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Turbulent convective velocities (broadband and wavenumber dependent) in a plane jet

Published online by Cambridge University Press:  20 April 2006

V. W. Goldschmidt ,
M. F. Young  and
E. S. Ott
V. W. Goldschmidt
Affiliation:
Ray W. Herrick Laboratories, Purdue University School of Mechanical Engineering, West Lafayette, Indiana 47907, USA
M. F. Young
Affiliation:
Ray W. Herrick Laboratories, Purdue University School of Mechanical Engineering, West Lafayette, Indiana 47907, USA
E. S. Ott
Affiliation:
Ray W. Herrick Laboratories, Purdue University School of Mechanical Engineering, West Lafayette, Indiana 47907, USA
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Abstract

An investigation into the magnitude and direction of the convective velocity in a plane air jet was performed. Convective velocities were obtained from cross-correlation measurements. They are defined as the ratio of the spacing between two hot-wire probes and the time delay between their signals to reach maximum correlation. These velocities were larger in magnitude than the local mean velocities for lateral distances greater than the half-width of the jet. Frequency analysis of the convective velocity indicates that the large-scale eddies move slower than the mean flow while the small scales move faster. Based on the convective velocity vector, broadband ‘convection lines’ were defined and found to point outward with respect to the streamlines for all values of y/b [Gt ] 0·5. Likewise, frequency investigation indicates that ‘convection lines’ point outward for all y/b [Lt ] 1·3 and then inward for larger values of y/b.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 105 , April 1981 , pp. 327 - 345
Copyright
© 1981 Cambridge University Press

