压缩-膨胀湍流边界层平均摩阻分解

doi:10.7527/S1000-6893.2021.25915

Abstract

Abstract: The interaction between the shock wave with Mach number 2.9 and the turbulent boundary layer in the configuration of 24° compression-expansion corners is investigated by using direct numerical simulation. The influence of normal height of the expansion corner on the shock wave interaction region and downstream boundary layer is analyzed. It is found that when the height is large enough, the shock wave interaction region is not affected by the downstream expansion wave, and the characteristics are consistent with those of the traditional compression corner configuration. While the height is small, the reattachment process of the detached shear layer is accelerated by the downstream expansion wave, which causes the reattachment point to move upstream and the separation bubble to shrink dramatically. The decomposition of mean friction drag is applied to the turbulent boundary layer of the upstream and downstream plates, and the difference between the turbulent boundary layer in equilibrium and nonequilibrium state is explored. It is found that the high friction in the expansion corner is mainly related to the C_f1 term and C_f3 term in the decomposition of mean friction drag. The height has little effect on the C_f1 term, while significant effect on the C_f2 term. Height variation is reflected in the contribution of the Görtler vortex and re-laminar phenomenon on the downstream plate to the C_f2 term.

Key words: shock wave/turbulent boundary layer interaction, compression-expansion corner configuration, direct numerical simulation, decomposition of mean friction drag, Görtler vortex

CLC Number:

DUAN Junyi, TONG Fulin, LI Xinliang, LIU Hongwei. Decomposition of mean friction drag in compression-expansion turbulent boundary layer[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(1): 625915.

References

[1] FERRI A. Experimental results with airfoils tested in the high-speed tunnel at Guidonia: NACA-TM-946[C]. Washington, D.C.: NACA, 1940.
[2] DOLLING D S. Fifty years of shock-wave/boundary-layer interaction research: What next?[J]. AIAA Journal, 2001, 39(8): 1517-1531.
[3] SETTLES G S, FITZPATRICK T J, BOGDONOFF S M. Detailed study of attached and separated compression corner flowfields in high Reynolds number supersonic flow[J]. AIAA Journal, 1979, 17(6): 579-585.
[4] DOLLING D S, MURPHY M T. Unsteadiness of the separation shock wave structure in a supersonic compression ramp flowfield[J]. AIAA Journal, 1983, 21(12): 1628-1634.
[5] DOLLING D S, OR C T. Unsteadiness of the shock wave structure in attached and separated compression ramp flows[J]. Experiments in Fluids, 1985, 3(1): 24-32.
[6] BOOKEY P, WYCKHAM C, SMITS A, et al. New experimental data of STBLI at DNS/LES accessible Reynolds numbers: AIAA-2005-0309[R]. Reston: AIAA, 2005.
[7] WU M, MARTÍN M P. Direct numerical simulation of supersonic turbulent boundary layer over a compression ramp[J]. AIAA Journal, 2007, 45(4): 879-889.
[8] LI X L, FU D X, MA Y W, et al. Direct numerical simulation of shock/turbulent boundary layer interaction in a supersonic compression ramp[J]. Science China Physics, Mechanics and Astronomy, 2010, 53(9): 1651-1658.
[9] TONG F L, TANG Z G, YU C P, et al. Numerical analysis of shock wave and supersonic turbulent boundary interaction between adiabatic and cold walls[J]. Journal of Turbulence, 2017, 18(6): 569-588.
[10] TONG F L, YU C P, TANG Z G, et al. Numerical studies of shock wave interactions with a supersonic turbulent boundary layer in compression corner: Turning angle effects[J]. Computers & Fluids, 2017, 149: 56-69.
[11] 童福林, 李欣, 于长平, 等. 高超声速激波湍流边界层干扰直接数值模拟研究[J]. 力学学报, 2018, 50(2): 197-208. TONG F L, LI X, YU C P, et al. Direct numerical simulation of hypersonic shock wave and turbulent boundary layer interactions[J]. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(2): 197-208(in Chinese).
[12] LOGINOV M S, ADAMS N A, ZHELTOVODOV A A. Large-eddy simulation of shock-wave/turbulent-boundary-layer interaction[J]. Journal of Fluid Mechanics, 2006, 565: 135-169.
[13] ZHELTOVODOV A A. Peculiarities of development and modeling possibilities of supersonic turbulent separated flows[M]//Separated Flows and Jets. Berlin, Heidelberg: Springer, 1991: 225-236.
[14] GRILLI M, HICKEL S, ADAMS N A. Large-eddy simulation of a supersonic turbulent boundary layer over a compression-expansion ramp[J]. International Journal of Heat and Fluid Flow, 2013, 42: 79-93.
[15] FANG J, YAO Y F, ZHELTOVODOV A A, et al. Direct numerical simulation of supersonic turbulent flows around a tandem expansion-compression corner[J]. Physics of Fluids, 2015, 27(12): 125104.
[16] RITOS K, DRIKAKIS D, KOKKINAKIS I W, et al. Computational aeroacoustics beneath high speed transitional and turbulent boundary layers[J]. Computers & Fluids, 2020, 203: 104520.
[17] FUKAGATA K, IWAMOTO K, KASAGI N. Contribution of Reynolds stress distribution to the skin friction in wall-bounded flows[J]. Physics of Fluids, 2002, 14(11): L73-L76.
[18] RENARD N, DECK S. A theoretical decomposition of mean skin friction generation into physical phenomena across the boundary layer[J]. Journal of Fluid Mechanics, 2016, 790: 339-367.
[19] LI W P, FAN Y T, MODESTI D, et al. Decomposition of the mean skin-friction drag in compressible turbulent channel flows[J]. Journal of Fluid Mechanics, 2019, 875: 101-123.
[20] MARTÍN M P, TAYLOR E M, WU M, et al. A bandwidth-optimized WENO scheme for the effective direct numerical simulation of compressible turbulence[J]. Journal of Computational Physics, 2006, 220(1): 270-289.
[21] POGGIE J, BISEK N J, GOSSE R. Resolution effects in compressible, turbulent boundary layer simulations[J]. Computers & Fluids, 2015, 120: 57-69.
[22] PIROZZOLI S, GRASSO F, GATSKI T B. Direct numerical simulation and analysis of a spatially evolving supersonic turbulent boundary layer at M=2.25[J]. Physics of Fluids, 2004, 16(3): 530-545.
[23] WU X H, MOIN P. Direct numerical simulation of turbulence in a nominally zero-pressure-gradient flat-plate boundary layer[J]. Journal of Fluid Mechanics, 2009, 630: 5-41.
[24] PIROZZOLI S, BERNARDINI M. Turbulence in supersonic boundary layers at moderate Reynolds number[J]. Journal of Fluid Mechanics, 2011, 688: 120-168.
[25] JEONG J, HUSSAIN F. On the identification of a vortex[J]. Journal of Fluid Mechanics, 1995, 285: 69-94.
[26] PIROZZOLI S, GRASSO F. Direct numerical simulation of impinging shock wave/turbulent boundary layer interaction at M=2.25[J]. Physics of Fluids, 2006, 18(6): 065113.
[27] TERAMOTO S, SANADA H, OKAMOTO K. Dilatation effect in relaminarization of an accelerating supersonic turbulent boundary layer[J]. AIAA Journal, 2017, 55(4): 1469-1474.
[28] FAN Y T, LI W P, PIROZZOLI S. Decomposition of the mean friction drag in zero-pressure-gradient turbulent boundary layers[J]. Physics of Fluids, 2019, 31(8): 086105.
[29] NARASIMHA R, VISWANATH P R. Reverse transition at an expansion corner in supersonic flow[J]. AIAA Journal, 1975, 13(5): 693-695.

