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Effect of streak employing control of oblique-breakdown in a supersonic boundary layer with weak wall heating/cooling

M. Celep, A. Hadjadj, and M. S. Shadloo*

S. Sharma

M. Yildiz

M. J. Kloker

  • CORIA-UMR 6614, CNRS-University, INSA of Rouen and Normandie University, 76000 Rouen, France

  • Johnson & Johnson (JJSBF), Campus de Maigremont, 27100 Val-de-Reuil, France

  • Integrated Manufacturing Technologies Research and Application Center & Faculty of Engineering and Natural Sciences, Sabanci University, Orhanli, Tuzla, Istanbul 34956, Turkey

  • Institute of Aerodynamics and Gas Dynamics, University of Stuttgart, 70550 Stuttgart, Germany

  • *msshadloo@coria.fr

Phys. Rev. Fluids 7, 053904 – Published 31 May, 2022

DOI: https://doi.org/10.1103/PhysRevFluids.7.053904

Abstract

Contrary to incompressible flows, there has been an immense research gap in the flow transition control using velocity streaks for supersonic flows. The first direct numerical simulations (DNS) study in this direction was conducted at Mach 2.0 for an adiabatic wall condition and showed that effective control could be provided by employing streak modes having four to five times the fundamental wave number of the most amplified oblique disturbance waves. However, the application range of the method in terms of the control amplitude is studied roughly and only for adiabatic walls. The present study scrutinizes the controlling capability of these decaying streak modes under the influence of both adiabatic and weak wall heating/cooling by means of DNS. The stabilizing/destabilizing influence of the control streaks in combination with different thermal boundary conditions in a perturbed boundary layer is shown. The effective range of the streak amplitudes under the given flow conditions is presented both for adiabatic and isothermal wall conditions. No significant impact of the wall-boundary condition on the control-streak development is observed in the sustainable flow control range, but the useful control-streak amplitude range diminishes with wall heating.

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References (38)

