Hostname: page-component-8448b6f56d-dnltx Total loading time: 0 Render date: 2024-04-23T15:36:59.643Z Has data issue: false hasContentIssue false
  • English
  • Français

A structural turbulence model for triple products of velocity and scalar

Published online by Cambridge University Press:  26 April 2006

Y. Nagano  and
M. Tagawa
Y. Nagano
Affiliation:
Department of Mechanical Engineering, Nagoya Institute of Technology, Gokiso-cho, Showa-ku, Nagoya 466, Japan
M. Tagawa
Affiliation:
Department of Mechanical Engineering, Nagoya Institute of Technology, Gokiso-cho, Showa-ku, Nagoya 466, Japan
Get access Rights & Permissions [Opens in a new window]

Abstract

The statistical characteristics of third-order moments (triple products) of velocity and scalar have been investigated from both experimental and theoretical points of view. The third-order moments have a highly intermittent nature and are dominated by coherent motions in shear-generated turbulence. Using a previously developed statistical method (Nagano & Tagawa 1988), the similarity between the Reynolds stress and scalar flux transport was analysed. On the basis of the experimental results, we have developed an entirely new approach to the modelling of triple products, and constructed a ‘structural’ turbulence model for triple velocity and scalar products. This model has a simple form and universal applicability, and its effectiveness has been tested by application to various types of flow.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 215 , June 1990 , pp. 639 - 657
Copyright
© 1990 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

