Effect of glow discharge on hypersonic flat plate boundary layer

doi:10.1007/s10483-019-2424-9

Abstract

Abstract: Glow discharge is introduced as an artificial disturbance to investigate the evolution of first-and second-mode instabilities in a hypersonic flat plate boundary layer. Experiments are conducted in a Mach 6.5 quiet wind tunnel using Rayleigh scattering visualization and particle image velocimetry (PIV). Detailed analysis of the experimental observations is provided. It is found that the artificially introduced 17 kHz disturbance, which belongs to the first-mode frequency band, can effectively enhance first-mode waves. Moreover, it can enhance second-mode waves even more intensely. Possible mechanisms to explain this phenomenon are discussed.

Key words: Singular perturbation, limit equation, elliptic equation, particle image velocimetry (PIV), glow discharge, hypersonic

2010 MSC Number:

76K05
76N20

Chi LI, Yunchi ZHANG. Effect of glow discharge on hypersonic flat plate boundary layer. Applied Mathematics and Mechanics (English Edition), 2019, 40(2): 249-260.

TrendMD

References

[1] RESHOTKO, E. Boundary-layer stability and transition. Annual Review of Fluid Mechanics, 8, 311-349(1976)
[2] FEDOROV, A. Transition and stability of high-speed boundary layers. Annual Review of Fluid Mechanics, 43, 79-95(2011)
[3] LEE, C. B. and WU, J. Z. Transition in wall-bounded flows. Applied Mechanics Reviews, 61, 030802(2008)
[4] LEE, C. B. and LI, R. Q. Dominant structure for turbulent production in a transitional boundary layer. Journal of Turbulence, 8, 1-34(2007)
[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)
[6] 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)
[7] LEE, C. B. Possible universal transitional scenario in a flat plate boundary layer:measurement and visualization. Physical Review E, 62, 3659-3670(2000)
[8] LEE, C. B. New features of CS solitons and the formation of vortices. Physics Letters A, 247, 397-402(1998)
[9] MENG, Q. G., CAI, Q. D., and LEE, C. B. Limitation for the energy spectrum analysis for the understanding of the turbulent cascade. Acta Physica Sinica, 53, 3090-3093(2004)
[10] YANG, Y., PULLIN, D. I., and BERMEJO-MORENO, I. Multi-scale geometric analysis of Lagrangian structures in isotropic turbulence. Journal of Fluid Mechanics, 654, 233-270(2010)
[11] YANG, Y. and PULLIN, D. I. On Lagrangian and vortex-surface fields for flows with Taylor-Green and Kida-Pelz initial conditions. Journal of Fluid Mechanics, 661, 446-481(2010)
[12] YANG, Y. and PULLIN, D. I. Evolution of vortex-surface fields in viscous Taylor-Green and Kida-Pelz flows. Journal of Fluid Mechanics, 685, 146-164(2011)
[13] MACK, L. M. Boundary-layer stability theory. Jet Propulsion Laboratory Document, No. 900-277(1969)
[14] FEDOROV, A., SHIPLYUK, A., MASLOV, A., BUROV, E., and MALMUTH, N. Stabilization of a hypersonic boundary layer using an ultrasonically absorptive coating. Journal of Fluid Mechanics, 479, 99-124(2003)
[15] SARIC, W. S., REED, H. L., and KERSCHEN, E. J. Boundary-layer receptivity to freestream disturbances. Annual Review of Fluid Mechanics, 34, 291-319(2002)
[16] JIANG, X. Y. and LEE, C. B. Review of research on the receptivity of hypersonic boundary layer. Journal of Experiments in Fluid Mechanics, 31, 1-11(2017)
[17] ZHONG, X. L. and WANG, X. W. Direct numerical simulation on the receptivity, instability, and transition of hypersonic boundary layers. Annual Review of Fluid Mechanics, 44, 527-561(2012)
[18] MALIK, M. R. Prediction and control of transition in supersonic and hypersonic boundary layers. AIAA Journal, 27, 1487-1493(1989)
[19] 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)
[20] DONG, M. and LUO, J. S. Mechanism of transition in a hypersonic sharp cone boundary layer with zero angle of attack. Applied Mathematics and Mechanics (English Edition), 28(8), 1019-1028(2007) https://doi.org/10.1007/s10483-007-0804-2
[21] KENDALL, J. M. Wind tunnel experiments relating to supersonic and hypersonic boundary-layer transition. AIAA Journal, 13, 290-299(1975)
[22] KIMMEL, R. L., DEMETRIADES, A., and DONALDSON, J. C. Space-time correlation measurements in a hypersonic transitional boundary layer. AIAA Journal, 34, 2484-2489(1996)
[23] STETSON, K., THOMPSON, E., DONALDSON, J., and SILER, L. Laminar boundary layer stability experiments on a cone at Mach 8. I-sharp cone. 16th Fluid and Plasmadynamics Conference, American Institute of Aeronautics and Astronautics, Reston (1983)
[24] 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)
[25] 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)
[26] LEE, C. B. and CHEN, S. Y. A review of recent progress in the study of transition in hypersonic boundary layer. National Science Review, nwy052(2018)
[27] 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)
[28] ZHANG, C. H. and LEE, C. B. Rayleigh-scattering visualization of the development of secondmode waves. Journal of Visualization, 20, 7-12(2017)
[29] ZHANG, C. H., TANG, Q., and LEE, C. B. Hypersonic boundary-layer transition on a flared cone. Acta Mechanica Sinica, 29, 48-53(2013)
[30] 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)
[31] 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)
[32] 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)
[33] 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)
[34] 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)
[35] JIA, L. C., ZOU, T. D., ZHU, Y. D., and LEE, C. B. Rotor boundary layer development with inlet guide vane (IGV) wake impingement. Physics of Fluids, 30, 040911(2018)