Decomposition of mean friction drag in compression-expansion turbulent boundary layer

RichHTML

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments

[1]	Jiang LAI, Zhaolin FAN, Qian WANG, Siwei DONG, Fulin TONG, Xianxu YUAN. Direct numerical simulation of hypersonic cone-flare model at angle of attack [J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(2): 128610-128610.
[2]	Yalu FU, Xianxu YUAN, Pengxin LIU, Ming YU. Statistical properties of thermodynamic fluctuations in compressible wall⁃bounded turbulence [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(9): 127217-127217.
[3]	Yang ZHANG, Jiaqi LUO, Xian ZENG. Elliptic flow noise by improved ghost⁃cell immersed boundary method [J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(19): 128418-128418.
[4]	Junyang LI, Pengxin LIU, Ming YU, Dong SUN, Siwei DONG, Xianxu YUAN. Effects of viscous dissipation on wall heat flux in high-enthalpy turbulent boundary layer [J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(15): 528963-528963.
[5]	Xiaodong LIU, Pengxin LIU, Chen LI, Dong SUN, Xianxu YUAN. Direct numerical simulation of high enthalpy shock wave/turbulent boundary layer interaction [J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(13): 127832-127832.
[6]	TONG Fulin, DONG Siwei, DUAN Junyi, LI Xinliang. Direct numerical simulation of separation bubble in shock wave/turbulent boundary layer interaction [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(7): 125437-125437.
[7]	SHI Xiaotian, LYU Meng, ZHAO Yuan, TAO Shancong, HAO Le, YUAN Xiangjiang. Flow control technique for shock wave/turbulent boundary layer interactions [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(1): 625929-625929.
[8]	SHEN Pengfei, LIU Pengxin, SUN Dong, YUAN Xianxu. Statistical characteristics of skin friction of shock wave/turbulent boundary layer interaction in hollow cylinder-flare configuration at Mach 6 [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(1): 626005-626005.
[9]	LIU Pengxin, YUAN Xianxu, LIANG Fei, LI Chen, SUN Dong. Quadrant decomposition analysis of fluctuations in high-temperature turbulent boundary layer with chemical non-equilibrium [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(S1): 726338-726338.
[10]	LI Qing, TU Guohua, YU Zhaosheng, LIN Zhaowu, LI Tingting, YUAN Xianxu. Inertial particle transport in non-uniform accelerated flow [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(S1): 726390-726390.
[11]	SUN Dong, LIU Pengxin, SHEN Pengfei, TONG Fulin, GUO Qilong. Direct numerical simulation of shock wave/turbulent boundary layer interaction in hollow cylinder-flare configuration at Mach number 6 [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(12): 124681-124681.
[12]	TONG Fulin, ZHOU Guiyu, SUN Dong, LI Xinliang. Expansion effect on shock wave and turbulent boundary layer interactions [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020, 41(9): 123731-123731.
[13]	TONG Fulin, SUN Dong, YUAN Xianxu, LI Xinliang. Direct numerical simulation of impinging shock wave/turbulent boundary layer interactions in a supersonic expansion corner [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020, 41(3): 123328-123328.
[14]	SUN Dong, LIU Pengxin, TONG Fulin. Effect of spanwise oscillation on interaction of shock wave and turbulent boundary layer [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020, 41(12): 124054-124054.
[15]	LI Chaoqun, LI Yi, ZHANG Chenxi, TANG Shuo. Direct numerical simulation of flow field over streamwise micro riblets [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020, 41(11): 123628-123628.