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中文核心期刊
Tong Fulin, Duan Junyi, Zhou Guiyu, Li Xinliang. Statistical characteristics of pressure fluctuation in shock wave and turbulent boundary layer interaction. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(7): 1829-1841. DOI: 10.6052/0459-1879-21-094
Citation: Tong Fulin, Duan Junyi, Zhou Guiyu, Li Xinliang. Statistical characteristics of pressure fluctuation in shock wave and turbulent boundary layer interaction. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(7): 1829-1841. DOI: 10.6052/0459-1879-21-094

STATISTICAL CHARACTERISTICS OF PRESSURE FLUCTUATION IN SHOCK WAVE AND TURBULENT BOUNDARY LAYER INTERACTION

  • Received Date: March 07, 2021
  • Accepted Date: May 17, 2021
  • Available Online: May 17, 2021
  • Shock wave and turbulent boundary layer interaction widely exists in the internal and external flow of high-speed aircraft. The aerodynamic performance and flight safety of aircraft are seriously affected by the strong pressure fluctuation in the interaction region. To investigate statistical characteristics of fluctuating pressure, the interaction between an incident shock of 33.2° and a spatially developed Mach 2.25 turbulent boundary layer is analyzed by means of direct numerical simulation (DNS). The numerical results have been carefully validated against with previous experiment and DNS at similar flow conditions in terms of mean velocity profile, turbulence intensity and wall pressure distribution. Statistics at the wall and in the outer layer, including fluctuation intensity, power spectral density, two-point correlation and space-time correlation, are quantitatively compared. The differences between them are analyzed in detail. It is found that the effect of the shock interaction on the wall-pressure fluctuation and the fluctuating pressure in the outer layer are utterly different. Based on the analysis of the power spectra density, the fluctuations in the separated region are both characterized by the low-frequency content, but in the reattachment region, the peak frequency of outer pressure fluctuations quickly shifts to higher frequency, with the low-frequency energy of wall-pressure fluctuation still being predominant. It is identified that the two-point correlations of pressure fluctuation at the wall and in the outer layer are both more elongated in the spanwise direction than that in the streamwise direction. The integral scale at the wall is generally increased, while the one in the outer layer increases sharply after passing the shock and then gradually decreases. The analysis of space-time correlation indicates that the iso-correlation contours are similar to the elliptical distribution and the convection velocity deduced by the correlation is dramatically decreased. Downstream of the interaction, the convection velocity in the outer layer is higher than that of wall-pressure fluctuation.
  • [1]
    Dolling DS. Fifty years of shock-wave/boundary-layer interaction research: What next? AIAA Journal, 2001, 39(8): 1517-1530 doi: 10.2514/2.1476
    [2]
    Gaitonde DV. Progress in shock wave/boundary layer interactions. Progress in Aerospace Sciences, 2015, 72: 80-99 doi: 10.1016/j.paerosci.2014.09.002
    [3]
    Settles GS, Fitzpatrick TJ. Detailed study of attached and separated compression corner flowfields in high Reynolds number supersonic flow. AIAA Journal, 1979, 17(6): 579-585 doi: 10.2514/3.61180
    [4]
    Ringuette MJ, Wu M, Martin MP. Low Reynolds number effects in a Mach 3 shock and turbulent boundary layer interaction. AIAA Journal, 2008, 46(7): 1884-1887
    [5]
    Erengil ME, Dolling DS. Unsteady wave structure near separation in a Mach 5 compression ramp interaction. AIAA Journal, 1991, 29(5): 728-735 doi: 10.2514/3.10647
    [6]
    Dolling DS, Brusniak L. Separation shock motion in fin, cylinder, and compression ramp induced turbulent interactions. AIAA Journal, 1989, 27(6): 734-742
    [7]
    Selig MS, Andreopoulos J, Muck KC, et al. Turbulence structure in a shock wave/turbulent boundary layer interaction. AIAA Journal, 1989, 27(6): 862-869
    [8]
    Piponniau S, Collin E, Dupont P, et al. Reconstruction of velocity fields from wall pressure measurements in a shock wave / turbulent boundary layer interaction. International Journal of Heat and Fluids Flow, 2012, 35: 176-186 doi: 10.1016/j.ijheatfluidflow.2012.02.006
    [9]
    Pirozzoli S, Grasso F. Direct numerical simulation of impinging shock wave turbulent boundary layer interaction at M=2.25. Physics of Fluids, 2006, 18: 065113 doi: 10.1063/1.2216989
    [10]
    Bernardini M, Pirozzoli S, Grasso F. The wall pressure signature of transonic shock/boundary layer interaction. Journal of Fluid Mechanics, 2011, 671: 288-312 doi: 10.1017/S0022112010005677
