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Impedance Measurements of Inertance Tubes at High Frequency and Pressure



Michael A. Lewis, Ryan P. Taylor, Peter E. Bradley, Ray Radebaugh, Gershon Grossman, Zhihua Gan


Previous comparisons between measured and calculated inertance tube impedance were made at frequencies below 70 Hz and average pressures below 3 MPa. In this paper, we present results on similar comparisons for frequencies up to 150 Hz and average pressures up to 3.5 MPa. Measurements were made on inertance tubes from 1.0 mm to about 3.0 mm, as well as a double diameter arrangement. Pressure ratios were varied from 1.1 to 1.45, and acoustic powers up to about 80 W were used in these measurements. The higher frequencies have the potential of reducing the size of both the pressure oscillator and the cold finger for a given refrigeration power. The smaller cold finger also leads to faster cool-down. In these experiments, flow at the entrance to the inertance tube was determined from measurements of the calibrated pressure drop through a transfer line from the compressor combined with the screen stack through an aftercooler. The wide range of frequencies and acoustic powers covered in these measurements enable us to separate the effects of compliance and inertance in the comparisons with transmission line and thermoacoustic models.
Conference Dates
July 16-20, 2007
Conference Location
Chatanooga, TN, USA
Conference Title
2007 Cryogenic Engineering Conference and International Cryogenic Materials Conference


acoustic power, compliance, impedance, inertance, linear compressor, mass flow, phase thermoacoustic, transmission line model


Lewis, M. , Taylor, R. , Bradley, P. , Radebaugh, R. , Grossman, G. and Gan, Z. (2007), Impedance Measurements of Inertance Tubes at High Frequency and Pressure, 2007 Cryogenic Engineering Conference and International Cryogenic Materials Conference, Chatanooga, TN, USA, [online], (Accessed June 20, 2024)


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Created July 15, 2007, Updated October 12, 2021