Prediction of Wall Shear Stresses in Transitional Boundary Layers Using Near-Wall Mean Velocity Profiles

  • Jeon, Woo-Pyung (Institute of Advanced Machinery and Design, Seoul National University) ;
  • Shin, Sung-Ho (School of Mechanical and Aerospace Engineering,Seoul National University) ;
  • Kang, Shin-Hyoung (School of Mechanical and Aerospace Engineering,Seoul National University)
  • Published : 2000.11.01

Abstract

The local wall shear stress in transitional boundary layer was estimated from the near-wall mean velocity data using the principle of Computational Preston Tube Method(CPM). The previous DNS and experimental databases of transitional boundary layers were used to demonstrate the accuracy of the method and to provide the applicable range of wall unit y(sup)+. The skin friction coefficients predicted by the CPM agreed well with those from previous studies. To reexamine the applicability of CPM, near-wall hot-wire measurement were conducted in developing transitional boundary layers on a flat plate with different freestream turbulence intensities. The intermittency profiles across the transitional boundary layers were reasonably obtained from the conditional sampling technique. An empirical correlation between the representative intermittency near the wall and free parameter K$_1$of the extended wall function of CPM has been newly proposed using the present and other experimental data. The CPM has been verified as a useful tool to measure the wall shear stress in transitional boundary layer with reasonable accuracy.

Keywords

References

  1. Cantwell,B.J., Coles,D. and Dimotakis,P.E., 1978, 'Structure and Entraninment in the Plane of Symmetry of a Turbulent spot', J.of Fluid Mechanics, vol.87, pp.641-672 https://doi.org/10.1017/S0022112078001809
  2. Cebeci,T. and Smith,A.M.O, 1974, Analysis of Turbulent Boundary later, Academic Press, New York
  3. Dhawan,S, and Narasimha,R., 1958, 'some Properties of Boundaty Layer Flow During the Tracition from Laminar to Turbulent Motion', J.of Fluid Mechanics, Vol.3, pp.418-436 https://doi.org/10.1017/S0022112058000094
  4. Escudier,M.P. and Acharty,M., 'Critique of the Computational Preston Tube Method', Experiments in Fluids, Vol.5, pp.59-62
  5. Gostelow,J.P., Blunden,A.R. and Walker,G.J., 'Effects of Free-Stream Turbulence and Adverse Pressrute Gradients on Boundary Layer Transition', ASME J.of Turbomachinery, Vol.116, pp.392-404
  6. Hinxze,J.O., 1975, Turbulence, McGraw Hill, New York
  7. Hedley,T.B. and Keffer,J.F.,1974, 'Turbulent/Non-Turbulent Decisions in an Intermittent Folw',J,of Fluid Mechanics, Vol.64, pp.625-644 https://doi.org/10.1017/S0022112074001832
  8. Keller,F.J. and Wang,T., 1995, 'Effect of Criterion Functions on Intermittency in Heated Transitional Boudary Layers with and without Streamwise Acceleration', ASME J.of Turbomachinery, Vol.117, pp.154-165
  9. Kim.J., Simon.T,W. and Kestoras,M., 1994, 'Fluid Mechanics and Heat Transfer Measure Ments in Transitional Boundary Layers Conditionally Sampled on Intermittency', ASME J,of Turbomachinery, Vol.116, pp.405-416
  10. Klebanoff,P.S., 1955, 'Characteristics of Turbulence in a Boundary Layer with Zero Pressure Gradient', NACA Rep No.1247
  11. Kreplin,H.P. and Hohler,G., 1992, 'Application of the Surface Hot Film Technique to laminar Flow Technology', DGLR-Rep.92-06, pp.123-131
  12. Kuan,C,L. and Wang,T., 1990, 'Investigation of the Intermittent Behavior of Transitional Boundary Layer Using a Conditional Averaged Technique', Experimental Thermal and Fluid Science, Vol.3, pp.157-173 https://doi.org/10.1016/0894-1777(90)90084-K
  13. Jeon,W.P. and Kang,S.H., 1995, 'Measurements of Transitional Boundary Layer on a Flat Plate Using a Computational Preston Tube Method', Experiments in Fuids, Vol.20, pp.29-37
  14. Mayle,R.E., 1991, 'The Role of Laminar-Turbulent Transition in Gas Turbine Engines', ASME J.of Turbomachinery, Vol.113, pp.509-537
  15. Narasimha,R., Devasia,K.J., Gururani,G. and Badri Narayanan,M.A., 1984, 'Transitional Intermittency in Boudary Layers Subjected to Pressure Gradient',Experiments in Fluids, Vol.2, pp.171-176 https://doi.org/10.1007/BF00571859
  16. Nitsche,W., Thunker,R. and Haberland,C., 1983, 'A Computational Preston Tube Method', Turbulent Shear Flows 4, pp.261-276
  17. Nitsche,W., 1987, 'Rebuttal to'Critique of the Comprtational Preston Tube Method',Experiments in Fluids, Vol.5, pp.63-65
  18. Preston,J.H., 1954, 'The Determination of Turbulent Skin Friction by Means of Pitot Tubes', J,of the Royal Aeronautical Society, Vol.58, pp.109-121
  19. Rai,M,M. and Moin,P., 1993, 'Direct Numerical Simulation of Transition and Turbulence in a Spatially Evolbing Boundqry Layer', J,of Computational Physics, Vol.109, pp.169-192 https://doi.org/10.1006/jcph.1993.1210
  20. Schlichting,H., 1979, Boundary layer theory, McGraw Hill, New York
  21. Savill,A.M., 1993, 'Further Progress in the Turbulence Modelling of By-Pass Transition', Proceeding of Second International Symposium on Engineering Turbulence Modeling and Measurements, Florence,Italy pp.583-592
  22. Sohn,K.H. and Reshotko,E., 'Experimental Study of Boundary Layer Transition with Elevated Freestream Turbulence on a Heated Flat Plate', NACA CR 187068
  23. Szablewski,W., 1969, 'Turbulente Grenzschichten in Ablosenahe', Z.Angew,Math., Vol.49, p.215
  24. Wang,T. and Keller,F.J., 'Intermittent Flow and Thermal Structures of Accelerating Transitional Boudary Layers: Part 1-Mean Quantities', ASME J.of Turbomachinery, Vol.121, pp.98-105
  25. Weiser,N., Mirow,P. and Nitsche,W., 1989, 'Statische und Dynamische Messverfahre zur Transitionsbestimmung an Laminarprofilen', DGLR-jahrbuch 1, pp.427-434