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On the growth of turbulent regions in laminar boundary layers

Published online by Cambridge University Press:  20 April 2006

Mohamed Gad-El-Hak
Affiliation:
Flow Research Company, Kent, Washington 98031
Ron F. Blackwelderf
Affiliation:
Flow Research Company, Kent, Washington 98031 Permanent address: Department of Aerospace Engineering. University of Southern. California, Los Angeles, California 90007.
James J. Riley
Affiliation:
Flow Research Company, Kent, Washington 98031

Abstract

Turbulent spots evolving in a laminar boundary layer on a nominally zero pressure gradient flat plate are investigated. The plate is towed through an 18 m water channel, using a carriage that rides on a continuously replenished oil film giving a vibrationless tow. Turbulent spots are initiated using a solenoid valve that ejects a small amount of fluid through a minute hole on the working surface. A novel visualization technique that utilizes fluorescent dye excited by a sheet of laser light is employed. Some new aspects of the growth and entrainment of turbulent spots, especially with regard to lateral growth, are inferred from the present experiments. To supplement the information on lateral spreading, a surbulent wedge created by placing a roughness element in the laminar boundary layer is also studied both visually and with probe measurements. The present results show that, in addition to entrainment, another mechanism is needed to explain the lateral growth characteristics of a turbulent region in a laminar boundary layer. This mechanism, termed growth by destabilization, appears to be a result of the turbulence destabilizing the unstable laminar boundary layer in its vicinity. To further understand the growth mechanisms, the turbulence in the spot is modulated using drag-reducing additives and salinity stratification.

