Hostname: page-component-cd9895bd7-jkksz Total loading time: 0 Render date: 2024-12-18T12:39:18.087Z Has data issue: false hasContentIssue false
  • English
  • Français

Velocity measurements in a high-Reynolds-number, momentum-conserving, axisymmetric, turbulent jet

Published online by Cambridge University Press:  26 April 2006

Hussein J. Hussein ,
Steven P. Capp  and
William K. George
Hussein J. Hussein
Affiliation:
Turbulence Research Laboratory, Department of Mechanical and Aerospace Engineering, State University of New York at Buffalo, Buffalo, NY 14260, USA Present address: Vanderbilt University, Nashville, TN, USA.
Steven P. Capp
Affiliation:
Turbulence Research Laboratory, Department of Mechanical and Aerospace Engineering, State University of New York at Buffalo, Buffalo, NY 14260, USA Present address: Harrison Radiator Division, General Motors Corp., Lockport, NY, USA.
William K. George
Affiliation:
Turbulence Research Laboratory, Department of Mechanical and Aerospace Engineering, State University of New York at Buffalo, Buffalo, NY 14260, USA
Get access Rights & Permissions [Opens in a new window]

Abstract

The turbulent flow resulting from a top-hat jet exhausting into a large room was investigated. The Reynolds number based on exit conditions was approximately 105. Velocity moments to third order were obtained using flying and stationary hot-wire and burst-mode laser-Doppler anemometry (LDA) techniques. The entire room was fully seeded for the LDA measurements. The measurements are shown to satisfy the differential and integral momentum equations for a round jet in an infinite environment.

