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Phase decoupling frequency

The phase decoupling frequency f_d is the frequency beyond which it is assumed that a motion of the fluid phase does not induce a motion of the solid phase. The motion of the solid phase is thus depending on mechanical excitation only.
If no mechanical excitation is applied to the porous material, beyond the phase decoupling frequency, the material skeleton (or solid phase) can be considered as motionless.

An expression of the phase decoupling frequency is given by Zwikker and Kosten [ZK49]:

fd=sigma*phi^2/(2*pi*rho_1) (1)

where sigma is the static air flow resistivity of the material, phi its open porosity and rho_1 its density.

References

[ZK49] Zwikker C. and Kosten C. W., Sound absorbin materials, Elsevier, New-York, 1949.

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