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Transition control of Mach 6.5 hypersonic flat plate boundary layer

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Abstract

An artificial disturbance is introduced into the boundary layer over a flat plate to investigate the effect on the transition process in the Mach 6.5 wind tunnel at Peking University. A linear stability theory (LST) is utilized to predict the evolution of the eigenmodes, and the frequency of the artificial disturbance is chosen according to the LST results. The artificial disturbance is generated by glowing discharge on the surface of the plate close to the leading edge. The Rayleigh-scattering visualization and particle image velocimetry (PIV) measurements are performed. By comparing the experimental results with artificial disturbances with those under the natural condition (without artificial disturbances), the present paper shows that the second-mode instability waves are significantly stimulated by the artificial disturbances, and the boundary layer transition is effectively triggered.

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Abbreviations

T 0 :

total temperature, K

p 0 :

total pressure, Pa

U ∞ :

free-stream velocity, m/s

Re ∞ :

unit Reynolds number, m-1

x :

streamwise location from the leading edge, mm

y :

wall normal coordinate, mm

f :

frequency, Hz

α :

normalized streamwise wavenumber

β :

normalized spanwise wavenumber

ω :

normalized frequency

ψ :

propagation angle of the eigenmode, (°)

U′:

velocity amplitude of the eigenmode wave, m/s

c r :

phase velocity of the eigenmode, m/s

δ :

thickness of the boundary layer, mm.

References

  1. MORKOVIN, M. V., RESHOTKO, E., and HERBERT, T. Transition in open flow systems: a reassessment. Bulletin of American Physical Society, 39, 1–31 (1994)

    Google Scholar 

  2. FEDOROV, A. Transition and stability of high-speed boundary layers. Annual Review of Fluid Mechanics, 43, 79–95 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  3. JIANG, X. Y. and LEE, C. B. Review of research on the receptivity of hypersonic boundary layer (in Chinese). Journal of Experiments in Fluid Mechanics, 31, 1–11 (2017)

    Google Scholar 

  4. LEE, C. B. New features of CS solitons and the formation of vortices. Physics Letters A, 247, 397–402 (1998)

    Article  Google Scholar 

  5. LEE, C. B. and FU, S. On the formation of the chain of ring-like vortices in a transitional boundary layer. Experiments in Fluids, 30, 354–357 (2001)

    Article  Google Scholar 

  6. LEE, C. B. Possible universal transitional scenario in a flat plate boundary layer: measurement and visualization. Physical Review E, 62, 3659–3670 (2000)

    Article  Google Scholar 

  7. LEE, C. B., HONG, Z. X., KACHANOV, Y. S., BORODULIN, V. I., and GAPONENKO, V. V. A study in transitional flat plate boundary layers: measurement and visualization. Experiments in Fluids, 28, 243–251 (2000)

    Article  Google Scholar 

  8. LEE, C. B. and LI, R. Q. Dominant structure for turbulent production in a transitional boundary layer. Journal of Turbulence, 8, N55 (2007)

    Article  Google Scholar 

  9. LEE, C. B. and WU, J. Z. Transition in wall-bounded flows. Advances in Mechanics, 61, 683–695 (2008)

    Google Scholar 

  10. MACK, L. M. Linear stability theory and the problem of supersonic boundary-layer transition. AIAA Journal, 13, 278–289 (1975)

    Article  Google Scholar 

  11. STETSON, K., KIMMEL, R., DONALDSON, J., and SILER, L. A comparison of planar and conical boundary layer stability and transition at a Mach number of 8. 22nd Fluid Dynamics, Plasma Dynamics and Lasers Conference, AIAA, Honolulu, HI, U. S. A. (1991)

    Google Scholar 

  12. BOUNTIN, D. A., SIDORENKO, A. A., and SHIPLYUK, A. N. Development of natural disturbances in a hypersonic boundary layer on a sharp cone. Journal of Applied Mechanics and Technical Physics, 42, 57–62 (2001)

    Article  Google Scholar 

  13. CHEN, X., ZHU, Y. D., and LEE, C. B. Interactions between second mode and low-frequency waves in a hypersonic boundary layer. Journal of Fluid Mechanics, 820, 693–735 (2017)

    Article  MathSciNet  MATH  Google Scholar 

  14. DEMETRIADES, A. An experiment on the stability of hypersonic laminar boundary layers. Journal of Fluid Mechanics, 7, 385–396 (1960)

    Article  MATH  Google Scholar 

  15. KOSINOV, A. D., MASLOV, A. A., and SHEVELKOV, S. G. Experiments on the stability of supersonic laminar boundary layers. Journal of Fluid Mechanics, 219, 621–633 (1990)

    Article  Google Scholar 

  16. SEMIONOV, N. V., KOSINOV, A. D., and MASLOV, A. A. Transition control of supersonic boundary layer on flat plate. IUTAM Symposium on Mechanics of Passive and Active Flow Control, Springer, Berlin, 323–328 (1999)

