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Response behaviour of hot wires and films to flows of different gases

Published online by Cambridge University Press:  21 April 2006

William M. Pitts  and
Bernard J. McCaffrey
William M. Pitts
Affiliation:
Center for Fire Research, National Bureau of Standards, Gaithersburg, MD 20899, USA
Bernard J. McCaffrey
Affiliation:
Center for Fire Research, National Bureau of Standards, Gaithersburg, MD 20899, USA
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Abstract

Measurements of the voltage output for hot-wire and film anemometers placed in flows of nine different gases have been made as a function of flow velocity. It has been possible to correlate the measurements quite accurately by treating the data in terms of suitably defined Reynolds and Nusselt numbers. In order to obtain these correlations it has been necessary to consider and correct for the effects of probe-end conduction losses, temperature dependencies of gas molecular properties, flow slip at the probe surfaces, and gas accommodation. With the exception of the results for helium (for which accommodation effects are strong), the most important correction is shown to be that for the different temperature dependencies of the gas molecular properties. This finding is contrasted with previous studies which have assumed that the largest effect among different gases was due to variations in the Prandtl number. The importance of the nature of the flow over the cylindrical devices to the heat transfer behaviour is described. A previously unreported hysteresis in the heat transfer behaviour for Re ≈ 44 has been characterized and attributed to the presence or absence of eddy shedding from the heated cylinder.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 169 , August 1986 , pp. 465 - 512
Copyright
© 1986 Cambridge University Press