Type
Research Article
Copyright
© 1981 Cambridge University Press

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References

Anders, J. B. & Blackwelder, R. F. 1980 Longitudinal vortices in a transitioning boundary layer. Proc. IUTAM Symp. on Laminar—Turbulent Transition. Springer.
Berman, N. S. & George, W. K. 1974 Onset of drag reduction in dilute polymer solutions. Phys. Fluids 17, 250.Google Scholar
Bertshy, J. R. & Abernathy, F. H. 1977 Modifications to laminar and turbulent boundary layers due to the addition of dilute polymer solutions. Proc. 2nd Int. Conf. on Drag Reduction, Cambridge, England.
Blackwelder, R. F. & Kovasznay, L. S. G. 1972 Time scales and correlations in a turbulent boundary layer. Phys. Fluids 15, 1545.Google Scholar
Burgers, J. M. 1924 The motion of a fluid in the boundary layer along a plane smooth surface. Proc. 1st Int. Cong, of Applied Mech., Delft, p. 113.
Cantwell, B., Coles, D. & Dimotakis, P. 1978 Structure and entrainment in the plane of symmetry of a turbulent spot. J. Fluid Mech. 87, 641.Google Scholar
Charters, A. C. 1943 Transition between laminar and turbulent flow by transverse contamination. N.A.C.A. Tech. Note no. 891.Google Scholar
Chen, C.-H. P. & Blackwelder, R. 1978 Large-scale motion in a turbulent boundary layer: a study using temperature contamination. J. Fluid Mech. 89, 1.Google Scholar
Coles, D. & Barker, S. J. 1975 Some remarks on a synthetic turbulent boundary layer. In Turbulent Mixing in Nonreactive and Reactive Flows (ed. S. N. B. Murthy), p. 285. Plenum.
Corrsin, S. & Kistler, A. L. 1955 Free-stream boundaries of turbulent flows. N.A.C.A. Rep. no. 1244. (supersedes N.A.C.A. TN 3133.)Google Scholar
Dryden, H. L. 1934 Boundary layer flow near flat plates. Proc. 4th Int. Cong, of Applied Mech., Cambridge, England, p. 175.
Dryden, H. L. 1936 Airflow in the boundary layer near a plate. N.A.C.A. Rep. no. 562.Google Scholar
Dryden, H. L. 1939 Turbulence and the boundary layer. J. Atmos. Sci. 6, 85, 101.Google Scholar
Elder, J. W. 1960 An experimental investigation of turbulent spots and breakdown to turbulence. J. Fluid Mech. 9, 235.Google Scholar
Emmons, H. W. 1951 The laminar—turbulent transition in a boundary layer. J. Aero. Sci. 18, 490.Google Scholar
Falco, R. E. 1977 Coherent motions in the outer region of turbulent boundary layer. Phys. Fluids 20, S124.Google Scholar
Fiedler, H. E. & Head, M. R. 1966 Intermittency measurements in a turbulent boundary layer. J. Fluid Mech. 25, 719.Google Scholar
Gad-El-Hak, M., Blackwelder, R. F. & Riley, J. J. 1979 A visual study of the growth and entrainment of turbulent spots. Proc. IUTAM Symp. on Laminar—Turbulent Transition, University of Stuttgart, p. 297. Springer.
Gaster, M. 1975 A theoretical model of a wave packet in the boundary layer on a flat plate. Proc. Roy. Soc. A 347, 271.Google Scholar
Gaster, M. 1978 The physical processes causing breakdown to turbulence. 12th Naval Hydrodynamics Symposium, Washington, D.C., p. 22.
Gaster, M. & Grant, I. 1975 An experimental investigation of the formation and development of a wave packet in a laminar boundary layer. Proc. Roy. Soc. A 347, 253.Google Scholar
Hama, F. R., Long, J. D. & Hagarety, J. C. 1957 On transition from laminar to turbulent flow. J. Appl. Phys. 28, 388.Google Scholar
Klebanoff, P. S., Tidstrom, K. D. & Sargent, L. M. 1962 The three-dimensional nature of boundary layer instability. J. Fluid Mech. 12, 1.Google Scholar
Kovasznay, L. S. G., Komoda, H. & Vasudeva, B. R. 1962 Detailed flow field in transition. Proc. Heat Transfer and Fluid Mech. Inst., p. 1. Stanford University Press.
Lin, J.-T. & Pao, Y.-H. 1979 Wakes in stratified fluids. Ann. Rev. Fluid Mech. 11, 317.Google Scholar
Meyer, K. A. & Kline, S. J. 1961 A visual study of the flow model in the later stages of laminar-turbulent transition on a flat plate Mech. Eng. Dept., Stanford University, Rep. no. MD-7.
Morkovin, M. V. 1969 Critical evaluation of transition from laminar to turbulent shear layers with emphasis on hypersonically travelling bodies. Flight Dyn. Lab. Rep. no. AFFDL-TR-68–149.Google Scholar
Schlichting, H. 1933 Zur Entstehung der Turbulenz bei der Plattenstromung. Z. angew. Math. Mech. 13, 171.Google Scholar
Schubauer, G. B. & Klebanoff, P. S. 1956 Contributions on the mechanics of boundary layer transition. N.A.C.A. Rep. no. 1289.Google Scholar
Schubauer, G. B. & Skramstad, H. K. 1948 Laminar boundary layer oscillations on a flat plate. N.A.C.A. Rep. no. 909.Google Scholar
Tollmien, W. 1931 The production of turbulence. N.A.C.A. TM 609.
Townsend, A. A. 1976 The Structure of Turbulent Shear Flow. Cambridge University Press.
Van Atta, C. W. & Helland, K. N. 1980 Exploratory temperature-tagging measurements of turbulent spots in a heated laminar boundary layer. J. Fluid Mech. 100, 243.Google Scholar
Van Der Hegge Zijnen, B. G. 1924 Measurements of the velocity distribution in the boundary layer along a plane surface. Thesis, Delft.
Wygnanski, I., Haritonidis, J. H. & Kaplan, R. E. 1979 On Tollmien-Schlichting wave packet produced by a turbulent spot. J. Fluid Mech. 92, 505.Google Scholar
Wygnanski, I., Sokolov, M. & Friedman, D. 1976 On a turbulent ‘spot’ in a laminar boundary layer. J. Fluid Mech. 78, 785.Google Scholar
Zilberman, M., Wygnanski, I. & Kaplan, R. 1977 Transitional boundary layer spot in a fully turbulent environment. Phys. Fluids Suppl. 20, 258.Google Scholar