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An experimental study of transition and the development of turbulence in a linearly retarded boundary-layer flow

Published online by Cambridge University Press:  04 July 2016

B. W. van Oudheusden
B. W. van Oudheusden*
Affiliation:
Department of Aerospace EngineeringDelft University of TechnologyDelft, The Netherlands
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Abstract

An experimental investigation was carried out of the incompressible boundary layer flow along a flat plate, in the presence of an adverse pressure gradient that corresponds to a linear retardation of the free stream velocity. The turbulence level in the free-stream was 0·12% and transition occurred with the laminar boundary layer being close to separation. For three values of the Reynolds number (2·56, 3·11 and 4·09 million based on the reference length that is defined as the reciprocal of the nondimensional-velocity gradient) the laminar, transitional and turbulent regions were studied by single (normal) hot-wire surveys at several streamwise positions. This allows the fluctuations of the streamwise velocity component to be followed from the amplification of laminar instability waves, through breakdown in the intermittency region, and the subsequent development towards a more or less developed turbulence structure. The study reveals that within the transition region fluctuation levels are reached throughout a large part of the boundary layer that are significantly higher than those in fully developed turbulent flow, which is partly a direct consequence of the intermittent character of the flow. For the highest Reynolds number additional cross-wire surveys were carried out in the turbulent region to observe the development of the turbulent stresses following transition. The data are interpreted in terms of structural coefficients, eddy viscosity and mixing length. Also, these results indicate that the transition process can be associated with turbulence levels well in excess of those occurring in fully developed turbulence, and reveal the relaxation of the outer region turbulence structure.

Type
Research Article
Information
The Aeronautical Journal , Volume 103 , Issue 1029 , November 1999 , pp. 497 - 510
Copyright
Copyright © Royal Aeronautical Society 1999 

