Hostname: page-component-8448b6f56d-tj2md Total loading time: 0 Render date: 2024-04-18T12:17:31.601Z Has data issue: false hasContentIssue false
  • English
  • Français

On the structure of pressure fluctuations in simulated turbulent channel flow

Published online by Cambridge University Press:  26 April 2006

John Kim
John Kim
Affiliation:
NASA Ames Research Center, Moffett Field, CA 94035, USA
Get access Rights & Permissions [Opens in a new window]

Abstract

Pressure fluctuations in a turbulent channel flow are investigated by analysing a database obtained from a direct numerical simulation. Detailed statistics associated with the pressure fluctuations are presented. Characteristics associated with the rapid (linear) and slow (nonlinear) pressure are discussed. It is found that the slow pressure fluctuations are larger than the rapid pressure fluctuations throughout the channel except very near the wall, where they are about the same magnitude. This is contrary to the common belief that the nonlinear source terms are negligible compared with the linear source terms. Probability density distributions, power spectra, and two-point correlations are examined to reveal the characteristics of the pressure fluctuations. The global dependence of the pressure fluctuations and pressure–strain correlations are also examined by evaluating the integral associated with Green-function representations of them. In the wall region where the pressure–strain terms are large, most contributions to the pressure–strain terms are from the wall region (i.e. local), whereas away from the wall where the pressure–strain terms are small, contributions are global. Structures of instantaneous pressure and pressure gradients at the wall and the corresponding vorticity field are examined.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 205 , August 1989 , pp. 421 - 451
Copyright
© 1989 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

Alfredsson, P. H., Johansson, A. V. & Kim, J. 1988 Turbulence production near walls: the role of flow structures with spanwise asymmetry. Proc. 1988 Summer School, CTR-S88. Center for Turbulence Research, NASA Ames Research Center.
Blake, W. K. 1970 Turbulent boundary layer wall-pressure fluctuations on smooth and rough walls. J. Fluid Mech. 44, 637.Google Scholar
Bradshaw, P. 1967 Inactive motion and pressure fluctuations in turbulent boundary layers. J. Fluid Mech. 30, 241.Google Scholar
Bull, M. K. 1967 Wall pressure fluctuations associated with subsonic turbulent boundary layer flow. J. Fluid Mech. 28, 719.Google Scholar
Corcos, G. M. 1964 The structure of the turbulent pressure field in boundary-layer flows. J. Fluid Mech. 18, 353.Google Scholar
Durbin, P. A. 1978 Rapid distortion theory of turbulent flows. Ph.D. Thesis, University of Cambridge.
Eckelmann, H. 1988 A review of knowledge on pressure fluctuations. Proc. Zoran Zaric Memorial International Seminar on Near-Wall Turbulence, May 16–20, 1988. Dubrovnik, Yugoslavia.
Hussain, A. K. M. F. & Kim, J. 1989 On the convection velocity of turbulent eddies. In preparation.
Kim, J. 1983 On the structure of wall-bounded turbulent flows. Phys. Fluids 26, 2088.Google Scholar
Kim, J., Moin, P. & Moser, R. D. 1987 Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech. 177, 133 (referred to as KMM).Google Scholar
Kraichnan, R. H. 1956 Pressure fluctuations in turbulent flow over a flat plate. J. Acoust. Soc. Am. 28, 378.Google Scholar
Lighthill, M. J. 1963 Boundary layer theory. In Laminar Boundary Layers (ed. Rosenhead). Oxford University Press.
Lilley, G. M. 1964 A review of pressure fluctuations in turbulent boundary layers at subsonic and supersonic speeds. Arch. Mech. Stosow. 16, 301.Google Scholar
Luchik, T. S. & Tiederman, W. G. 1987 Timescale and structure of ejections and bursts in turbulent channel flows. J. Fluid Mech. 174, 529.Google Scholar
Mansour, N. N., Kim, J. & Moin, P. 1988 Reynolds-stress and dissipation rate budgets in a turbulent channel flow. J. Fluid Mech. 194, 15.Google Scholar
Moin, P. & Kim, J. 1980 On the numerical solution of time-dependent viscous incompressible fluid flows involving solid boundaries. J. Comp. Phys. 35, 381.Google Scholar
Moin, P. & Kim, J. 1982 Numerical investigation of turbulent channel flow. J. Fluid Mech. 118, 341.Google Scholar
Panton, R. & Linebarger, J. H. 1974 Wall pressure spectra calculations for equilibrium boundary layers. J. Fluid Mech. 65, 261.Google Scholar
Phillips, O. M. 1956 On the generation of waves by turbulent wind. J. Fluid Mech 2, 417.Google Scholar
Robinson, S. K., Kline, S. J. & Spalart, P. R. 1988 Quasi-coherent structures in the turbulent boundary layer: Part II. Verification and new information from a numerically simulated plate layer. Proc. Zoran Zaric Memorial International Seminar on Near-Wall Turbulence, May 16–20, 1988. Dubrovnik, Yugoslavia.
Schewe, G. 1983 On the structure and resolution of wall-pressure fluctuations associated with turbulent boundary-layer flow. J. Fluid Mech. 134, 311.Google Scholar
Spalart, P. R. 1988 Direct simulation of a turbulent boundary layer up to Re0 = 1410. J. Fluid Mech. 187, 61.Google Scholar
Townsend, A. A. 1976 The Structure of Turbulent Shear Flows, 2nd edn. Cambridge University Press.
Willmarth, W. W. 1975 Pressure fluctuations beneath turbulent boundary layers. Ann. Rev. Fluid Mech. 7, 13.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. 14, 187.Google Scholar
Wills, J. A. B. 1964 On convection velocities in turbulent shear flows. J. Fluid Mech. 20, 417.Google Scholar