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References

Antonia, R. A., Chambers, A. J., Fricke, G. A. & Van Atta, C. W. 1979 Temperature ramps in the atmospheric surface layer. J. Atmos. Sci. 36, 99–108.Google Scholar
Antonia, R. A., Phan-Thien, N. & Chambers, A. J. 1979 Taylor's hypothesis and the probability density functions of temporal velocity and temperature derivatives in a turbulent flow. Univ. of Newcastle, TN FN 34, Newcastle, Australia.
Baldwin, L. V. & Walsh, T. J. 1961 Turbulent diffusion in the core of fully developed pipe flow. A.I.Ch.E. Journal, 7, 30.Google Scholar
Batt, R. G. 1977 Turbulent mixing of a passive and chemically reacting species in a low-speed shear layer. J. Fluid Mech. 82, 53–95.Google Scholar
Bechert, D. & Pfizenmaier, E. R. 1975 On wavelike perturbations in a free jet travelling faster than the mean flow in the jet. J. Fluid Mech. 72, 341–352.Google Scholar
Blackwelder, R. 1977 On the role of phase information in conditioned sampling. Phys. Fluids 20, 5232–5242.Google Scholar
Bradshaw, P., Ferriss, D. H. & Atwell, N. P. 1967 Calculation of boundary-layer development using the turbulent energy equation. J. Fluid Mech. 28, 593–616.Google Scholar
Brunn, H. H. 1977 A time-domain analysis of the large-scale flow structure in a circular jet. Part 1. Moderate Reynolds number. J. Fluid Mech. 83, 641–671.Google Scholar
Bull, M. K. 1967 Wall pressure fluctuations associated with subsonic turbulent boundary flow. J. Fluid Mech. 28, 719–754.Google Scholar
Bullock, K. J., Cooper, R. E. & Abernathy, F. H. 1978 Structural similarity in radial correlations and spectra of longitudinal velocity fluctuations in pipe flow. J. Fluid Mech. 88, 585–608.Google Scholar
Champagne, F. H., Harris, V. G. & Corrsin, S. 1970 Experiments on nearly homogeneous turbulent shear flow. J. Fluid Mech. 41, 81–139.Google Scholar
Chanaud, R. C. & Hayden, R. E. 1970 Edge noise caused by two turbulent wall jets. J. Acoust. Soc. Am. 48, 125.Google Scholar
Comte-Bellot, G. & Corrsin, S. 1971 Single Eulerian time correlation of full and narrow-band velocity signals in grid-generated ‘isotropic’ turbulence. J. Fluid Mech. 48, 273–337.Google Scholar
Crocos, G. M. 1962 Pressure fluctuations in shear flows. Univ. California, Inst. Engng Res. Rep. Ser. 183, no. 2.Google Scholar
Davies, P. O. A. L., Fisher, M. J. & Barratt, M. J. 1963 The characteristic of the turbulence in the mixing region of a round jet. J. Fluid Mech. 15, 337–367.Google Scholar
Davis, M. R. 1975 Intensity, scale and convection of turbulent density fluctuations. J. Fluid Mech. 70, 463–479.Google Scholar
Demetriades, A. 1976 Turbulence correlations in a compressible wake. J. Fluid Mech. 74, 251–267.Google Scholar
Dinkelacker, A., Hessel, M., Meier, G. E. A. & Schewe, G. 1977 Investigation of pressure fluctuations beneath a turbulent boundary layer by means of an optical method. Phys. Fluids 20, 5216–5224.Google Scholar
Favre, A. J., Gaviglio, J. & Dumas, R. 1967 Structure of velocity space-time correlations in a boundary. Phys. Fluids Suppl. 10, 5138–5145.Google Scholar
Favre, A. J. 1965 Review of space-time correlations in turbulent fluids. Trans. A.S.M.E. E, J. Appl. Mech. 32, 241–257.Google Scholar
Fisher, J. J. & Davies, P. O. A. L. 1964 Correlation measurements in a non-frozen pattern of turbulence. J. Fluid Mech. 18, 99–116.Google Scholar
Frenkiel, F. N. & Klebanoff, P. 1966 Space-time correlations in turbulence. Dynamics of Fluids and Plasmas (ed. S. I. Pai), pp. 257–274. Academic.
Goldschmidt, V. W. & Young, M. F. 1975 Energy spectrum and turbulent scales in a plane air jet. Proc. 4th Biennial Symp. on Turbulence in Liquids (ed. J. L. Zakin & G. K. Patterson), pp. 39–45. N. Y.: Science.
Gutmark, E. & Wygnanski, I. 1976 The planar turbulent jet. J. Fluid Mech. 73, 465–495.Google Scholar
Hussain, A. K. M. F. & Zaman, K. B. M. 1978 The free shear layer tone phenomenon and probe interference. J. Fluid Mech. 87, 349–383.Google Scholar
Heidrick, T., Azad, R. S. & Banerjee, S. 1971 Phase velocities and angle of inclination for frequency-components in fully developed turbulent flow through pipes. Symp. on Turbulence in Liquids, Univ. Missouri-Rolla.Google Scholar
Heidrick, T. R., Banerjee, S. & Azad, R. S. 1977 Experiments on the structure of turbulence on fully developed pipe flow: interpretation of the measurements by a wave model. J. Fluid Mech. 81, 137–154.Google Scholar
Heskestad, G. 1965 A generalized Taylor hypothesis with application for higher Reynolds number turbulent shear flow. Trans. A.S.M.E. E, J. Appl. Mech. 32, 735–739.Google Scholar
Jenkins, P. E. & Goldschmidt, V. W. 1976 Conditional (point averaged) temperature and velocities on a heated turbulent plane jet. Phys. Fluids 19, 613–617.Google Scholar
Jones, B. G., Planchon, H. P. & Hammersley, R. J. 1973 Turbulent correlation measurements in a two-stream mixing layer. A.I.A.A. J. 11, 1146–1150.Google Scholar
Ko, N. W. M. & Davies, P. O. A. L. 1971 The near field within the potential core of subsonic cold jets. J. Fluid Mech. 50, 49–78.Google Scholar
Kovasznay, L. S. G., Kibens, V. & Blackwelder, R. F. 1970 Large-scale motion in the intermittent region of a turbulent boundary layer. J. Fluid Mech. 41, 283–325.Google Scholar
Lau, J. C. & Fisher, M. J. 1975 The vortex-street structure of turbulent jets. Part 1. J. Fluid Mech. 67, 299–337.Google Scholar
Lin, C. C. 1953 On Taylor's hypothesis and the acceleration terms in the Navier-Stokes equation. Quart. Appl. Math. 10, 295–306.Google Scholar
Lumley, J. L. 1965 Interpretation of time spectra measured in high-intensity shear flows. Phys. Fluids 8, 1056–1062.Google Scholar
McConachie, P. J., Bullock, K. J. & Kronauer, R. E. 1977 Distribution of convection velocities in turbulent pipe flow. Univ. Queensland, Res. Rep. no. 2/77. (See also K. J. Bullock et al. 1978.)Google Scholar
Miksad, R. W. 1972 Experiments on the nonlinear stages of free-shear layer transition. J. Fluid Mech. 56, 695–719.Google Scholar
Oswald, L. & Kibens, V. 1971 Turbulent flow in the wake of a disk. Univ. Michigan, College Engng, Tech. Rep. 002820, pp. 1–15.Google Scholar
Ott, E. S. 1972 Convective velocities in a turbulent plane jet. Master's thesis, Purdue University.
Rajagopolan, S. & Antonia, R. A. 1980 Interaction between large and small scale motions in a two-dimensional turbulent duct flow. Phys. Fluids 23, 1101–1110.Google Scholar
Robins, A. G. 1973 Ph.D. thesis, London University.
Rotta, J. C. 1962 Turbulent boundary layers in incompressible flow. Progress in Aeronautical Sciences, Vol. 2. Boundary Layer Problems, pp. 1–221. Pergamon.
Schlichting, W. 1955 Boundary Layer Theory. McGraw-Hill.
Sepri, P. 1976 Two-point turbulence measurements downstream of a heated grid. Phys. Fluids 19, 1876–1884.Google Scholar
Sternberg, J. 1967 On the interpretation of space-time correlation measurements in shear flow. Phys. Fluids Suppl. 10, 5146–5152.Google Scholar
Taylor, G. I. 1935 Statistical theory of turbulence. Part 1. Proc. Roy. Soc. A 151, 421–444.Google Scholar
Willmarth, W. W. 1959 Space-time correlations and spectra of wall pressure in a turbulent boundary layer. N.A.S.A. Memo 3-17-59 W.Google Scholar
Willmarth, W. W. & Wooldridge, C. E. 1962 Measurements of the fluctuating pressure at the wall beneath a thick turbulent boundary layer. J. Fluid Mech. 11, 187–210.Google Scholar
Wills, J. A. B. 1964 On convection velocities in turbulent shear flows. J. Fluid Mech. 20, 417–432.Google Scholar
Wilson, L. W. & Damkevala, R. J. 1970 Statistical properties of turbulent density fluctuations. J. Fluid Mech. 42, 291–303.Google Scholar
Wooldridge, L. E., Wooten, D. C. & Amaro, A. J. 1972 The structure of jet turbulence producing jet noise. A.I.A.A. J. 10, 72–158.Google Scholar
Wooten, D. C., Wooldridge, C. E., Amaro, A. J. & Plapp, G. R. 1971 A study of the structure of jet turbulence producing jet noise. N.A.S.A. CR-1836.Google Scholar
Wygnanski, I. & Fiedler, H. 1969 Some measurements in the self-preserving jet. J. Fluid Mech. 38, 327–361.Google Scholar
Wygnanski, I. & Fiedler, H. 1970 The two dimensional mixing region. J. Fluid Mech. 41, 327–361.Google Scholar