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Effects of upstream boundary layer on the unsteadiness of shock-induced separation

Published online by Cambridge University Press:  07 August 2007

B. GANAPATHISUBRAMANI ,
N. T. CLEMENS  and
D. S. DOLLING
B. GANAPATHISUBRAMANI
Affiliation:
Center for Aeromechanics Research, The University of Texas at Austin, Austin, TX 78712, USA
N. T. CLEMENS
Affiliation:
Center for Aeromechanics Research, The University of Texas at Austin, Austin, TX 78712, USA
D. S. DOLLING
Affiliation:
Center for Aeromechanics Research, The University of Texas at Austin, Austin, TX 78712, USA
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Abstract

The relationship between the upstream boundary layer and the low-frequency, large-scale unsteadiness of the separated flow in a Mach 2 compression ramp interaction is investigated by performing wide-field particle image velocimetry (PIV) and planar laser scattering (PLS) measurements in streamwise–spanwise planes. Planar laser scattering measurements in the upstream boundary layer indicate the presence of spanwise strips of elongated regions of uniform momentum with lengths greater than 40δ. These long coherent structures have been observed in a Mach 2 supersonic boundary layer (Ganapathisubramani, Clemens & Dolling 2006) and they exhibit strong similarities to those that have been found in incompressible boundary layers (Tomkins & Adrian 2003; Ganapathisubramani, Longmire & Marusic 2003). At a wall-normal location of y/δ=0.2, the inferred instantaneous separation line of the separation region is found to oscillate between x/δ=−3 and −1 (where x/δ=0 is the ramp corner). The instantaneous spanwise separation line is found to respond to the elongated regions of uniform momentum. It is shown that high- and low-momentum regions are correlated with smaller and larger size of the separation region, respectively. Furthermore, the instantaneous separation line exhibits large-scale undulations that conform to the low- and high-speed regions in the upstream boundary layer. The low-frequency unsteadiness of the separation region/shock foot observed in numerous previous studies can be explained by a turbulent mechanism that includes these elongated regions of uniform momentum.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 585 , 25 August 2007 , pp. 369 - 394
Copyright
Copyright © Cambridge University Press 2007

