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An investigation of the growth of turbulence in a uniform-mean-shear flow

Published online by Cambridge University Press:  21 April 2006

J. J. Rohr
Affiliation:
Institute for Pure and Applied Physical Sciences and Department of Applied Mechanics and Engineering Sciences, University of California, San Diego, La Jolla, CA 92093, USA Present address: NOSC, Code 634 San Diego, CA 92152, USA.
E. C. Itsweire
Affiliation:
Institute for Pure and Applied Physical Sciences and Department of Applied Mechanics and Engineering Sciences, University of California, San Diego, La Jolla, CA 92093, USA Present address: Chesapeake Bay Institute, Johns Hopkins University, Baltimore, MD 21211, USA.
K. N. Helland
Affiliation:
Institute for Pure and Applied Physical Sciences and Department of Applied Mechanics and Engineering Sciences, University of California, San Diego, La Jolla, CA 92093, USA
C. W. Van Atta
Affiliation:
Institute for Pure and Applied Physical Sciences and Department of Applied Mechanics and Engineering Sciences, University of California, San Diego, La Jolla, CA 92093, USA

Abstract

A uniform-mean-gradient shear flow was produced using a ten-layer closed-loop water channel, providing long enough dimensionless flow development times (τ = (x/Ū) (∂ Ū/∂z)) for the turbulence to grow. The rate of growth of the turbulence compares well with similar measurements in wind-tunnel-generated uniform shear flows for which the mean shears and centreline velocities are larger by an order of magnitude. Preliminary investigations were undertaken to study the growth of the turbulent intensity as functions of the mean shear, centreline velocity, and initial disturbance lengthscales. Initial disturbance lengthscales were varied by using grids of different mesh sizes.

Turbulent intensities were found to increase nearly linearly with τ. Differences in grid mesh size produce different offsets in the turbulent intensity level, with a larger grid mesh producing a higher positive offset. This offset persists throughout the growth of the turbulent intensity. These observations provide valuable insight in interpreting previous wind-tunnel measurements, in particular the high-shear experiments of Karnik & Tavoularis (1983). Comparison with the theoretical predictions of Tavoularis (1985) allows for an improved universal characterization of evolving turbulence in a uniform mean shear.

Type
Research Article
Copyright
© 1988 Cambridge University Press

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References

Batchelor, G. K. & Townsend, A. A. 1949 Decay of isotropic turbulence in the initial period. Proc. R. Soc. Lond. A 193, 539.Google Scholar
Castaldini, M., Helland, K. N. & Malvestuto, V. 1980 Hot-film anemometry in aqueous NaCl solutions. Intl J. Heat Mass Transfer 24, 133.Google Scholar
Champagne, F. H., Harris, V. G. & Corrsin, S. 1970 Experiments on nearly homogeneous turbulent shear flow. J. Fluid Mech. 41, 81.Google Scholar
Corrsin, S. 1963 Turbulence: experimental methods. In Handbuch der Physik VIII/2 (ed. S. Flugge & C. Truesdell), p. 524. Springer.
Grant, H. L., Stewart, R. W. & Moilliet, A. 1962 Turbulence spectra from a tidal channel. J. Fluid Mech. 12, 241.Google Scholar
Harris, V. G., Graham, A. A. & Corrsin, S. 1977 Further experiments in nearly homogeneous turbulent shear flow. J. Fluid Mech. 81, 657.Google Scholar
Hasen, E. M. 1967 Non-linear theory of turbulence onset in a shear flow. J. Fluid Mech. 29, 721.Google Scholar
Helland, K. N., Lii, K. S. & Rosenblatt, M. 1977 Bispectra of atmospheric and wind tunnel turbulence. In Proc. Symp. on Applications of Statistics (ed. P. R. Krishnaiah), vol. 2, p. 123. Academic.
Hinze, J. O. 1975 Turbulence, 2nd edn. McGraw-Hill.
Von Kármán, T. 1937 The fundamentals of the statistical theory of turbulence. J. Aero. Sci. 4, 131.Google Scholar
Karnik, V. & Tavoularis, S. 1983 The asymptotic development of nearly homogeneous turbulent shear flow. Turbulent Shear Flows 4 (ed. L. J. S. Bradbury, F. Durst, B. E. Launder, F. W. Schmidt & J. H. Whitelaw), p. 1418. Springer.
Mulhearn, P. J. & Luxton, R. E. 1975 The development of turbulence structure in a uniform shear flow. J. Fluid Mech. 68, 577.Google Scholar
Owen, D. R. & Zienkiewicz, H. K. 1957 The production of uniform mean shear flow in a wind tunnel. J. Fluid Mech. 2, 521.Google Scholar
Phillips, O. M. 1966 Dynamics of the Upper Ocean. Cambridge University Press.
Prandtl, L 1925 Z. angew. Math. Mech. 5, 136.
Rose, W. G. 1966 Results of an attempt to generate a homogeneous turbulent shear flow. J. Fluid Mech. 25, 97.Google Scholar
Rose, W. G. 1970 Interaction of grid turbulence with a uniform mean shear. J. Fluid Mech. 44, 767.Google Scholar
Sreenivasan, K. R., Tavoularis, S. & Corrsin, S. 1982 A test of gradient transport and its generalizations. Turbulent Shear Flows 3 (ed. L. J. S. Bradbury, F. Durst, B. E. Launder, F. W. Schmidt & J. H. Whitelaw), p. 96. Springer.
Stillinger, D. C. 1983 The interpretation of statistics from hot-film anemometers used in salt water flows of variable temperature and density. J. Phys. E: Sci. Instrum. 15, 1322.Google Scholar
Stillinger, D. C., Head, M. J., Helland, K. N. & Van Atta, C. W. 1983 A closed loop gravity-driven water channel for density-stratified shear flows. J. Fluid Mech. 131, 73.Google Scholar
Tavoularis, S. 1985 Asymptotic laws for transversely homogeneous turbulent shear flows. Phys. Fluids 28, 999.Google Scholar
Tavoularis, S. & Corrsin, S. 1981 Experiments in nearly homogeneous turbulent shear flows with a uniform mean temperature gradient, Part I. J. Fluid Mech. 104, 311.Google Scholar
Tennekes, H. & Lumley, J. L. 1972 A First Course in Turbulence. Massachusetts Institute of Technology Press.
Webster, C. G. A. 1964 An experimental study of turbulence in a density stratified shear flow. J. Fluid Mech. 19, 221.Google Scholar