Hostname: page-component-669899f699-b58lm Total loading time: 0 Render date: 2025-04-26T04:38:02.698Z Has data issue: false hasContentIssue false
  • English
  • Français

A turbulent spot in a two-dimensional duct

Published online by Cambridge University Press:  21 April 2006

M. Sokolov ,
R. A. Antonia  and
A. J. Chambers
M. Sokolov
Affiliation:
Department of Fluid Mechanics & Heat Transfer, Tel Aviv University, Tel Aviv, 69978, Israel
R. A. Antonia
Affiliation:
Department of Mechanical Engineering, University of Newcastle, NSW, 2308, Australia
A. J. Chambers
Affiliation:
Department of Fluid Mechanics & Heat Transfer, Tel Aviv University, Tel Aviv, 69978, Israel
Get access Rights & Permissions [Opens in a new window]

Abstract

A turbulent spot is induced by a spark triggered in one of the laminar boundary layers in the entrance region of a two-dimensional duct flow. The development of the spot is studied using ensemble-averaged velocity and wall shear stress in the plane of symmetry of the spot. Following an initial growth of the spot, the potential-flow field associated with this spot triggers a second spot on the opposite wall of the duct. This new spot propagates at the same convection velocity as the original spot and grows until the turbulent regions occupied by the two spots completely fill the width of the duct. This transition mechanism differs significantly from that observed for a plane Poiseuille flow, where the spot fills the duct almost immediately after it is generated.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 166 , May 1986 , pp. 211 - 225
Copyright
© 1986 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.)

Article purchase

Temporarily unavailable

References

Amini, J. & Lespinard, G. 1982 Experimental study of an “incipient spot” in a transitional boundary layer. Phys. Fluids 25, 1743–1750.Google Scholar
Antonia, R. A., Chambers, A. J., Sokolov, M. & Van Atta, C. W. 1981a Simultaneous temperature and velocity measurements in the plane of symmetry of a transitional turbulent spot. J. Fluid Mech. 108, 317–343.Google Scholar
Antonia, R. A., Chambers, A. J., Sokolov, M. & Van Atta, C. W. 1981b On the similarity between velocity and temperature fields within a turbulent spot. In Proc. 3rd Symp. on Turbulent Shear Flows, Davis, pp. 10.1–10.6.
Cantwell, B., Coles, D. & Dimotakis, P. 1978 Structure and entrainment in the plane of symmetry of a turbulent spot. J. Fluid Mech. 87, 641–672.Google Scholar
Carlson, D. R., Widnall, S. E. & Peeters, M. F. 1982 A flow-visualization study of transition in plane Poiseuille flow. J. Fluid Mech. 121, 487–505.Google Scholar
Coles, D. & Barker, S. J. 1975 Some remarks on a synthetic turbulent boundary layer. In Turbulent Mixing in Non-reactive and Reactive Flows (ed. S. N. B. Murthy), pp. 285–292. Plenum.
Corrsin, S. & Kistler, A. L. 1955 Free-stream boundaries of turbulent flows. NACA Rep. 1244.Google Scholar
Dean, R. B. & Bradshaw, P. 1976 Measurements of interacting turbulent shear layers in a duct. J. Fluid Mech. 78, 641–676.Google Scholar
Gad-El-Hak, M., Blackwelder, R. F. & Riley, J. J. 1981 On the growth of turbulent regions in laminar boundary layers. J. Fluid Mech. 110, 73–96.Google Scholar
Head, M. R. & Bandyopadhyay, P. 1981 New aspects of turbulent boundary-layer structure. J. Fluid Mech. 107, 297–338.Google Scholar
Matsui, T. 1980 Visualization of turbulent spots in the boundary layer along a flat plate in a wall flow. In Laminar-Turbulent Transition (ed. R. Eppler & H. Fasel), pp. 288–296. Springer.
Narasimha, R., Devasia, K. J., Gurueani, G. & Badri Narayanan, M. A. 1984a Transitional intermittency in boundary layers subjected to pressure gradient. Expts in Fluids 2, 1–6.Google Scholar
Narasimha, R., Subramanian, C. S. & Badri Narayanan, M. A. 1984b Turbulent spot growth in favorable pressure gradients. AIAA J. 22, 837–839.Google Scholar
Nishioka, M. & Asai, M. 1985 Some observations of the subcritical transition in plane Poiseuille flow. J. Fluid Mech. 150, 441–450.Google Scholar
Perry, A. E., Lim, T. T. & Teh, E. W. 1981 A visual study of turbulent spots. J. Fluid Mech. 104, 387–405.Google Scholar
Rajagopalan, S. & Antonia, R. A. 1980 Investigation of natural transition in the inlet region of a two dimensional duct flow. Phys. Fluids 23, 1938–1948.Google Scholar
Riley, J. J. & Gad-El-Hak, M. 1984 The Dynamics of turbulent spots. In Fundamentals of Fluid Mechanics (ed. S. H. Davis & J. L. Lumley). Springer.
Schlichting, H. 1979 Boundary Layer Theory, 7th edn. McGraw-Hill.
Schubauer, G. B. & Klebanoff, P. S. 1956 Contributions on the mechanics of boundary-layer transition. NACA Rep. 1289.Google Scholar
Sokolov, M., Antonia, R. A. & Chambers, A. J. 1980 A similarity transformation for a turbulent spot in a laminar boundary layer. Phys. Fluids 23, 2561–2563.Google Scholar
Tani, I. 1982 Three-dimensional aspects of boundary-layer transition. In Surveys in Fluid Mechanics (ed. R. Narasimha & S. M. Deshpande) pp. 125–144. Indian Academy of Sciences.
Van Atta, C. W., Sokolov, M., Antonia, R. E. & Chambers, A. J. 1982 Potential flow signature of a turbulent spot. Phys. Fluids 25, 424–428.Google Scholar
Wygnanski, I. 1981 The effect of reynolds number and pressure gradient on the transitional spot in a laminar boundary layer (ed. J. Jimenez). Lecture Notes in Physics, Vol. 136, pp. 304–332. Springer.
Wygnanski, I., Haritonidis, J. H. & Kaplan, R. E. 1979 On a Tollmien-Schlichting wave packet produced by a turbulent spot. J. Fluid Mech. 92, 505–528.Google Scholar
Wygnanski, I., Sokolov, M. & Friedman, D. 1976 On a turbulent “spot” in a laminar boundary layer. J. Fluid Mech. 78, 785–819.Google Scholar
Wygnanski, I., Zilberman, M. & Haritonidis, J. H. 1982 On the spreading of a turbulent spot in the absence of a pressure gradient. J. Fluid Mech. 123, 69–90.Google Scholar