Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-21T16:20:06.440Z Has data issue: false hasContentIssue false
  • English
  • Français

Timescale and structure of ejections and bursts in turbulent channel flows

Published online by Cambridge University Press:  21 April 2006

T. S. Luchik  and
W. G. Tiederman
T. S. Luchik
Affiliation:
School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907, USA Present Address: Jet Propulsion Lab, California Institute of Technology, Pasadena, CA 91109, USA.
W. G. Tiederman
Affiliation:
School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907, USA
Get access Rights & Permissions [Opens in a new window]

Abstract

Burst structures in the near wall region of turbulent flows are associated with a large portion of the turbulent momentum transport from the wall. However, quantitative measures of the timescales associated with the burst event are not well defined, largely due to ambiguities associated with the methods used to detect a burst.

In the present study, Eulerian burst-detection schemes were developed through extensions of the uv quadrant 2, VITA, and u-level techniques. Each of the basic techniques detects ejections. One or more ejections are contained in each burst and hence the key idea is to identify and to group those ejections from a single burst into a single-burst detection. When the ejection detections were grouped appropriately into burst detections, all of the extended techniques yielded the same average time between bursts as deduced from flow visualization for fully-developed channel flow in the range 8700 [les ] Reh [les ] 17 800. The present results show that inner variables (wall shear stress and kinematic viscosity) are the best candidates for the proper scaling of the average time between bursts. Conditional velocity sampling during burst and ejection detections shows that these burst events are closely correlated with slower-than-average moving fluid, moving both away from the wall and toward the wall.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 174 , January 1987 , pp. 529 - 552
Copyright
© 1987 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. 1984 Time scales for turbulent channel flows. Phys. Fluids 27, 1974.Google Scholar
Blackwelder, R. F. & Haritonidis, J. H. 1983 Scaling of the bursting frequency in turbulent boundary layers. J. Fluid Mech. 132, 87.Google Scholar
Blackwelder, R. F. & Kaplan, R. E. 1976 On the structure of the turbulent boundary layer. J. Fluid Mech. 76, 89.Google Scholar
Bogard, D. G. 1982 Investigation of burst structures in turbulent channel flows through simultaneous flow visualization and velocity measurements. Ph.D. thesis, Purdue University.
Bogard, D. G. & Tiederman, W. G. 1983 Investigation of flow visualization techniques for detecting turbulent bursts. In Symposium on Turbulence, 1981 (ed. X. B. Reed, G. K. Patterson & J. L. Zakin), p. 289. University of Missouri, Rolla.
Bogard, D. G. & Tiederman, W. G. 1986 Burst detection with single point velocity measurements. J. Fluid Mech. 162, 389.Google Scholar
Corino, E. R. & Brodkey, R. S. 1969 A visual study of turbulent shear flow. J. Fluid Mech. 37, 1.Google Scholar
Dean, R. B. 1978 Reynolds number dependence of skin friction and other bulk flow variables in two-dimensional rectangular duct flows. Trans. ASME I: J. Fluids Engng 100, 215.Google Scholar
Johansson, A. V. & Alfredsson, P. H. 1982 On the structure of turbulent channel flow. J. Fluid Mech. 122, 295.Google Scholar
Kim, H. T., Kline, S. J. & Reynolds, W. C. 1971 The production of turbulence near a smooth wall in a turbulent boundary layer. J. Fluid Mech. 50, 133.Google Scholar
Lu, S. & Willmarth, W. W. 1973 Measurements of the structure of Reynolds stress in a turbulent boundary layer. J. Fluid Mech. 60, 481.Google Scholar
Luchik, T. S. 1985 The effect of drag-reducing additives on the turbulent structure in channel flows. Ph.D. thesis, Purdue University.
Luchik, T. S. & Tiederman, W. G. 1984 Bursting rates in channel flows and drag-reducing channel flows. In Symposium on Turbulence, 1983 (ed. X. B. Reed, G. K. Patterson & J. L. Zakin), p. 15. University of Missouri, Rolla.
Offen, G. R. & Kline, S. J. 1975 A comparison and analysis of detection methods for the measurement of production in a boundary layer. In Proc. 3rd Biennial Symp. on Turbulence in Liquids (ed. G. K. Patterson & J. L. Zakin), p. 289. University of Missouri, Rolla.
Robinson, S. K. 1982 An experimental search for near-wall boundary conditions for large eddy simulation. AIAA paper 82–0963, St Louis, Missouri.Google Scholar
Tiederman, W. G., Luchik, T. S. & Bogard, D. G. 1985 Wall-layer structure and drag reduction. J. Fluid Mech. 156, 419.Google Scholar
Willmarth, W. W. & Sharma, L. K. 1984 Study of turbulent structure with hot wires smaller than the viscous length. J. Fluid Mech. 142, 121.Google Scholar