    Chapter  Google Scholar 

  17. KASTELL, D. and SHIPLYUK, A. N. Experimental technique for the investigation of artificially generated disturbances in planar laminar hypersonic boundary layers. Aerospace Science and Technology, 3, 345–354 (1999)

    Article  MATH  Google Scholar 

  18. SEMIONOV, N. V. and KOSINOV, A. D. Experimental study of supersonic boundary layer receptivity in controlled conditions. Laminar-Turbulent Transition, Springer, Berlin, 451–456 (2000)

    Chapter  Google Scholar 

  19. MASLOV, A. A., SHIPLYUK, A. N., SIDORENKO, A. A., and ARNAL, D. Leading-edge receptivity of a hypersonic boundary layer on a flat plate. Journal of Fluid Mechanics, 426, 73–94 (2001)

    Article  MATH  Google Scholar 

  20. HUANG, Z. F., CAO, W., and ZHOU, H. The breakdown mechanism of laminar flow into turbulence in the transition process of supersonic boundary layer over a flat plate-temporal mode (in Chinese). Science China G, 35, 537–547 (2005)

    Google Scholar 

  21. LEE, C. B. and CHEN, S. Y. A review of recent progress in the study of transition in hypersonic boundary layer. National Science Review (2018) https://doi.org/10.1093/nsr/nwy052

    Google Scholar 

  22. LI, C. and ZHANG, Y. C. Effect of glow discharge on hypersonic flat plate boundary layer. Applied Mathematics and Mechanics (English Edition) (2019) https://doi.org/10.1007/s10483-019-2424-9

    Google Scholar 

  23. AUVITY, B., ETZ, M. R., and SMITS, A. J. Effects of transverse helium injection on hypersonic boundary layers. Physics of Fluids, 13, 3025–3032 (2001)

    Article  MATH  Google Scholar 

  24. POGGIE, J., ERBLAND, P. J., SMITS, A. J., and MILES, R. B. Quantitative visualization of compressible turbulent shear flows using condensate-enhanced Rayleigh scattering. Experiments in Fluids, 37, 438–454 (2004)

    Article  Google Scholar 

  25. ZHU, Y. D., YUAN, H. J., ZHANG, C. H., and LEE, C. B. Image preprocessing method for nearwall particle image velocimetry (PIV) image interrogation with very large in-plane displacement. Measurement Science and Technology, 24, 125302 (2013)

    Article  Google Scholar 

  26. ZHANG, C. H., ZHU, Y. D., CHEN, X., YUAN, H. J., WU, J. Z., CHEN, S. Y., LEE, C. B., and GAD-EL-HAK, M. Transition in hypersonic boundary layers. AIP Advances, 5, 107137 (2015)

    Article  Google Scholar 

  27. TANG, Q., ZHU, Y. D., CHEN, X., and LEE, C. B. Development of second-mode instability in a Mach 6 flat plate boundary layer with two-dimensional roughness. Physics of Fluids, 27, 064105 (2015)

    Article  Google Scholar 

  28. ZHU, Y. D., ZHANG, C. H., CHEN, X., YUAN, H. J., WU, J. Z., CHEN, S. Y., LEE, C. B., and GAD-EL-HAK, M. Transition in hypersonic boundary layers: role of dilatational waves. AIAA Journal, 54, 3039–3049 (2016)

    Article  Google Scholar 

  29. ZHU, Y. D., CHEN, X., WU, J. Z., CHEN, S. Y., LEE, C. B., and GAD-EL-HAK, M. Aerodynamic heating in transitional hypersonic boundary layers: role of second-mode instability. Physics of Fluids, 30, 011701 (2018)

    Article  Google Scholar 

  30. JIA, L. C., ZHU, Y. D., JIA, Y. X., YUAN, H. J., and LEE, C. B. Image pre-processing method for near-wall PIV measurements over moving curved interfaces. Measurement Science and Technology, 28, 035201 (2017)

    Article  Google Scholar 

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Authors and Affiliations

  1. State Key Laboratory for Turbulence and Complex Systems, Peking University, Beijing, 100871, China

    Yunchi Zhang & Chi Li

  2. Department of Aeronautics and Astronautics, College of Engineering, Peking University, Beijing, 100871, China

    Yunchi Zhang & Chi Li

Authors
  1. Yunchi Zhang
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  2. Chi Li
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Corresponding author

Correspondence to Yunchi Zhang.

Additional information

Project supported by the National Natural Science Foundation of China (Nos. 10921202, 11221061, 11632002, 11521091, 91752000, and 11602005)

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Zhang, Y., Li, C. Transition control of Mach 6.5 hypersonic flat plate boundary layer. Appl. Math. Mech.-Engl. Ed. 40, 283–292 (2019). https://doi.org/10.1007/s10483-019-2423-8

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  • DOI: https://doi.org/10.1007/s10483-019-2423-8

Key words

Chinese Library Classification

2010 Mathematics Subject Classification

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