75-493. DOI 10.2514/6.1975-493