The results differ substantially from those reported by some earlier investigators, both in the level and shape of the profiles. These differences are attributed to the smaller enclosures used in the earlier works and the recirculation within them. Also, the flying hot-wire and burst-mode LDA measurements made here differ from the stationary wire measurements, especially the higher moments and away from the flow centreline. These differences are attributed to the cross-flow and rectification errors on the latter at the high turbulence intensities present in this flow (30% minimum at centreline). The measurements are used, together with recent dissipation measurements, to compute the energy balance for the jet, and an attempt is made to estimate the pressure-velocity and pressure-strain rate correlations.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 258 , 10 January 1994 , pp. 31 - 75
Copyright
© 1994 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Baker, C. B. 1980 An analysis of the turbulent buoyant jet. PhD dissertation, Pennsylvania State University, University Park, PA.
Baker, C. B., George, W. K. & Taulbee, D. B. 1980 An analysis of the axisymmetric turbulent buoyant jet. Proc. 7th Intl Heat Trans. Conf. Sept. 6–10. Munich, Germany
Baturin, V. 1972 Fundamentals of Industrial Ventilation. Pergamon.
Beuther, P. D., Shabbir, A. & George, W. K. 1987 X-wire response in turbulent flows with high intensity turbulence and low mean velocity. Proc. ASME Symp. on Thermal Anemometry (ed. D. Stock), FED V53, pp. 39–42. Cincinnati, OH.
Buchhave, P. 1976 Biasing errors in individual particle measurements with the LDA-counter signal processors. In Proc. LDA Symp. Copenhagen, 1975 pp. 258–278. Dantec, Copenhagen.
Buchhave, P., George, W. K. & Lumley, J. L. 1979 The measurement of turbulence with the laser-Doppler anemometer. Ann. Rev. Fluid Mech. 11, 443–503.Google Scholar
Capp, S. P. 1983 Experimental investigation of the turbulent axisymmetric jet. PhD dissertation, University at Buffalo, SUNY.
Capp, S. P. & George, W. K. 1982 Measurements in an axisymmetric jet using a two-color LDA and burst processing. Proc. Intl Symp. on Appl. of LDA to Fluid Mechanics (ed. P. Durao et al.), 1.2, Lisbon, Portugal.
Corrsin, S. 1943 Investigation of flow in an axially symmetrical heated jet of air. NACA, Wash. Wartime Report, W-94.
Corrsin, S. & Kistler, A. L. 1955 National Advisory Committee Aeronaut. Tech. Notes 3133.
Corrsin, S. & Uberoi, M. S. 1950 Further experiments of the flow and heat transfer in a heated jet. NACA Rep.998.
Corrsin, S. & Uberoi, M. S. 1951 Spectra and diffusion in a round turbulent jet. NACA Rep. 1940 (originally published as NACA Tech. Note 2124, Aug. 1950).
George, W. K. 1979 Processing of random signals. Dynamic Measurements in Unsteady Flow, Proc. of the Dynamic Flow Conf. 1978 (ed. P. Buchhave et al.), pp. 757–800. Dantek, Copenhagen.
George, W. K. 1988 Quantitative measurement with the burst-mode laser-Doppler anemometer. Expl Thermal Fluid Sci. 1, 29–40.Google Scholar
George, W. K. 1989 The self-preservation of turbulent flows and its relation to initial conditions and coherent structures. Advances in Turbulence (ed. W. K. George & R. E. A. Arndt), pp. 39–72. Hemisphere.
George, W. K. 1990 Governing equations, experiments and the experimentalist. Expl Thermal Fluid Sci. 3, 557–566.Google Scholar
George, W. K., Beuther, P. D. & Arndt, R. E. A. 1984 Pressure spectra in turbulent free shear flows. J. Fluid Mech. 148, 155–191.Google Scholar
George, W. K., Beuther, P. D. & Shabbir, A. 1989 Polynomial calibrations for hot wires in thermally varying flows. Expl Thermal Fluid Sci. 2, 230–235.Google Scholar
George, W. K., Capp, S. P., Seif, A. A., Baker, C. B. & Taulbee, D. B. 1988 A study of the turbulent axisymmetric jet. J. Engng Sci. King Saud Univ. 14, 85–93.Google Scholar
George, W. K. & Hussein, H. J. 1991 Locally axisymmetric turbulence. J. Fluid Mech. 233, 1–23.Google Scholar
George, W. K., Seif, A. A. & Baker, C. B. 1982 Momentum balance considerations in axisymmetric turbulent jets. SUNY/Buffalo, Turbulence Research Laboratory Report TRL 115.
Hinze, J. O. 1975 Turbulence. McGraw-Hill.
Hinze, J. O. & Hegge Zijnen, der van B. G. 1949 Transfer of heat and matter in the turbulent mixing zone of an axially symmetrical jet. Appl. Sci. Res. A 1, 435–461.Google Scholar
Hussain, A. M. K. F. & Clark, A. R. 1977 Upstream influence in the near field of a plane turbulent jet. Phys. Fluids 20, 1460.Google Scholar
Lehrmann, B. 1986 Laser Doppler measurements in a turbulent free jet. DFVLR-Forschungsbericht, pp. 55–86.
List, E. J. 1979 In Mixing in Inland and Coastal Waters, Chap. 9 (ed. H. B. Fisher et al.). Academic Press.
List, E. J. 1980 Mechanics of turbulent buoyant jets and plumes. In Turbulent Jets and Plumes (ed. W. Rodi), pp. 1–68. Pergamon.
Lumley, J. L. 1978 Computational modelling of turbulent flows. Adv. Appl. Mech. 18, 123–126.Google Scholar
Monin, A. S. & Yaglom, A. M. 1971 Statistical Fluid Mechanics, Mechanics of Turbulence, vol. 1, MIT Press, Cambridge, MA.
Morel, T. 1975 Comprehensive design of axisymmetric wind tunnel contractions. Trans. ASMEI: J. Fluids Engng 97, 225–233.Google Scholar
Morton, B., Taylor, G. I. & Turner, J. S. 1956 Turbulent gravitational convection from maintained and instantaneous sources. Proc. R. Soc. 243, 1–23.Google Scholar
Panchapakesan, N. R. 1990 Turbulence measurements in axisymmetric jets of air and helium. PhD dissertation, Cornell University, Ithaca, NY.
Panchapakesan, N. R. & Lumley, J. L. 1993 Turbulence measurements in axisymmetric jets of air and helium. Part 1. Air jet. J. Fluid Mech. 246, 197–223.Google Scholar
Peng, D. 1985 Hot wire measurements in a momentum conserving axisymmetric jet MS Thesis, University at Buffalo, SUNY
Reichardt, H. 1941 Gesetzmassjkeiter der freien Turbulenz. Z. angew. Math. Mech. 36, 526–529.Google Scholar
Ricou, F. P. & Spalding, D. B. 1961 Measurements of entrainment by axisymmetric jets. J. Fluid Mech. 11, 21–32.Google Scholar
Rodi, W. 1975a A review of experimental data of uniform density free turbulent boundary layers. In Studies in Convection (ed. B. E. Launder), pp. 79–165. Academic.
Rodi, W. 1975b New method of analyzing hot-wire signals in highly turbulent flow and its evaluation in round jets. Disa Info. 17, 9–18.Google Scholar
Schneider, W. 1985 Decay of momentum flux in submerged jets. J. Fluid Mech. 154, 91–110.Google Scholar
Seif, A. A. 1981 Higher order closure model for turbulent jets. PhD dissertation, University at Buffalo, SUNY.
Taulbee, D. B. 1989 Engineering turbulence models. A state-of-the-art review. Advances in Turbulence (ed. W. K. George & R. E. A. Arndt), pp. 10.5.1–10.5.6. Hemisphere.
Taulbee, D. B., Hussein, H. J. & Capp, S. P. 1987 The round jet experiment and inferences on turbulence modelling. Proc. of 6th Symp. on Turbulent Shear Flows, Toulouse, France.
Tennekes, H. & Lumley, J. L. 1972 A First Course in Turbulence. MIT Press, Cambridge, MA.
Tollmien, W. 1926 Berechnung Turbulenter Ausbreitunsvorgange. Z. angew. Math. Mech. 6, 468–478.Google Scholar
Townsend, A. A. 1976 The Structure of Turbulent Shear Flows, 2nd edn. Cambridge University Press.
Tutu, N. & Chevray, R. 1975 Cross-wire anemometry in high intensity turbulence. J. Fluid Mech. 71, 785–800.Google Scholar
Wygnanski, I. & Fiedler, H. E. 1969 Some measurements in the self-preserving jet. J. Fluid Mech. 38, 577–612.Google Scholar