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References

Adler, L. S. & Yaws, C. L. 1975 Physical and thermodynamic properties of sulfur hexafluoride. Sol. State Technol. 18, 35–38.Google Scholar
Aihara, Y., Kassoy, D. R. & Libby, P. A. 1967 Heat transfer from cylinders at low Reynolds numbers. II. Experimental results and comparison with theory. Phys. Fluids 10, 947–952.Google Scholar
Andrews, G. E., Bradley, D. & Hundy, G. F. 1972 Hot wire anemometry calibrations for measurements of small gas velocities. Intl J. Heat Mass Transfer 15, 1765–1786.Google Scholar
ASHRAE 1976 Thermophysical Properties of Refrigerants/ASHRAE, 2nd edn. American Society of Heating, Refrigeration, and Air Conditioning Engineers.
Baccaglini, G., Kassoy, D. R. & Libby, P. A. 1969 Heat transfer to cylinders in nitrogen-helium and nitrogen-neon mixtures. Phys. Fluids 12, 1378–1381.Google Scholar
Baid, K. M. 1967 Measurement of velocity in gas mixtures. M.S. thesis, Illinois Institute of Technology.
Bakulin, S. S. & Ulybin, S. A. 1978 Thermal conductivity of sulfur hexafluoride at temperatures of 230–350 K and pressures up to 50 MPa. High Temper. 16, 46–52 (translation of Tep. Vys. Temper. 16, 59–66).Google Scholar
Betchov, R. 1948 L'influence de la conduction thermique sur les anemometres a fils chauds. Proc. Kom. Ned. Akad. Wetenscha. 51, 721–730. See also Betchov, R. 1949 Theorie non-lineaire de l'anemometre a fil chaud. Proc. Kom. Ned. Akad. Wetenscha. 52, 195–207 (translated in Nonlinear theory of a hot-wire anemometer. National Advisory Committee for Aeronautics Tech. Mem. NACA-TM1346, 1952).Google Scholar
Bradbury, L. J. S. & Castro, I. P. 1972 Some comments on heat-transfer laws for fine wires. J. Fluid Mech. 51, 487–495.Google Scholar
Bradshaw, P. 1971 An Introduction to Turbulence and Its Measurement, Pergamon.
Brown, G. L. & Rebollo, M. R. 1972 A small, fast-response probe to measure composition of a binary gas mixture. AIAA J. 10, 649–652.Google Scholar
Bruun, H. H. 1975 On the temperature dependence of constant temperature hot-wire probes with small wire aspect ratio. J. Phys. E: Sci. Instrum. 8, 942–951Google Scholar
Champagne, F. H. & Lundberg, J. L. 1966 Linearizer for constant temperature hot wire anemometry. Rev. Sci. Instrum. 37, 838–843.Google Scholar
Collis, D. C. 1956 Forced convection of heat from cylinders at low Reynolds numbers. J. Aero. Sci. 23, 697–698.Google Scholar
Collis, D. C. & Williams, M. J. 1959 Two-dimensional convection from heated wires at low Reynolds numbers. J. Fluid Mech. 6, 357–384.Google Scholar
Comte-Bellot, G. 1976 Hot-wire anemometry. Ann. Rev. Fluid Mech. 8, 209–231.Google Scholar
Comte-Bellot, G. 1977 Hot-wire and hot-film anemometry. In Measurement of Unsteady Fluid Dynamic Phenomena (ed. B. E. Richards), pp. 123–162. Hemisphere.
Conger, W. M. 1965 The measurement of concentration fluctuations in the mixing of two gases by hot-wire anemometry techniques. Ph.D. thesis, University of Pennsylvania.
Corrsin, S. 1949 Extended applications of the hot-wire anemometer. National Advisory Committee for Aeronautics Tech. Note NACA-TA1864.
Corrsin, S. 1963 Turbulence: experimental methods. In Handbuch der Physik, Vol. 8/2 (eds. S. Flugge & C. Truesdell), pp. 523–590. Springer.
Davies, P. O. A. L. & Fisher, M. J. 1964 Heat transfer from electrically heated cylinders. Proc. R. Soc. Lond. A 280, 486–527.Google Scholar
Devienne, F. M. 1967 Accommodation coefficients and the solid-gas interface. In The Solid-Gas Interface, vol. 2 (ed. E. A. Flood), pp. 815–828, Marcel-Dekker.
Ehya, H., Faubert, F. M. & Springer, G. S. 1972 Thermal-conductivity measurements of propane and N-butane in the range 300 to 1000 Deg K. Trans. ASME C: J. Heat Trans. 94, 262–265.Google Scholar
Fingerson, L. M. & Ahmed, A. M. 1976 Operation and application of cooled film sensors for measurements in high-temperature gases. In Measurements in Heat Transfer (eds E. R. Eckert & R. J. Goldstein), pp. 579–596. McGraw-Hill.
Fingerson, L. M. & Freymuth, P. 1983 Thermal anemometers. In Fluid Mechanics Measurements (ed. R. J. Goldstein), pp. 99–154. Hemisphere.
Flood, E. A. & Hobson, J. P. 1967 Simple kinetic theory and accommodation, reflection and adsorption of molecules. In The Solid-Gas Interface, vol. 2 (ed. E. A. Flood), pp. 829–846, Marcel-Dekker.
Geller, V. Z. & Gorykin, S. F., Zaporozhan, G. V. & Voitenko, A. K.1975 Study of thermal conductivity of freon-13B1 and freon-23 over a wide range of state parameters (in Russian). J. Engng Phys. 24, 581–588.Google Scholar
Goldstein, S. (ed). 1938 Modern Developments in Fluid Dynamics, vol. 1. Oxford.
Hellemans, J. M., Kestin, J. & Ro, S. T. 1973 The viscosity of CH4, CF4 and SF6 over a range of temperatures. Physica 65, 376–380.Google Scholar
Hilpert, R. 1933 Warmeabgabe von geheizten Drahten und Rohren im Luftstrom. Forsch. Gebiet. Ingen. 4, 215–224.Google Scholar