  1. M. M. Choudhari, F. Li, M. D. Bynum, M. A. Kegerise, and R. A. King, Computations of disturbance amplification behind isolated roughness elements and comparison with measurements, in Proceedings of the 45th AIAA Fluid Dynamics Conference (AIAA, Dallas, TX, 2015), p. 2625.
  2. A. Fedorov, Transition and stability of high-speed boundary layers, Annu. Rev. Fluid Mech. 43, 79 (2011).
  3. P. S. Klebanoff, K. Tidstrom, and L. Sargent, The three-dimensional nature of boundary-layer instability, J. Fluid Mech. 12, 1 (1962).
  4. T. Herbert, Secondary instability of boundary layers, Annu. Rev. Fluid Mech. 20, 487 (1988).
  5. A. Thumm, Numerische Untersuchungen zum laminar-turbulenten Strömungsumschlag in transsonichen Grenzschitströmungen, Ph.D. thesis, University of Stuttgart, 1991.
  6. H. Fasel, A. Thumm, and H. Bestek, Direct numerical simulation of transition in supersonic boundary layers: Oblique breakdown, in Proceedings of the Fluids Engineering Conference (ASME, New York, 1993), pp. 77–92.
  7. C.-L. Chang and M. R. Malik, Oblique-mode breakdown and secondary instability in supersonic boundary layers, J. Fluid Mech. 273, 323 (1994).
  8. H. Bestek, A. Thumm, and M. Kloker, Realistic numerical simulation of boundary-layer transition experiments, in Computational Fluid Dynamics (John Wiley & Sons, New York, 1994), pp. 463–470.
  9. A. Fezer and M. Kloker, Spatial direct numerical simulation of transition phenomena in supersonic flat-plate boundary layers, in Laminar-Turbulent Transition (Springer, Berlin, 2000), pp. 415–420.
  10. F. Husmeier, C. Mayer, and H. Fasel, Investigation of transition of supersonic boundary layers at mach 3 using dns, in Proceedings of the 43rd AIAA Aerospace Sciences Meeting and Exhibit (AIAA, Reno, Nevada, 2005), p. 95.
  11. C. S. Mayer, D. A. Von Terzi, and H. F. Fasel, Direct numerical simulation of complete transition to turbulence via oblique breakdown at mach 3, J. Fluid Mech. 674, 5 (2011).
  12. A. C. Laible and H. F. Fasel, Continuously forced transient growth in oblique breakdown for supersonic boundary layers, J. Fluid Mech. 804, 323 (2016).
  13. P. Wassermann and M. Kloker, Mechanisms and passive control of crossflow-vortex-induced transition in a three-dimensional boundary layer, J. Fluid Mech. 456, 49 (2002).
  14. C. Cossu and L. Brandt, Stabilization of tollmien–schlichting waves by finite amplitude optimal streaks in the blasius boundary layer, Phys. Fluids 14, L57 (2002).
  15. J. H. Fransson, L. Brandt, A. Talamelli, and C. Cossu, Experimental study of the stabilization of tollmien–schlichting waves by finite amplitude streaks, Phys. Fluids 17, 054110 (2005).
  16. J. H. M. Fransson, A. Talamelli, L. Brandt, and C. Cossu, Delaying Transition to Turbulence by a Passive Mechanism, Phys. Rev. Lett. 96, 064501 (2006).
  17. S. Bagheri and A. Hanifi, The stabilizing effect of streaks on tollmien-schlichting and oblique waves: A parametric study, Phys. Fluids 19, 078103 (2007).
  18. S. Shahinfar, S. S. Sattarzadeh, J. H. M. Fransson, and A. Talamelli, Revival of Classical Vortex Generators Now for Transition Delay, Phys. Rev. Lett. 109, 074501 (2012).
  19. P. C. Dörr and M. J. Kloker, Numerical investigations on tollmien–schlichting wave attenuation using plasma-actuator vortex generators, AIAA J. 56, 1305 (2018).
  20. P. Paredes, M. M. Choudhari, and F. Li, Instability wave-streak interactions in a supersonic boundary layer, J. Fluid Mech. 831, 524 (2017).
  21. S. Sharma, M. S. Shadloo, A. Hadjadj, and M. J. Kloker, Control of oblique-type breakdown in a supersonic boundary layer employing streaks, J. Fluid Mech. 873, 1072 (2019).
  22. S. Kneer, Z. Guo, and M. J. Kloker, Control of laminar breakdown in a supersonic boundary layer employing streaks, J. Fluid Mech. 932, A53 (2022).
  23. S. Kneer, Control of laminar breakdown in a supersonic boundary layer employing streaks, Master's thesis, Institute of Aerodynamics and Gas Dynamics, University of Stuttgart, 2020.
  24. A. Wazzan and H. Taghavi, The effect of heat transfer on three-dimensional spatial stability and transition of flat plate boundary layer at mach 3, Int. J. Heat Mass Transf. 25, 1321 (1982).
  25. V. I. Lysenko and A. A. Maslov, The effect of cooling on supersonic boundary-layer stability, J. Fluid Mech. 147, 39 (1984).
  26. S. Sharma, Laminar-to-turbulent transition in supersonic boundary layer: Different scenarios and possible control, Ph.D. thesis, Normandie Université, 2019.
  27. M. Shadloo, A. Hadjadj, and F. Hussain, Statistical behavior of supersonic turbulent boundary layers with heat transfer at m=2, Int. J. Heat Fluid Flow 53, 113 (2015).
  28. M. Kloker, Direkte numerische Simulation des laminar-turbulenten Strömungsumschlages in einer stark verzögerten Grenzschicht, Ph.D. thesis, Fakultat Verfahrenstechnik Universitat Stuttgart, 1993.
  29. F. M. White and I. Corfield, Viscous Fluid Flow, Vol. 3 (McGraw–Hill New York, 2006).
  30. M. Shadloo and A. Hadjadj, Laminar-turbulent transition in supersonic boundary layers with surface heat transfer: A numerical study, Numer. Heat Transf. A 72, 40 (2017).
  31. J. L. Potter, Review of the influence of cooled walls on boundary-layer transition, AIAA J. 18, 1010 (1980).
  32. I. Lienhard and H. John, A Heat Transfer Textbook (Phlogiston Press, Cambridge, Massachusetts, 2005).
  33. H. Schlichting and K. Gersten, Boundary-layer Theory (Springer, Berlin, 2016).
  34. T. C. J. Cousteix, Modeling and Computation of Boundary-layer Flows (Springer, Berlin, 2005).
  35. J. Crouch, Receptivity issues for laminar-flow control, in Proceedings of the IUTAM Symposium on Mechanics of Passive and Active Flow Control (Springer, Berlin, 1999), pp. 151–158.
  36. J. C. R. Hunt, A. A. Wray, and P. Moin, Eddies, stream, and convergence zones in turbulent flows, in Proceedings of the Summer Program (Center for Turbulence Research, Stanford, 1988).
  37. P. Paredes, M. M. Choudhari, and F. Li, Nonlinear transient growth and boundary layer transition, in Proceedings of the 46th AIAA Fluid Dynamics Conference (AIAA, Washington, D.C., 2016), p. 3956.
  38. P. Paredes, M. M. Choudhari, and F. Li, Transition due to streamwise streaks in a supersonic flat plate boundary layer, Phys. Rev. Fluids 1, 083601 (2016).

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