Amano, R. S. & Chai, J. C. 1988 Transport models of the turbulent velocity-temperature products for computations of recirculating flows. Numer. Heat Transfer 14, 75–95.Google Scholar
Amanò, R. S., Goel, P. & Chai, J. C. 1988 Turbulence energy and diffusion transport of third-moments in a separating and reattaching flow. AIAA J. 26, 273–282.Google Scholar
André, J. C., De Moor, G., Lacarrère, P., Therry, G. & Vachat, R. du 1979 The clipping approximation and inhomogeneous turbulence simulations. In Turbulent Shear Flows 1 (ed. F. Durst et al.), pp. 307–318. Springer.
ANSI/ASME PTC 1985/1986 Measurement Uncertainty. New York: ASME.
Azad, R. S. & Ozimek, L. G. 1986 A comparison of analog and digital systems of measurements of turbulence parameters. In Proc. 10th Symp. on Turbulence, pp. 27.1–27.10. University of Missouri-Rolla.
Barlow, R. S. & Johnston, J. P. 1988 Structure of a turbulent boundary layer on a concave surface. J. Fluid Mech. 191, 137–176.Google Scholar
Bendat, J. S. & Piersol, A. G. 1971 Random Data: Analysis and Measurement Procedures. John Wiley & Sons.
Chandrsuda, C. & Bradshaw, P. 1981 Turbulence structure of a reattaching mixing layer. J. Fluid Mech. 110, 171–194.Google Scholar
Cormack, D. E., Leal, L. G. & Seinfeld, J. H. 1978 An evaluation of mean Reynolds stress turbulence models: The triple velocity correlation. Trans. ASME I:J. Fluids Engng 100, 47–54.Google Scholar
Daly, B. J. & Harlow, F. H. 1970 Transport equations in turbulence. Phys. Fluids 13, 2634–2649.Google Scholar
Deardorff, J. W. 1973 Three-dimensional numerical modeling of the planetary boundary layer. In Proc. Workshop on Micrometeorology, pp. 271–311. American Meteorological Society.
Deardorff, J. W. 1978 Closure of second- and third-moment rate equations for diffusion in homogeneous turbulence. Phys. Fluids 21, 525–530.Google Scholar
Dekeyser, I. & Launder, B. E. 1985 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.), pp. 102–117. Springer.
Donaldson, C. DuP., Sullivan, R. D. & Rosenbaum, H. 1972 A theoretical study of the generation of atmospheric-clear air turbulence. AIAA J. 10, 162–170.Google Scholar
Driver, D. M. & Seegmiller, H. L. 1985 Features of a reattaching turbulent shear layer in divergent channel flow. AIAA J. 23, 163–171.Google Scholar
Durst, F., Jovanovic, J. & Kanevce, Lj. 1987 Probability density distribution in turbulent wall boundary-layer flows. In Turbulent Shear Flows 5 (ed. F. Durst et al.), pp. 197–220. Springer.
Hanjalić, K. & Launder, B. E. 1972a Fully developed asymmetric flow in a plane channel. J. Fluid Mech. 51, 301–335.Google Scholar
Hanjalić, K. & Launder, B. E. 1972b A Reynolds stress model of turbulence and its application to thin shear flows. J. Fluid Mech. 52, 609–638.Google Scholar
Irwin, H. P. A. H. 1973 Measurements in a self-preserving plane wall jet in a positive pressure gradient. J. Fluid Mech. 61, 33–63.Google Scholar
Lee, M. J., Kim, J. & Moin, P. 1987 Turbulence structure at high shear rate. In Proc. 6th Symp. on Turbulent Shear Flows, pp. 22.6.1–22.6.6. Toulouse.
Lumley, J. L. 1978 Computational modeling of turbulent flows. In Advances in Applied Mechanics, vol. 18 (ed. C.-S. Yih), pp. 123–176. Academic.
Moin, P. 1990 Similarity of organized structures in turbulent shear flows. In Near-Wall Turbulence (ed. S. J. Kline & N. H. Afgan), pp. 2–6. Hemisphere.
Monin, A. S. & Yaglom, A. M. 1971 Statistical Fluid Mechanics, vol. 1, p. 233 MIT Press.
Müller, U. R. 1987 The structure of turbulence measured in a relaxing boundary layer. In Advances in Turbulence (ed. G. Comte-Bellot & J. Mathieu), pp. 568–576. Springer.
Mölis, J., Tsai, H. M. & Bradshaw, P. 1982 The structure of turbulent boundary layers at low Reynolds numbers. J. Fluid Mech. 122, 13–56.Google Scholar
Nagano, Y. & Hishida, M. 1990 Turbulent heat transfer associated with coherent structures near the wall. In Near-Wall Turbulence (ed. S. J. Kline & N. H. Afgan), pp. 568–581. Hemisphere.
Nagano, Y. & Tagawa, M. 1988 Statistical characteristics of wall turbulence with a passive scalar. J. Fluid Mech. 196, 157–185.Google Scholar
Nagano, Y. & Tagawa, M. 1990 Turbulence model for triple velocity and scalar correlations. In Turbulent Shear Flows, 7 (ed. F. Durst et al.). Springer (to be published).
Owen, R. G. 1973 An analytical turbulent transport model applied to non-isothermal fully-developed duct flows. Ph.D. Thesis, Pennsylvania State University.
Shizawa, T. & Honami, S. 1986 Experiments on turbulent boundary layers over a concave surface (2nd report, Response of turbulence to streamline curvature). Trans. JSME 52, 2794–2801.Google Scholar
Verriopoulos, C. A. 1983 Effects of convex surface curvature on heat transfer in turbulent flow. Ph.D. thesis, Imperial College.
Wygnanski, I. & Fiedler, H. E. 1970 The two-dimensional mixing region. J. Fluid Mech. 41, 327–361.Google Scholar
Wyngaard, J. C. & Coté, O. R. 1974 The evolution of a convective planetary boundary layer: a higher-order-closure model study. Boundary-Layer Met. 7, 289–308.Google Scholar
Zarić, Z. 1979 Statistical evidence on the phenomena in wall layers of turbulent flows. In Turbulent Forced Convection in Channels and Bundles, vol. 1 (ed. S. Kaka & D. B. Spalding), pp. 377–401. Hemisphere.