    [11]
    Volpiani PS, Bernardini M, Larsson J. Effect of a nonadiabatic wall on supersonic shock/boundary-layer interactions. Physical Review Fluids, 2018, 3: 083401 doi: 10.1103/PhysRevFluids.3.083401
    [12]
    Tong FL, Yu CP, Tang ZG, et al. Numerical studies of shock wave interactions with a supersonic turbulent boundary layer in compression corner: Turning angle effects. Computers and Fluids, 2017, 149: 56-69 doi: 10.1016/j.compfluid.2017.03.009
    [13]
    Tong FL, Tang ZG, Yu CP, et al. Numerical analysis of shock wave and supersonic turbulent boundary interaction between adiabatic and cold walls. Journal of Turbulence, 2017, 18(6): 569-588 doi: 10.1080/14685248.2017.1311017
    [14]
    童福林, 孙东, 袁先旭等. 超声速膨胀角入射激波/湍流边界层干扰直接数值模拟. 航空学报, 2020, 41(3): 123328 (Tong Fulin, Sun Dong, Yuan Xianxu, et al. Direct numerical simulation of impinging shock wave/turbulent boundary layer interaction in a supersonic expansion corner. Acta Aeronautica et Astronautica Sinica, 2020, 41(3): 123328 (in Chinese)
    [15]
    童福林, 周桂宇, 孙东等. 膨胀效应对激波/湍流边界层干扰的影响. 航空学报, 2020, 41(9): 123731 (Tong Fulin, Zhou Guiyu, Sun Dong, et al. Expansion effect on shock wave and turbulent boundary layer interactions. Acta Aeronautica et Astronautica Sinica, 2020, 41(9): 123731 (in Chinese)
    [16]
    Duan L, Choudhari MM, Zhang C. Pressure fluctuations induced by a hypersonic turbulent boundary layer. Journal of Fluid Mechanics, 2016, 804: 578-607 doi: 10.1017/jfm.2016.548
    [17]
    Dupont P, Haddad C, Debieve JF. Space and time organization in a shock-induced separated boundary layer. Journal of Fluid Mechanics, 2006, 559: 255-277 doi: 10.1017/S0022112006000267
    [18]
    Fang J, Zheltovodov AA, Yao Y F, et al. On the turbulence amplification in shock-wave/turbulent boundary layer interaction. Journal of Fluid Mechanics, 2020, 897: A32 doi: 10.1017/jfm.2020.350
    [19]
    Tong FL, Li XL, Duan YH, et al. Direct numerical simulation of supersonic turbulent boundary layer subjected to a curved compression ramp. Physics of Fluids, 2017, 29: 125101 doi: 10.1063/1.4996762
    [20]
    Li XL, Fu DX, Ma YW, et al. Direct numerical simulation of shock/turbulent boundary layer interaction in a supersonic compression ramp. Science China Physics, Mechanics and Astronomy, 2010, 53(9): 1651-1658 doi: 10.1007/s11433-010-4034-x
    [21]
    Tong FL, Li XL, Yuan XX, et al. Incident shock wave and supersonic turbulent boundary layer interactions. Computers and Fluids, 2020, 198: 104385 doi: 10.1016/j.compfluid.2019.104385
    [22]
    Martin MP, Taylor EM, Wu M. A bandwidth-optimized WENO scheme for the effective direct numerical simulation of compressible turbulence. Journal of Computational Physics, 2006, 220: 270-289 doi: 10.1016/j.jcp.2006.05.009
    [23]
    Pirozzoli S, Bernardini M, Grasso F. Direct numerical simulation of transonic shock/boundary layer interaction under conditions of incipient separation. Journal of Fluid Mechanics, 2009, 657: 361-393
    [24]
    Wu X, Moin P. Direct numerical simulation of turbulence in a nominally zero-pressure-gradient flat-plate boundary layer. Journal of Fluid Mechanics, 2009, 630: 5-41 doi: 10.1017/S0022112009006624
    [25]
    Spalart PR. Direct numerical simulation of a turbulent boundary layer up to Re θ=1410. Journal of Fluid Mechanics, 1988, 187: 61-98 doi: 10.1017/S0022112088000345
    [26]
    Gravante SP, Naguib AM, Wark CE, et al. Characterization of the pressure fluctuations under a fully developed turbulent boundary layer. AIAA Journal, 1998, 36(10): 1808-1816 doi: 10.2514/2.296
    [27]
    Farabee T, Casarella MJ. Spectral features of wall pressure fluctuations beneath turbulent boundary layers. Physics of Fluids, 1991, 3(10): 2410-2420 doi: 10.1063/1.858179
    [28]
    Bernardini M, Pirozzoli S. Wall pressure fluctuations beneath supersonic turbulent boundary layers. Physics of Fluids, 2011, 23: 085102 doi: 10.1063/1.3622773
    [29]
    Clemens NT, Narayanaswamy V. Low frequency unsteadiness of shock wave turbulent boundary layer interactions. Annual Review of Fluid Mechanics, 2014, 46: 469-492 doi: 10.1146/annurev-fluid-010313-141346
    [30]
    Choi H, Moin P. On the space-time characteristics of wall pressure fluctuations. Physics of Fluids A: Fluid Dynamics, 1990, 2: 1450 doi: 10.1063/1.857593
    [31]
    Kim J. On the structure of pressure fluctuations in simulated turbulent channel flow. Journal of Fluid Mechanics, 1989, 205: 421-451 doi: 10.1017/S0022112089002090
    [32]
    Na Y, Moin P. The structure of wall-pressure fluctuations in turbulent boundary layer with adverse pressure gradient and separation. Journal of Fluid Mechanics, 1998, 377: 347-373 doi: 10.1017/S0022112098003218
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