Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-26T21:49:02.402Z Has data issue: false hasContentIssue false
  • English
  • Français

Reynolds-stress and dissipation-rate budgets in a turbulent channel flow

Published online by Cambridge University Press:  21 April 2006

N. N. Mansour ,
J. Kim  and
P. Moin
N. N. Mansour
Affiliation:
NASA Ames Research Center, Moffett Field, CA 94035, USA
J. Kim
Affiliation:
NASA Ames Research Center, Moffett Field, CA 94035, USA
P. Moin
Affiliation:
NASA Ames Research Center, Moffett Field, CA 94035, USA
Get access Rights & Permissions [Opens in a new window]

Abstract

The Budgets For The Reynolds Stresses And For The Dissipation Rate Of The Turbulence Kinetic Energy Are Computed Using Direct Simulation Data Of A Turbulent Channel Flow. The Budget Data Reveal That All The Terms In The Budget Become Important Close To The Wall. For Inhomogeneous Pressure Boundary Conditions, The Pressure—Strain Term Is Split Into A Return Term, A Rapid Term And A Stokes Term. The Stokes Term Is Important Close To The Wall. The Rapid And Return Terms Play Different Roles Depending On The Component Of The Term. A Split Of The Velocity Pressure-Gradient Term Into A Redistributive Term And A Diffusion Term Is Proposed, Which Should Be Simpler To Model. The Budget Data Are Used To Test Existing Closure Models For The Pressure—Strain Term, The Dissipation Rate, And The Transport Rate. In General, Further Work Is Needed To Improve the models.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 194 , September 1988 , pp. 15 - 44
Copyright
© 1988 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

Champagne, F. H., Harris, Y. G. & Corrsin, S. 1970 Experiments on nearly homogeneous shear flow. J. Fluid Mech. 41, 81–139.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
Chou, P. Y. 1945a On velocity correlations and the solutions of the equations of turbulent fluctuations. Q. Appl. Maths 3, 38–54.Google Scholar
Chou, P. Y. 1945b Pressure flow of a turbulent fluid between parallel plates. Q. Appl. Maths 3, 198–209.Google Scholar
Daly, B. J. & Harlow, F. H. 1970 Transport equations in turbulence. Phys. Fluids 13, 2634–2649.Google Scholar
Davydov, B. I. 1959 On the statistical dynamics of an incompressible turbulent fluid. Dokl. Akad. Nauk SSSR 127, 768–770 (Trans. in Soviet Physics—Doklady 4, 769–772, 1960).Google Scholar
Davydov, B. I. 1961 On statistical dynamics of an incompressible turbulent fluid. Dokl. Akad. Nauk SSSR 136, 47–50 (Trans, in Soviet Physics—Doklady 6, 10–12. 1961).Google Scholar
Hanjalić, K. & Launder, B. E. 1972 A Reynolds stress model of turbulence and its application to thin shear flows. J. Fluid Mech. 52, 609–638.Google Scholar
Hanjalić, K. & Launder, B. E. 1976 Contribution towards a Reynolds-stress closure for low-Reynolds-number turbulence. J. Fluid Mech. 74, 593–610.Google Scholar
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
Kolmogorov, A. N. 1942 Equation of turbulent motion of an incompressible fluid. Izv. Akad. Nauk SSSR, Ser. Fiz. 6, 56–58.Google Scholar
Launder, B. E., Reece, G. J. & Rodi, W. 1975 Progress in the development of a Reynolds-stress turbulence closure. J. Fluid Mech. 68, 537–566.Google Scholar
Launder, B. E. & Reynolds, W. C. 1983 Asymptotic near-wall stress dissipation rates in a turbulent flow. Phys. Fluids 26, 1157–1158.Google Scholar
Lee, M. J. & Reynolds, W. C. 1985 Numerical experiments on the structure of homogeneous turbulence. Rep. no. TF-24, Department of Mechanical Engineering, Stanford University, Stanford, CA.
Lumley, J. L. 1975 Pressure strain correlation. Phys. Fluids 18, 750.Google Scholar
Lumley, J. L. 1978 Computational modelling of turbulent flows. Adv. Appl. Mech. 18, 123–176.Google Scholar
Lumley, J. L. & Khajeh-Nouri, B. 1974 Computational modelling of turbulent transport. In Turbulent Diffusion in Environmental Pollution (ed. F. N. Frenkiel & R. E. Munn), Advances in Geophysics, vol. 18A, pp. 169–192. Academic.
Lumley, J. L. & Newman, G. R. 1977 The return to isotropy of homogeneous turbulence. J. Fluid Mech. 82, 161–178.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 Statistical Fluid Mechanics: Mechanics of Turbulence, vol. 2 (ed. J. L. Lumley), MIT Press. Cambridge, MA.
Moser, R. D. & Moin, P. 1984 Direct numerical simulation of curved turbulent channel flow. NASA TM 85974. Ames Research Center, Moffett Field, CA.
Rogallo, R. S. 1981 Numerical experiments in homogeneous turbulence. NASA TM 81315. Ames Research Center. Moffett Field, CA.
Rotta, J. 1951a Statistical theory of inhomogeneous turbulence. Part I. Zeithschrift für Physik 129, 257–572.Google Scholar
Rotta, J. 1951a Statistical theory of inhomogeneous turbulence. Part II. Zeithschrift für Physik 131, 51–77.Google Scholar
Shih, T-H. & Lumley, J. L. 1986 Second-order modeling of near-wall turbulence. Phys. Fluids 29, 971–975.Google Scholar
Spalart, P. R. 1986 Numerical study of sink-flow boundary layers. J. Fluid Mech. 172, 307–328.Google Scholar
Spalart, P. R. 1988 Direct simulation of a turbulent boundary layer up to Rθ = 1400. J. Fluid Mech. 187, 61–98.Google Scholar
Tennekes, H. & Lumley, J. L. 1972 A First Course in Turbulence. MIT Press. Cambridge, MA.
Townsend, A. A. 1976 The Structure of Turbulent Shear Flow. Cambridge University Press.