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The application of boundary layer independence principle to three-dimensional turbulent mixing layers

Published online by Cambridge University Press:  11 May 2011

ISRAEL WYGNANSKI*
Affiliation:
Department of Aerospace and Mechanical Engineering, The University of Arizona, Tucson, AZ 85721, USA
PHILIPP TEWES
Affiliation:
Department of Aerospace and Mechanical Engineering, The University of Arizona, Tucson, AZ 85721, USA
HOLGER KURZ
Affiliation:
Department of Aerospace and Mechanical Engineering, The University of Arizona, Tucson, AZ 85721, USA
LUTZ TAUBERT
Affiliation:
Department of Aerospace and Mechanical Engineering, The University of Arizona, Tucson, AZ 85721, USA
CHUNMEI CHEN
Affiliation:
Department of Aerospace and Mechanical Engineering, The University of Arizona, Tucson, AZ 85721, USA
*
Email address for correspondence: wygy@email.arizona.edu

Abstract

Turbulent mixing layers emanating from slanted trailing edges or nozzles evolve in a manner that is explainable by applying the independence principle to boundary layer flows. Although measurements downstream of a planar chevron splitter plate validate the concept, the intent of this short article is to re-examine the broader ramifications of this observation. Turbulent boundary layer growth on a yawed flat plate is re-examined as is the attached flow direction near the trailing edge of a highly swept-back wing.

Type
Papers
Copyright
Copyright © Cambridge University Press 2011

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References

REFERENCES

Ashkenas, H. 1958 Turbulent shearing stress in the boundary layer of yawed flat plates. NACA Tech. Rep. TN-4140.Google Scholar
Ashkenas, H. & Riddell, F. 1955 Investigation of the turbulent boundary layer on a yawed flat plate. NACA Tech. Rep. TN-3383.Google Scholar
Atsavapranee, P. & Gharib, M. 1994 A plane mixing layer with cross-shear. Phys. Fluids 6, 28802882.CrossRefGoogle Scholar
Bradshaw, P. 1971 Calculation of three-dimensional turbulent boundary layers. J. Fluid Mech. 46, 417445.CrossRefGoogle Scholar
Cohen, J. & Wygnanski, I. 1987 a The evolution of instabilities in the axisymmetric jet. Part 1. The linear growth of disturbances near the nozzle. J. Fluid Mech. 176, 191219.CrossRefGoogle Scholar
Cohen, J. & Wygnanski, I. 1987 b The evolution of instabilities in the axisymmetric jet. Part 2. The flow resulting from the interaction between two waves. J. Fluid Mech. 176, 221235.CrossRefGoogle Scholar
Darabi, A., Stalker, A., McVeigh, M. & Wygnanski, I. 2003 The rotor wake above a tiltrotor airplane model in hover. In 33rd AIAA Fluid Dynamics Conference and Exhibit, Orlando, Florida, 23-26 June. AIAA Paper 2003–3596.Google Scholar
Darabi, A. & Wygnanski, I. 2004 Active management of naturally separated flow over a solid surface. Part 1. The forced reattachment process. J. Fluid Mech. 510, 105129.CrossRefGoogle Scholar
Fiedler, H. E., Nayeri, C., Spieweg, R. & Paschereit, C. O. 1998 Three-dimensional mixing layers and their relatives. Exp. Therm. Fluid Sci. 16, 321.CrossRefGoogle Scholar
Gaster, M., Kit, E. & Wygnanski, I. 1985 Large-scale structures in a forced turbulent mixing layer. J. Fluid Mech. 150, 2339.CrossRefGoogle Scholar
Grundel, H. & Fiedler, H. E. 1993 The mixing layer between non-parallel streams. Appl. Sci. Res. 51, 167171.CrossRefGoogle Scholar
Huerre, P. & Monkewitz, P. A. 1985 Absolute and convective instabilities in free shear layers. J. Fluid Mech. 159, 151168.CrossRefGoogle Scholar
Kit, E., Wygnanski, I., Friedman, D., Krivonosova, O. & Zhilenko, D. 2007 On the periodically excited plane turbulent mixing layer, emanating from a jagged partition. J. Fluid Mech. 589, 479507.CrossRefGoogle Scholar
Lu, G. & Lele, S. K. 1993 Inviscid instability of a skewed compressible mixing layer. J. Fluid Mech. 249, 441463.CrossRefGoogle Scholar
Marasli, B., Champagne, F. H. & Wygnanski, I. J. 1991 On linear evolution of unstable disturbances in a plane turbulent wake. Phys. Fluids A 3, 665674.CrossRefGoogle Scholar
Michalke, A. 1965 On spatially growing disturbances in an inviscid shear layer. J. Fluid Mech. 23, 521544.CrossRefGoogle Scholar
Nayeri, C. 2000 Investigation of the three-dimensional shear layer between confined coaxial jets with swirl. PhD thesis, Technische Universität Berlin.Google Scholar
Oster, D. & Wygnanski, I. 1982 The forced mixing layer between parallel streams. J. Fluid Mech. 123, 91130.CrossRefGoogle Scholar
Roos, F. W., Kegelman, J. T. & Kibens, V. 1989 Two-stream mixing layer from a swept trailing edge. In 2nd AIAA Shear Flow Control Conference, Tempe, Arizona, 13–16 March. AIAA Paper 1989-1022.Google Scholar
Shalaev, I. & Tumin, A. 2006 Stability of three-dimensional mixing layers. In 36th AIAA Fluid Dynamics Conference and Exhibit, San Francisco, California, 5–8 June. AIAA Paper 2006-3882.Google Scholar
Tewes, P., Taubert, L. & Wygnanski, I. 2010 On the use of sweeping jets to augment the lift of a lambda-wing. In 28th AIAA Applied Aerodynamics Conference, Chicago, Illinois, 28 June – 1 July. AIAA Paper 2010-4689.Google Scholar
Wlezien, R. W. & Kibens, V. 1986 Passive control of jets with indeterminate origins. AIAA J. 24 (8), 12631270.CrossRefGoogle Scholar
Wygnanski, I. & Weisbrot, I. 1988 On the pairing process in an excited plane turbulent mixing layer. J. Fluid Mech. 195, 161173.CrossRefGoogle Scholar
Zakharin, B., Kit, E. & Wygnanski, I. 2009 On a turbulent mixing layer created downstream of a lambda notch simulating one wavelength of a chevron nozzle. Flow Turbul. Combust. 83, 371388.CrossRefGoogle Scholar
Zhou, M. D. & Wygnanski, I. 2001 The response of a mixing layer formed between parallel streams to a concomitant excitation at two frequencies. J. Fluid Mech. 441, 139168.CrossRefGoogle Scholar