Theory of the Greenspan viscometer

Journal of the Acoustical Society of America

Volumn 114, Issue 1, 2003, Pages 166-173

  Gillis, Keith A ^a   Mehl, James B ^a,b   Moldover, Michael R ^a  

^a NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

^b 36 Zunuqua Trail ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC DEVICES; APPROXIMATION THEORY; FREQUENCIES; GASES; HELIUM; MATHEMATICAL MODELS; RESONATORS; VISCOSITY;

ACOUSTIC VISCOMETERS;

VISCOMETERS;

ACOUSTIC FLOWMETER; GAS; MEASUREMENT METHOD; VISCOMETER; VISCOSITY;

ACCURACY; ACOUSTICS; ARTICLE; CALCULATION; DENSITY; GAS; MATHEMATICAL ANALYSIS; MODEL; PRIORITY JOURNAL; SEMICONDUCTOR; THERMAL ANALYSIS; VISCOMETER; VISCOSITY;

EID: 0037490885     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.1577550     Document Type: Article

References (24)

1. M. Greenspan and F. N. Wimenitz, "An acoustic viscometer for gases-I," NBS Report No. 2658, 1953.
2. K. A. Gillis, J. B. Mehl, and M. R. Moldover, "Greenspan acoustic viscometer for gases," Rev. Sci. Instrum. 67, 1850-1857 (1996).
3. J. Wilhelm, K. A. Gillis, J. B. Mehl, and M. R. Moldover, "An improved Greenspan acoustic viscometer," Int. J. Thermophys. 21, 983-997 (2000).
4. M. R. Moldover, K. A. Gillis, J. J. Hurly, J. B. Mehl, and J. Wilhelm, "Acoustic measurements in gases: Applications to thermophysical properties, transport properties, and the temperature scale," in Handbook of Elastic Properties of Solids, Fluids, and Gases (Academic, New York, 2000), Chap. 12.
5. M. R. Moldover, K. A. Gillis, J. J. Hurly, J. B. Mehl, and J. Wilhelm, "Acoustic measurements in gases," in Modern Acoustical Techniques for the Measurement of Mechanical Properties, edited by M. Levy, H. E. Bass, and R. Stern (Academic, New York, 2001), pp. 377-427.
6. G. Kirchhoff, "Über den Einfluss der Wärmeleitung in einem Gase auf die Schallbewegung," Ann. Phys. Chem. 134, 177 (1868); English translation "On the influence of heat conduction in a gas on sound propagation," in Benchmark Papers in Acoustics: Physical Acoustics, edited by R. B. Lindsay (Dowden, Hutchinson, & Ross, Stroudsburg, Pennsylvania, 1974), p. 7.
7. G. Kirchhoff, "Über den Einfluss der Wärmeleitung in einem Gase auf die Schallbewegung," Ann. Phys. Chem. 134, 177 (1868); English translation "On the influence of heat conduction in a gas on sound propagation," in Benchmark Papers in Acoustics: Physical Acoustics, edited by R. B. Lindsay (Dowden, Hutchinson, & Ross, Stroudsburg, Pennsylvania, 1974), p. 7.
8. I. B. Crandall, Theory of Vibrating Systems and Sound (Van Nostrand, New York, 1927), pp. 229-241.
9. J. B. Mehl, "Greenspan acoustic viscometer: Numerical calculations of fields and duct end effects," J. Acoust. Soc. Am. 106, 73-82 (1999).
10. J. B. Mehl (unpublished).
11. P. M. Morse and K. Uno Ingard, Theoretical Acoustics (McGraw-Hill, New York, 1968), Sec. 6.4.
12. The thermal term in the corresponding expression in Refs. 2-4 was reduced by an incorrect factor of 2/ρ. The correct formulation was, however, used for all data analysis.
13. O. K. Mawardi, "On the propagation of sound waves in narrow conduits," J. Acoust. Soc. Am. 21, 482-486 (1949).
14. t.)
15. J. J. Hurly and M. R. Moldover, "Ab initio values of the thermophysical properties of helium as standards," J. Res. Natl. Inst. Stand. Technol. 105, 667-688 (2000).
16. E. W. Lemmon, M. O. McLinden, and M. L. Huber, "NIST standard reference data base 23: Reference fluid thermodynamic and transport properties, version 7.0," National Institute for Standards and Technology, Standard Reference Data Program, Gaithersburg, MD, 2002.
17. J. Kestin and W. Leidenfrost, "An absolute determination of the viscosity of eleven gases over a range of pressures," Physica (Amsterdam) 25, 1033 (1959).
18. J. Kestin, R. Paul, A. A. Clifford, and W. A. Wakeham, "Absolute determination of the thermal conductivity of the noble gases at room temperature up to 35 MPa," Physica A 100, 349-369 (1980).
19. E. Vogel, "Präzisionsmessungen des Viskositätskoeffizienten von Stick-stoff und den Edelgasen zwischen Raumtemperatur und 650 K," Ber. Bunsenges. Phys. Chem. 88, 997 (1984).
20. E. Vogel, C. Kuechenmeister, E. Bich, and A. Laesecke, "Reference correlation of the viscosity of propane," J. Phys. Chem. Ref. Data 27, 947 (1988).
21. T. Strehlow and E. Vogel, "Temperature dependence and initial density dependence of the viscosity of sulfur hexafluoride," Physica A 161, 101 (1989).
22. R. F. Berg (private communication).
23. J. P. M. Trusler and M. P. Zarari, "The speed of sound in gaseous propane at temperatures between 225 K and 375 K and at pressures up to 0.8 MPa," J. Chem. Thermodyn. 28, 329-335 (1996).
24. J. J. Hurly, D. R. Defibaugh, and M. R. Moldover, "Thermodynamic properties of sulfur hexafluoride," Int. J. Thermophys. 21, 739-765 (2000).