Hinze, J. O. 1975 Turbulence, 2nd edn. McGraw-Hill; International Critical Tables of Numerical Data 1929 Physics, Chemistry and Technology, vol. 5. McGraw-Hill.
Kannuluik, W. G. & Carman, E. H. 1951 The temperature dependence of the thermal conductivity of air. Austral. J. Sci. Res. 4, 305–314.Google Scholar
Kassoy, D. R. 1967 Heat transfer from cylinders at low Reynolds numbers, I. Theory for variable property flow. Phys. Fluids 10, 938–946.Google Scholar
Kays, W. M. & Crawford, M. E. 1980 Convective Heat and Mass Transfer, 2nd edn. McGraw-Hill.
Kennard, E. H. 1938 Kinetic Theory of Gases. McGraw-Hill.
Khalifa, H. E., Kestin, J. & Wakeham, W. A. 1979 The theory of the transient hot-wire cell for measuring the thermal conductivity of gaseous mixtures. Physica 97A, 273–286.Google Scholar
King, L. V. 1914 On the convection of heat from small cylinders in a stream of fluid: determination of the convection constants of small platinum wires with applications to hot-wire anemometry. Phil. Trans. R. Soc. Lond. A 214, 373–432.Google Scholar
Koch, F. A. & Gartshore, I. S. 1972 Temperature effects on hot wire anemometer calibrations. J. Phys. E: Sci. Instrum. 5, 58–61Google Scholar
Kramers, H. 1946 Heat transfer from spheres to flowing media. Physica 12, 61–80.Google Scholar
Kreith, F. 1973 Principles of Heat Transfer, 3rd edn. Harper & Row.
Lowell, H. H. 1950 Design and applications of hot-wire anemometers for steady-state measurements at transonic and supersonic airspeeds. National Advisory Committee for Aeronautics Tech. Note NACA-TN2117.
Mcquaid, J. & Wright, W. 1973 The response of a hot-wire anemometer in flows of gas mixtures. Intl J. Heat Mass Transfer 16, 819–828.Google Scholar
Morrison, G. L. 1976 Errors in heat transfer laws for constant temperature hot wire anemometers. J. Phys. E: Sci. Instrum. 9, 50–52Google Scholar
Perry, A. E. 1982 Hot-Wire Anemometry. Oxford University Press.
Pitts, W. M. & Kashiwagi, T. 1983 The application of laser-induced Rayleigh light scattering to the study of turbulent mixing. National Bureau of Standards Internal Rep. NBSIR 83–2641.Google Scholar
Pitts, W. M. & Kashiwagi, T. 1984 The application of laser-induced Rayleigh light scattering to the study of turbulent mixing. J. Fluid Mech. 141, 391–429.Google Scholar
Pitts, W. M. & McCaffrey, B. J. 1985 Response behaviour of hot-wires and films to flows of different gases. Nat. Bur. Stand. Internal. Rep. NBSIR 85–3203.Google Scholar
Pitts, W. M., McCaffrey, B. J. & Kashiwagi, T. 1983 A new diagnostic for simultaneous, time-resolved measurements of concentration and velocity in simple turbulent flow systems. Presented at the Fourth Symp. on Turbulent Shear Flows, Karlsruhe, W. Germany (Sept. 12–14).
Schlichting, H. 1960 Boundary Layer Theory, 4th edn. (translated J. Kestin). McGraw-Hill.
Simpson, R. L. & Wyatt, W. G. 1973 The behavior of hot-film anemometers in gas mixtures. J. Phys. E: Sci. Instrum. 6, 981–987Google Scholar
Thomas, L. B. 1967 Thermal accommodation of gases on solids. In Fundamentals of Gas-Surface Interactions (Ed. H. Saltsburg, J. N. Smith & M. Rogers), pp. 346–369. Academic.
Tombach, I. H. 1969 Velocity measurements with a new probe in inhomogeneous turbulent jets. Ph.D. thesis, California Institute of Technology.
Tombach, I. H. 1973 An evaluation of the heat pulse anemometer for velocity measurement in inhomogeneous turbulent flow. Rev. Sci. Instrum. 44, 141–148.Google Scholar
Touloukian, Y. S., Liley, P. E. & Saxena, S. C. 1970 Thermophysical properties of matter. The TPRC Data Series, vol. 3. Thermal Conductivity—Nonmetallic Liquids and Gases. IFI/Plenum.
Touloukian, Y. S. & Makitas, T. 1970 Thermophysical properties of matter. The TPRC Data Series, vol. 6, Specific Heat—Nonmetallic Liquids and Gases, IFI/Plenum.
Touloukian, Y. S., Powell, R. W., Ho, C. Y. & Klemens, P. G. 1970a Thermophysical Properties of Matter, The TPRC Data Series, vol. 1, Thermal Conductivity—Metallic Elements and Alloys, IFI/Plenum, New York.
Touloukian, Y. S., Powell, R. W., Ho, C. Y. & Klemens, P. G. 1970b Thermophysical Properties of Matter, The TPRC Data Series, vol. 2, Thermal Conductivity—Nonmetallic Solids, IFI/Plenum, New York.
Touloukian, Y. S., Saxena, S. C. & Hestermans, P. 1975 The Thermophysical Properties of Matter, The TPRC Data Series, vol. 11, Viscosity, IFE/Plenum, New York.
Wasan, D. T. & Baid, K. M. 1971 Measurement of velocity in gas mixtures: hot-wire and hot-film anemometry. AIChE J. 17, 729–731.CrossRefGoogle Scholar
Wasan, D. T., Davis, R. M. & Wilke, C. R. 1968 Measurement of the velocity of gases with variable fluid properties. AIChE J. 14, 227–234.Google Scholar
Whitaker, S. 1968 Introduction to Fluid Mechanics. Prentice-Hall.
Whitaker, S. 1977 Fundamental Principles of Heat Transfer. Pergamon.
Wu, P. & Libby, P. A. 1971 Heat transfer to cylinders in helium and helium-air mixtures. Intl J. Heat Mass Transfer 14, 1071–1077.Google Scholar