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References

1. Schubauer, G.B. and Skramstad, H.K. Laminar-boundary-layer oscillations and transition on a flat plate, NACA Report 909, 1948.Google Scholar
2. Schubauer, G.B. and Klebanoff, P.S. Contributions on the mechanics of boundary layer transition, NACA TN 3489, 1955.Google Scholar
3. Klebanoff, P.S. Characteristics of turbulence in a boundary layer with zero pressure gradient, NACA Report 1247, 1955.Google Scholar
4. Walker, G.J. and Gostelow, J.P. Effects of adverse pressure gradients on the nature and length of boundary layer transition, J Turbomachinery, 1990,112, pp 196–205.Google Scholar
5. Nagano, Y., Tagawa, T. and Tsuji, T. Effects of adverse pressure gradients on mean flows and turbulent statistics in a boundary layer, Turbulent Shear Flows, Durst, F. et al (Eds), 1993, 8, pp 7–21.Google Scholar
6. Seifert, A. and Wyganski, I.J. On turbulent spots in a laminar boundary layer subjected to a self-similar adverse pressure gradient, J Fluid Mech, 1995, 296, pp 185–209.Google Scholar
7. Mislevy, S.P. and Wang, T. The effects of adverse pressure gradient on momentum and thermal structures in transitional boundary layers, J Turbomachinery, 1996,118, pp 717–736.Google Scholar
8. Gostelow, J.P., Melwani, N. and Walker, G.J. Effects of streamwise pressure gradient on turbulent spot development, J Turbomachinery 1996,118, pp 737–743.Google Scholar
9. Van Hest, B.F.A. Laminar-Turbulent Transition in Boundary Layers With Adverse Pressure Gradient, PhD thesis, Delft University of Technology, The Netherlands, 1996.Google Scholar
10. Saric, W.S. Physical description of boundary-layer transition: experimental evidence, Progress on Transition Modelling, AGARD-R-793, 1993.Google Scholar
11. Arnal, D. Description and prediction of transition in two-dimensional incompressible flow, Stability and Transition of Laminar Flow, AGARD-R-709,1984.Google Scholar
12. Herbert, T. Boundary-layer transition — analysis and prediction revisited, AIAA Paper 91-0737,1991.Google Scholar
13. Singer, B.A. Modeling the transition region. Progress on Transition Modelling, AGARD-R-793, 1993.Google Scholar
14. Sreenivasan, K.R. The turbulent boundary layer, Frontiers in Experimental Fluid Mechanics. Lecture Notes in Engineering, Gad-el-Hak, M. (Ed), Springer, 1988,46, pp 159–209.Google Scholar
15. Gad-el-Hak, M. and Bandyopadhyay, P.R. Reynolds number effects in wall-bounded turbulent flows, Appl Mech Rev, 1994, 47, pp 307–365.Google Scholar
16. Fernholz, H.H. and Finley, P.J. The incompressible zero-pressure-gradient turbulent boundary layer: an assessment of the data, Prog Aerospace Sci, 1996, 32, pp 245–311.Google Scholar
17. Dussauge, J.P., Smith, R.W., Smits, A.J., Fernholz, H., Finley, P.J. and Spina, E.F. Turbulent boundary layers in subsonic and supersonic flow, AGARD-AG-335, 1996.Google Scholar
18. van Oudheusden, B.W. Experimental Investigation of Transition and the Development of Turbulence in Boundary Layer Flow in an Adverse Pressure Gradient, MSc thesis, Department of Aerospace Engineering, Delft University of Technology, The Netherlands, 1985.Google Scholar
19. Rubesin, M.W. Numerical turbulence modeling, AGARD-LS-86, Paper 3, 1977.Google Scholar
20. Wilcox, D.C. Simulation of transition with a two-equation turbulence model, AIAA J, 1994, 32, pp 247–255.Google Scholar
21. Tulapurkara, E.G. Turbulence models for the computation of flow past airplanes, Prog Aerospace Sci, 1997, 33, pp 71–165.Google Scholar
22. Clauser, F.H. The turbulent boundary layer, Adv Appl Mech, 1956, 4, pp 1–51.Google Scholar
23. Bradshaw, P. The turbulence structure of equilibrium boundary layers, J Fluid Mech, 1967, 29, pp 625–645.Google Scholar
24. East, L.F. and Sawyer, W.G. An investigation of the structure of equilibrium turbulent boundary layers, AGARD-CP-271, Paper 6, 1979.Google Scholar
25. Galbraith, R.A., Siolander, S. and Head, M.R. Mixing length in the wall region of turbulent boundary layers, Aero Quart, 1977, 28, pp 97–110.Google Scholar
26. Escudier, M.P. The distribution of the mixing length in turbulent flow near walls, Rept TWF/TN/1, Imperial College, London, 1965.Google Scholar