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References

REFERENCES

Adrian, R. J., Meinhart, C. D. & Tomkins, C. D. 2000 Vortex organization in the outer region of the turbulent boundary layer. J. Fluid Mech. 422, 1–53.CrossRefGoogle Scholar
Agui, J. H. 1998 Shock wave interactions with turbulence and vortices. PhD thesis, City University, New York.Google Scholar
del Alamo, J. C., Jimenez, J., Zandonade, P. & Moser, R. D. 2004 Scaling of the energy spectra of turbulent channels. J. Fluid Mech. 500, 135–144.CrossRefGoogle Scholar
Andreopoulos, J. & Muck, K. C. 1987 Some new aspects of the shock-wave boundary layer interaction. J. Fluid Mech. 180, 405–428.CrossRefGoogle Scholar
Andreopoulos, Y., Agui, J. H. & Briassulis, G. 2000 Shock wave—turbulence interactions. Annu. Rev. Fluid Mech. 32, 309–345.CrossRefGoogle Scholar
Austin, R. G. 2001 Effect of upstream pulsed mass injection on a Mach 2 shockwave–turbulent boundary layer interaction. Master's thesis. Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, Texas, USA.Google Scholar
Beresh, S. J., Clemens, N. T. & Dolling, D. S. 2002 Relationship between upstream turbulent boundary-layer velocity fluctuations and separation shock unsteadiness. AIAA J. 40, 2412–2422.CrossRefGoogle Scholar
Brusniak, L. & Dolling, D. S. 1994 Physics of unsteady blunt-fin-induced shock wave-turbulent boundary layer interactions. J. Fluid Mech. 273, 375–409.CrossRefGoogle Scholar
Bueno, P. C., Ganapathisubramani, B., Clemens, N. T. & Dolling, D. S. 2005 Cinematographic planar imaging of a Mach 2 shock wave turbulent boundary layer interaction. AIAA Paper 2005-0441.CrossRefGoogle Scholar
Dolling, D. S. 1993 Fluctuating loads in shock wave-turbulent boundary layer: Tutorial and Update. AIAA Paper 1993-0284.Google Scholar
Dolling, D. S. 1998 High-speed turbulent separated flows: Consistency of mathematical models and flow physics. AIAA J. 36, 725–732.CrossRefGoogle Scholar
Dolling, D. S. 2001 Fifty years of shock-wave/boundary-layer interaction research: What next? AIAA J. 39, 1517–1531.Google Scholar
Dolling, D. S. & Brusniak, L. 1989 Separation shock motion in fin, cylinder and compression ramp induced turbulent interactions. AIAA J. 27, 734–742.CrossRefGoogle Scholar
Dussauge, J. P. 2001 Compressible turbulence and energetic scales: What is known from experiments in supersonic flows? Flow, Turbulence Combust. 66, 373–391.Google Scholar
Dussauge, J. P., Dupont, P. & Debieve, J. F. 2006 Unsteadiness in shock wave boundary layer interactions with separation. Aero. Sci. Technol. 10, 85–91.CrossRefGoogle Scholar
Elena, M. & Lacharme, J. P. 1988 Experimental study of a supersonic turbulent boundary layer using a laser doppler anemometer. J. Theoret. Appl. Mech. 7, 175–190.Google Scholar
Erengil, M. E. & Dolling, D. S. 1993 Physical causes of separation shock unsteadiness in shock wave/turbulent boundary layer interactions. AIAA Paper 1993-3134.Google Scholar
Ganapathisubramani, B., Clemens, N. T. & Dolling, D. S. 2006 Large scale motions in a supersonic turbulent boundary layer. J. Fluid Mech. 556, 271–282.CrossRefGoogle Scholar
Ganapathisubramani, B., Longmire, E. K. & Marusic, I. 2003 Characteristics of vortex packets in turbulent boundary layers. J. Fluid Mech. 478, 35–46.CrossRefGoogle Scholar
Hou, Y. X. 2003 Particle image velocimetry study of shock induced turbulent boundary layer separation. PhD thesis, Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, Texas, USA.CrossRefGoogle Scholar
Hou, Y. X., Clemens, N. T. & Dolling, D. S. 2003 Wide-field PIV study of shock-induced turbulent boundary layer separation. AIAA Paper 2003-0441.CrossRefGoogle Scholar
Hutchins, N., Ganapathisubramani, B. & Marusic, I. 2004 Dominant spanwise Fourier modes and existence of very large scale coherence in turbulent boundary layers. In 15th Australasian Fluid Mechanics Conference, December 13–17, Sydney, Australia.CrossRefGoogle Scholar
Hutchins, N. & Marusic, I. 2007 Evidence of very long meandering features in the logarithmic region of turbulent boundary layers. J. Fluid Mech. 579, 1–28.Google Scholar
Kim, K. C. & Adrian, R. J. 1999 Very large-scale motion in the outer layer. Phys. Fluids 11, 417–422.CrossRefGoogle Scholar
Kistler, A. L. 1959 Fluctuation measurements in supersonic turbulent boundary layer. Phys. Fluids 2, 290–296.CrossRefGoogle Scholar
Lee, L., Lele, S. K. & Moin, P. 1993 Direct numerical simulation of isotropic turbulence interacting with a weak shock wave. J. Fluid Mech. 251, 533–562.CrossRefGoogle Scholar
Loginov, M., Adams, N. & Zheltovodov, A. 2004 Large-eddy simulation of shock-wave/turbulent boundary layer interaction. In 21st ICTAM, August 15–21, Warsaw, Poland.Google Scholar
McClure, W. B. 1992 An experimental study of the driving mechanism and control of the unsteady shock induced turbulent separation in a Mach 5 compression corner flow. PhD thesis, Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, Texas, USA.Google Scholar
Owen, F. K. & Horstmann, C. C. 1972 On the structure of hypersonic turbulent boundary layers. J. Fluid Mech. 53, 611–636.CrossRefGoogle Scholar
Pirozzoli, S. & Grasso, F. 2006 Direct numerical simulation of impinging shock wave/turbulent boundary layer interaction at M = 2.25. Phys. Fluids 18, 065113.CrossRefGoogle Scholar
Plotkin, K. J. 1975 Shock wave oscillation driven by turbulent boundary layer fluctuations. AIAA J. 13, 1036–1040.CrossRefGoogle Scholar
Poggie, J. & Smits, A. J. 2005 Experimental evidence for Plotkin model of shock unsteadiness in separated flow. Phys. Fluids 17, 018107.CrossRefGoogle Scholar
Samimy, M., Arnette, S. A. & Elliot, G. S. 1994 Streamwise structures in a supersonic turbulent boundary layer. Phys. Fluids 6, 1081–1083.Google Scholar
Samimy, M. & Lele, S. K. 1991 Motion of particles with inertia in a compressible free shear layer. Phys. Fluids A 3, 1915–1923.CrossRefGoogle Scholar
Smith, M. W. & Smits, A. J. 1995 Visualization of the structure of supersonic turbulent boundary layers. Exp. Fluids 18, 288–302.CrossRefGoogle Scholar
Smits, A. J. & Dussauge, J. P. 1996 Turbulent Shear Layers in Supersonic Flow. American Institute of Physics Press.Google Scholar
Smits, A. J., Spina, E. F., Alving, A. E., Smith, R. W., Fernando, E. M. & Donovan, J. F. 1989 A comparison of the turbulence structure of subsonic and supersonic boundary layers. Phys. Fluids A 1, 1865–1875.CrossRefGoogle Scholar
Spencer, A. & Hollis, D. 2005 Correcting for sub-grid filtering effects in particle image velocimetry data. Meas. Sci. Technol. 40, 2323–2335.Google Scholar
Spina, E. F. 1988 Organized structures in a supersonic turbulent boundary layer. PhD thesis, Department of Mechanical and Aerospace Engineering, Princeton University, NJ, USA.Google Scholar
Tomkins, C. D. & Adrian, R. J. 2003 Spanwise structure and scale growth in turbulent boundary layers. J. Fluid Mech. 490, 37–74.Google Scholar
Ünalmis, O. H. & Dolling, D. S. 1994 Decay of wall pressure field and structure of a Mach 5 adiabatic turbulent boundary layer. AIAA Paper 94-2363.CrossRefGoogle Scholar
Ünalmis, O. H. & Dolling, D. S. 1998 Experimental study of causes of unsteadiness of shock induced turbulent separation. AIAA J. 36, 371–378.CrossRefGoogle Scholar
Wu, M., Booke, P., Martin, M. P. & Smits, A. J. 2005 Analysis of shockwave/turbulent boundary layer interactions using DNS and experimental data. AIAA Paper 2005-0310.Google Scholar
Zheltovodov, A. 2006 Some advances in research of shock wave turbulent boundary layer interactions. AIAA Paper 2006-0496.Google Scholar