Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-27T14:37:47.362Z Has data issue: false hasContentIssue false
  • English
  • Français

Turbulence measurements in axisymmetric jets of air and helium. Part 1. Air jet

Published online by Cambridge University Press:  26 April 2006

N. R. Panchapakesan  and
J. L. Lumley
N. R. Panchapakesan
Affiliation:
Sibley School of Mechanical and Aerospace Engineering, Cornell University. Ithaca, NY 14850, USA
J. L. Lumley
Affiliation:
Sibley School of Mechanical and Aerospace Engineering, Cornell University. Ithaca, NY 14850, USA
Get access Rights & Permissions [Opens in a new window]

Abstract

A turbulent round jet of air discharging into quiescent air was studied experimentally. Some × -wire hot-wire probes mounted on a moving shuttle were used to eliminate rectification errors due to flow reversals in the intermittent region of the jet. Moments of velocity fluctuations up to fourth order were measured to characterize turbulent transport in the jet and to evaluate current models for triple moments that occur in the Reynolds stress equations. Fourth moments were very well described in terms of second moments by the quasi-Gaussian approximation across the entire jet including the intermittent region. Profiles of third moments were found to be significantly different from earlier measurements: 〈uv2〉, 〈uw2〉 and 〈u2v〉 are found to be negative near the axis of the jet. The Basic triple moment model that included turbulent production and models for the dissipation and the return-to-isotropy part of the pressure correlations was found to be unsatisfactory. When mean-strain production and a model for rapid pressure correlations were also included, predictions were satisfactory in the fully turbulent region. The consistency of the measurements with the equations of motion was assessed: momentum flux across the jet was found to be within ±5% of the nozzle input and the integral of radial diffusive flux of turbulent kinetic energy across the jet calculated from the measured third moments was found to be close to zero.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 246 , January 1993 , pp. 197 - 223
Copyright
© 1993 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

Browne, L. W. B., Antonia, R. A. & Chua, L. P. 1989 Calibration of × -probes for turbulent flow measurements. Expts Fluids 7, 201– 208.Google Scholar
Capp, S. P, 1983 Experimental investigation of turbulent axisymmetric jet. PhD dissertation, University at Buffalo, SUNY.
Capp, S. P., Hussein, H. J. & George, W. K. 1990 Velocity measurements in a high Reynolds number, momentum-conserving, axisymmetric, turbulent jet. Tech. Rep. 123. Turbulence Research Laboratory, University at Buffalo, SUNY (referred to herein as CHG).
Chen, J. 1985 Second-order modeling of turbulent reacting flows with intermittency and conditional averaging. PhD dissertation, Cornell University, Ithaca.
Dekeyser, I. & Launder, B. E. 1983 A comparison of triple-moment temperature-velocity correlations in the asymmetric heated jet with alternative closure models. In Turbulent Shear Flows 4 (ed. L. J. S. Bradbury et al.). Springer.
Duncan, B. S., Lumley, J. L., Shih, T. H. & To, W. M. 1992 A new model for the turbulent dissipation. In Proc, Intl Conf. of Fluid Mechanics and Theoretical Physics. Beijing, PRC. Chinese Society for Theoretical and Applied Mechanics. (Also Report No. FDA-92–08, Sibley School of Mechanical and Aerospace Engineering. Ithaca, NY: Cornell.
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
Gouldin, F. C., Schefer, R. W., Johnson, S. C. & Kollmann, W. 1986 Nonreacting turbulent mixing flows. Prog. Energy Combust. Sci. 12, 257– 303.Google Scholar
Hussein, H. J. 1988 Measurements of small scale turbulence in an axisymmetric jet using moving hot wires. PhD dissertation, University at Buffalo, SUNY.
Hussein, H. J. & George, W. K. 1990 Locally axisymmetric turbulence. Tech. Rep. 122. Turbulence Research Laboratory, University at Buffalo, SUNY.
Lueptow, R. M., Breuer, K. S. & Haritonidis, J. H. 1988 Computer-aided calibration of × -probes using a look-up table. Exps Fluids 6, 115– 118.Google Scholar
Lumley, J. L. 1978 Computational modelling of turbulent flows. Adv. Appl Mech. 18, 123– 176.Google Scholar
Lumley, J. L. 1981 Parametrization of turbulent transport in swirling flows. FDA Rep. 81–02. Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca.
Panchapakesan, N. R. & Lumley, J. L. 1993 Turbulence measurements in axisymmetric jets of air and helium. Part 2. Helium jet. J. Fluid Mech. 246, 225– 247.Google Scholar
Ricou, F. P. & Spalding, D. B. 1961 Measurements of entrapment by axisymmetrical turbulent jets. J. Fluid Mech. 11, 21– 32.Google Scholar
Rodi, W. 1975a A new method of analyzing hot-wire signals in highly turbulent flow and its evaluation in a round jet. DISA Information 17, Feb. 1975.
Rodi, W. 1975b A review of experimental data of uniform density free turbulent boundary layers. In Studies in Convection, Vol. 1 (ed. B. E. Launder). Academic.
Seif, A. A. 1981 Higher order closure model for turbulent jets, PhD Dissertation, University at Buffalo, SUNY.
Taulbee, D. B. 1988 Engineering turbulence models. In Advances in Turbulence (ed. W. K. George & R. E. A. Arndt). Hemisphere.
Taulbee, D.B.. Hussein, H. & Capp, S, 1987 The round jet: experiment and inferences on turbulence modeling. In Sixth Symp. on Turbulent Shear Flows, Toulouse France. Paper 10–5–1.
Tennekes, H. & Lumley, J. L. 1972 A First Course in Turbulence. MIT Press.
Wygnanski, I, & Fiedler, H. 1969 Some measurements in the self-preserving jet. J. Fluid Mech 38, 577– 612 (referred to herein as W&F).Google Scholar