27. Mcdonald, H. and Camarata, F.J. An extended mixing length approach for computing the turbulent boundary layer development, Proc Computation of turbulent boundary layers - 1968 AFOSR-IFP-Stanford Conference, Kline, S.J. et al (Ed), Stanford, 1968, 1, pp 83–98.Google Scholar
28. Michel, R., Quemard, C. and Durant, R. Hypotheses on the mixing length and applications on the calculation of the turbulent boundary layers, Proc Computation of turbulent boundary layers - 1968 AFOSR-IFP-Stanford Conference, Kline, S.J. et al (Ed), Stanford, 1968, 1, pp 195–212.Google Scholar
29. Cebeci, T. and Smith, A.M.O. A finite-difference solution of the incompressible turbulent boundary layer equations by an eddy-viscosity concept, Proc. Computation of turbulent boundary layers - 1968 AFOSR-IFP-Stanford Conference, Kline, S.J. et al (Ed), Stanford, 1968,1, pp 346–355.Google Scholar
30. Arnal, D. Boundary layer transition: predictions based on linear theory, Progress on Transition Modelling, AGARD-R-793, 1993.Google Scholar
31. Cebeci, T. and Bradshaw, P. Momentum transfer in boundary layers, Hemisphere Publishing, 1977.Google Scholar
32. Howarth, L. On the solution of the laminar boundary layer equations, Proc Roy Soc, London, 1938, A164, pp 547–579.Google Scholar
33. Van ingen, J.L., Boermans, L.M.M. and Blom, J.J.H. Low-speed air foil section research at Delft University of Technology, ICAS Paper 80-10.1, 1980.Google Scholar
34. Reichardt, R. Vollständige Darstellung der turbulenten Geschwindig-keitsverteilung in glatten Leitungen, ZAMM 1951, 31, pp 208–219.Google Scholar
35. Patel, V.C. Calibration of the Preston tube and limitations on its use in pressure gradients, J Fluid Mech, 1965, 23, pp 185–208.Google Scholar
36. Poll, D.I.A., Mathews, J. and Stewart, I.R. Some evidence in support of a Reynolds number independent universal law of the wall, CoA Report No 8514, 1985.Google Scholar
37. Bhatia, J.C., Durst, F. and Jovanovic, J. Corrections of hot-wire anemometer measurements near walls, J Fluid Mech, 1982, 122, pp 411–431.Google Scholar
38. Krishnamoorthy, L.V., Wood, D.H., Antonia, R.A. and Chambers, A.J. Effect of wire diameter and overheat ratio near a conducting wall, Exp in Fluids, 1985, 3, pp 121–127.Google Scholar
39. Van oudheusden, B.W. The behaviour of a thermal-gradient sensor in laminar and turbulent shear flow, J Phys E Sci Instr, 1989, 22, pp 490–498.Google Scholar
40. Ross, J.A., Barnes, F.H., Burns, J.G. and Ross, M.A.S. The flat plate boundary layer, Part 3. Comparison of theory with experiment, J Fluid Mech, 1970, 43, pp 819–832.Google Scholar
41. Wubben, F.J.M., Passchier, D.M. and van Ingen, J.L. An experimental investigation of Tollmien-Schlichting instabilities in an adverse pressure gradient boundary layer, In Laminar-Turbulent Transition, IUTAM Symposium Toulouse, Arnal, D. and Michel, T. (Eds), 1990, pp 31–42.Google Scholar
42. Kachanov, YU.S. and Levchenko, V.YA. The resonant interaction of disturbances at laminar-turbulent transition in a boundary layer, J Fluid Mech, 1984,138, pp 209–247.Google Scholar
43. Herbert, T. and Bertolotti, F.P. Effect of pressure gradient on the growth of subharmonic disturbances in boundary layers, Proc Conf on low Re number airfoil aerodynamics, UNDAS-CP-77B123, Univ of Notre Dame, Mueller, T.J. (Ed), 1985, pp 65–76.Google Scholar
44. Roach, P.E. and Brierley, D.H. The influence of a turbulent freestream on zero pressure gradient transitional boundary layer development, In: Numerical simulation of unsteady flows and transition to turbulence, Pironneau, O. et al (Eds), Cambridge University Press, 1992, pp 319–347.Google Scholar
45. Arnal, D. and Juillen, J.-C. Etude de l'intermittence dans un région de transition, Rech Aerosp, 1977.Google Scholar
46. Gleyzes, C, Cousteix, J. and Bonnet, J.-L. Bulbe de décollement laminaire avec transition (théorie et expérience), L'Aeron et L'Astron 1980, 80, pp 41–57.Google Scholar
47. Arnal, D. and Juillen, J.-C. Resultats experimentaux relatifs a l'influence des processus de transition sur la structure initial d'une couche limite turbulente, AGARD-CP- 271, Paper 22, 1979.Google Scholar
48. Spalart, P.R. and Leonard, A. Direct numerical simulation of equilibrium boundary layers, Turbulent Shear Flows, Durst, F. et al (Eds), 1985, 5, pp 234–252.Google Scholar
49. Mcdonald, H. The effect of pressure gradient on the law of the wall in turbulent flow, J Fluid Mech, 1969, 35, pp 311–336.Google Scholar