Hostname: page-component-78c5997874-mlc7c Total loading time: 0 Render date: 2024-11-10T07:32:53.157Z Has data issue: false hasContentIssue false
  • English
  • Français

Low-Reynolds-number effects on near-wall turbulence

Published online by Cambridge University Press:  26 April 2006

R. A. Antonia  and
J. Kim
R. A. Antonia
Affiliation:
Department of Mechanical Engineering, University of Newcastle, NSW 2308, Australia
J. Kim
Affiliation:
Mechanical, Aerospace and Nuclear Engineering Department, University of California, Los Angeles, CA 90024–1597, USA
Get access Rights & Permissions [Opens in a new window]

Abstract

Direct numerical simulations of a fully developed turbulent channel flow for two relatively small values of the Reynolds number are used to examine its influence on various turbulence quantities in the near-wall region. The limiting wall behaviour of these quantities indicates important increases in the r.m.s. value of the wall pressure fluctuations and its derivatives, the r.m.s. streamwise vorticity and in the average energy dissipation rate and the Reynolds shear stress. If the normalization is based on the wall shear stress and the kinematic viscosity, these changes are shown to be consistent with an increase in strength – but not the average diameter or average location – of the quasi-streamwise vortices in the buffer region. Evidence of this strengthening is provided by the increased sum of the stretching terms for the meansquare streamwise vorticity. It is also shown that a normalization based on Kolmogorov velocity and lengthscales, defined at the wall, is more appropriate in the near-wall region than scaling on the wall shear stress and kinematic viscosity.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 276 , 10 October 1994 , pp. 61 - 80
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

Antonia, R. A., Kim, J. & Browne, L. W. B. 1991 Some characteristics of small-scale turbulence in a turbulent duct flow. J. Fluid Mech. 233, 369–388.Google Scholar
Antonia, R. A., Teitel, M., Kim, J. & Browne, L. W. B. 1992 Low Reynolds number effects in a fully developed turbulent channel flow. J. Fluid Mech. 236, 579–605.Google Scholar
Balint, J.-L., Wallace, J. M. & Vukoslavcevic, P. 1991 The velocity and vorticity vector fields of a turbulent boundary layer. Part 2. Statistical properties. J. Fluid Mech. 228, 53–86.Google Scholar
Bradshaw, P. 1967 ‘Inactive’ motion and pressure fluctuations in turbulent boundary layers. J. Fluid Mech. 30, 241–258.Google Scholar
Chapman, D. R. & Kuhn, G. D. 1986 The limiting behaviour of turbulence near a wall. J. Fluid Mech. 170, 265–292.Google Scholar
Corrsin, S. 1953 Remarks on turbulent heat transfer: an account of some features of the phenomenon in fully turbulent regions. Proc. Iowa Therodynamics Symp., pp. 5–30.
Hanjalic, K. & Launder, B. E. 1976 Contribution towards a Reynolds-stress closure for low-Reynolds-number turbulence. J. Fluid Mech. 74, 593–610.Google Scholar
Jimenez, J. 1993 Small scale vortices in turbulent flows. In New Approaches and Concepts in Turbulence (ed. T. Dracos & A. Tsinober), pp. 95–110. Basel: Birkhäuser.
Kim, J. 1989 On the structure of pressure fluctuations in simulated turbulent channel flow. J. Fluid Mech. 205, 421–451.Google Scholar
Kim, J. & Hussain, F. 1992 Propagation velocity and space–time correlation of perturbations in turbulent channel flow. NASA TM 103932.
Kim, J., Moin, P. & Moser, R. 1987 Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech. 177, 133–166.Google Scholar
Mansour, N. N. 1991 The use of direct numerical simulation data in turbulence modelling. AIAA Paper 91-0221.
Mansour, N. N., Kim, J. & Moin, P. 1988 Reynolds-stress and dissipation-rate budgets in a turbulent channel flow. J. Fluid Mech. 194, 15–44.Google Scholar
Mansour, N. N., Kim, J. & Moin, P. 1989 Near-wall k — e turbulence modeling. AIAA J. 27, 1068–1073.Google Scholar
Moin, P. & Kim, J. 1982 Numerical investigation of turbulent channel flow. J. Fluid Mech. 118, 341–377.Google Scholar
Monin, A. S. & Yaglom, A. M. 1975 In Statistical Fluid Mechanics: Mechanics of Turbulence (ed. J. L. Lumley), vol. 2. MIT Press.
Robinson, S. K. 1990 A review of vortex structures and associated coherent motions in turbulent boundary layers. In Structure of Turbulence and Drag Reduction (ed. A. Gyr), pp. 23–50. Springer.
Robinson, S. K. 1991a Coherent motions in the turbulent boundary layer. Ann. Rev. Fluid Mech. 23, 601–609.Google Scholar
Robinson, S. K. 1991b The kinematics of turbulent boundary layer structure. NASA TM 103859.
Rodi, W. & Mansour, N. N. 1993 Low Reynolds number k — ε modelling with the aid of direct simulation data. J. Fluid Mech. 250, 509–529.Google Scholar
So, R. M. C., Lai, Y. G., Zhang, H. S. & Hwang, B. C. 1991a Second-order near-wall turbulence closures: a review. AIAA J. 29, 1819–1835.Google Scholar
So, R. M. C., Zhang, H. S. & Speziale, C. G. 1991b Near-wall modelling of the dissipation-rate equation. AIAA. J. 29, 2069–2076.Google Scholar
Spalart, P. R. 1988 Direct simulation of a turbulent boundary layer up to R0 = 1410. J. Fluid Mech. 187, 61–98.Google Scholar
Tennekes, H. & Lumley, J. L. 1972 A First Course in Turbulence. MIT Press.
Townsend, A. A. 1956 The Structure of Turbulent Shear Flow. Cambridge University Press.
Townsend, A. A. 1961 Equilibrium layers and wall turbulence. J. Fluid Mech. 11, 97–120.Google Scholar
Wei, T. & Willmarth, W. W. 1989 Reynolds number effects on the structure of a turbulent channel flow. J. Fluid Mech. 204, 57–95.Google Scholar