Asymptotic Behavior at Low-Frequency

A graphical method was reported by Tribollet et al. that can be used to extract Schmidt numbers from experimental data in which the convective-diffusion impedance dominates. 3 The technique accounts for the finite value of the Schmidt 

the quantity ASc may be obtained by plotting Re Z as a function of pIm Z, and the straight line of slope s = ASc is fitted to the low frequency data. The constant A was obtained taking into accoimt the above development. 

The value of the Schmidt number is then obtained by solving the equation 

This approach is attractive because d Re Z /dp Im Z is constant over a substantial frequency range. 

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Equation (31) has an unphysical ooa asymptotic behavior at low frequencies. A physically more correct form is given by the hybrid function introduced by Brodin et al. [227]. 

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