A novel lumped-element technique is employed to measure the complex density of a gas in circular pores. The complex density expresses the geometry-dependent viscous coupling between the gas and the pore walls and is related to the thermoacoustic function or equivalently, The acoustic impedance of a compliant region coupled to a pore (or pore-array) is measured and the impedance of the compliant region is subtracted to yield the impedance of the pore(s) alone, which is directly related to Pores of different lengths are measured in order to eliminate end effects. Working down to very low frequencies achieves a wide range of values for the ratio of the viscous penetration depth to the mean pore size. The results agree very well with analytical solutions for circular pores. The technique is also applied to two porous foam materials. Comparing the results to previous measurements of the complex compressibility, it is shown that two different shape factors (or equivalently, characteristic dimensions) are required to account for the data.
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October 2001
October 01 2001
Lumped-element technique for the measurement of complex density
A. Petculescu;
A. Petculescu
Department of Physics and Astronomy, Ohio University, Athens, Ohio 45701
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L. A. Wilen
L. A. Wilen
Department of Physics and Astronomy, Ohio University, Athens, Ohio 45701
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J. Acoust. Soc. Am. 110, 1950–1957 (2001)
Article history
Received:
October 31 2000
Accepted:
July 06 2001
Citation
A. Petculescu, L. A. Wilen; Lumped-element technique for the measurement of complex density. J. Acoust. Soc. Am. 1 October 2001; 110 (4): 1950–1957. https://doi.org/10.1121/1.1401743
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