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Volume 55 Issue 2
Feb.  2023
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Wang Haopeng, Yuan Xianxu, Chen Xi, Liu Shuyi, Lai Jiang, Liu Xiaodong. Effects of wavy roughness on the stability of a Mach 6.5 flat-plate boundary layer. Chinese Journal of Theoretical and Applied Mechanics, 2023, 55(2): 330-342 doi: 10.6052/0459-1879-22-327
Citation: Wang Haopeng, Yuan Xianxu, Chen Xi, Liu Shuyi, Lai Jiang, Liu Xiaodong. Effects of wavy roughness on the stability of a Mach 6.5 flat-plate boundary layer. Chinese Journal of Theoretical and Applied Mechanics, 2023, 55(2): 330-342 doi: 10.6052/0459-1879-22-327


doi: 10.6052/0459-1879-22-327
  • Received Date: 2022-07-20
  • Accepted Date: 2022-11-29
  • Available Online: 2022-11-30
  • Publish Date: 2023-02-18
  • Transition from laminar to turbulent flow of the hypersonic boundary layer can increase the wall friction coefficient and heat conduction coefficient by 3 ~ 5 times, which has a significant influence on flight performance and safety of hypersonic vehicles. Wavy roughness is a possible passive control method to delay hypersonic boundary layer transition, and is thus of engineering significance. In this paper we investigate the effort of finite-length wavy roughnesses with different locations and heights on the stability of a Mach 6.5 flat-plate boundary layer using direct numerical simulation and linear stability theory (LST). DNS is employed to obtain the laminar base flow, and to study the linear evolution of fixed-frequency disturbances parametrically introduced upstream by blowing and suction. The effects of the relative position of the fast/slow mode synchronization point and the wavy roughness are revealed. It is found that when the wavy roughness is placed upstream of a disturbance’s synchronization point, the disturbance is damped compared to the smooth surface case; when the disturbance’s synchronization point is within or slightly downstream of the wavy roughness, the disturbance is generally enhanced. The effects of heights of wavy roughnesses are also considered. For the wavy roughness with small heights compared to the boundary layer thickness, the effect of wavy roughness is positively correlated with the height of the wavy roughness, while the effect is weakened by the higher wavy roughness. Linear stability theory can predict well the effects of wavy roughness on high-frequency disturbances, but exhibits large discrepancies with DNS in predicting the behaviors of moderate and low-frequency disturbances. This indicates that the receptivity process and the strong non-parallel effect in the vicinity of the wavy roughness neglected by LST should play an important role.


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  • [1]
    陈坚强, 涂国华, 张毅锋等. 高超声速边界层转捩研究现状与发展趋势. 空气动力学学报, 2017, 35(3): 311-337 (Chen Jianqiang, Tu Guohua, Zang Yifeng, et al. Hypersonic boundary layer transition: what we know, where shall we go. Acta Aerodynamica Sinica, 2017, 35(3): 311-337 (in Chinese)
    Fedorov A. Transition and stability of high-speed boundary layers. Annual Review of Fluid Mechanics, 2011, 43: 79-95 doi: 10.1146/annurev-fluid-122109-160750
    Drazin PG, Reid WH. Hydrodynamic Stability, 2nd ed. Cambridge: Cambridge University Press, 2004
    Mack LM. Boundary-layer linear stability theory. AGARD Rep. 709, 1984
    Mack LM. Review of Linear Compressible Stability Theory. Stability of Time Dependent and Spatially Varying Flows. New York: Springer, 1987: 164-187
    刘强, 涂国华, 罗振兵等. 延迟高超声速边界层转捩技术研究进展. 航空学报, 2022, 43(2): 125357 (Liu Qiang, Tu Guohua, Luo Zhenbing, et al. Progress in hypersonic boundary transition delaying control. Acta Aeronautica et Astronautica Sinica, 2022, 43(2): 125357 (in Chinese) doi: 10.7527/j.issn.1000-6893.2022.7.hkxb202207001
    Fedorov AV. Stabilization of hypersonic boundary layers by porous coatings. AIAA Journal, 2001, 39(4): 605-610 doi: 10.2514/2.1382
    涂国华, 陈坚强, 袁先旭等. 多孔表面抑制第二模态失稳的最优开孔率和孔半径分析. 空气动力学学报, 2018, 36(2): 273-278 (Tu Guohua, Chen Jianqiang, Yuan Xianxu, et al. Optimal porosity and pore radius of porous surfaces for damping the second-mode instability. Acta Aerodynamica Sinica, 2018, 36(2): 273-278 (in Chinese)
    Zhu WK, Shi MT, Zhu YD, et al. Experimental study of hypersonic boundary layer transition on a permeable wall of a flared cone. Physics of Fluids, 2020, 32: 011701 doi: 10.1063/1.5139546
    Zhu WK, Chen Xi, Zhu YD, et al. Nonlinear interactions in the hypersonic boundary layer on the permeable wall. Physics of Fluids, 2020, 32: 104110 doi: 10.1063/5.0028698
    Fong KD, Wang XW, Zhong XL. Numerical simulation of roughness effect on the stability of a hypersonic boundary layer. Computers & Fluids, 2014, 96: 350-367
    周云龙. 考虑表面粗糙影响下的高超声速边界层稳定性研究. [硕士论文]. 长沙: 国防科技大学, 2019

    Zhou Yunlong. Study of the effect of surface roughness on the hypersonic boundary layer stability. [Master Thesis]. Changsha: Graduate School of National University of Defense Technology, 2019 (in Chinese)
    Wu XS, Dong M. A local scattering theory for the effects of isolated roughness on boundary-layer instability and transition: transmission coefficient as an eigenvalue. Journal of Fluid Mechanics, 2016, 794: 68-108 doi: 10.1017/jfm.2016.125
    Dong M, Zhao L. An asymptotic theory of the roughness impact on inviscid Mack modes in supersonic/hypersonic boundary layers. Journal of Fluid Mechanics, 2021, 913: A22
    董明. 边界层转捩预测中的局部散射理论. 空气动力学学报, 2020, 38(2): 286-298 (Dong Ming. Local scattering theory for transition prediction in boundary-layer flows. Acta Aerodynamica Sinica, 2020, 38(2): 286-298 (in Chinese) doi: 10.7638/kqdlxxb-2019.0140
    Brehm C, Dackermann T, Grygier F, et al. Numerical investigations of the influence of distributed roughness on blasius boundary layer stability//49th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition, Orlando, Florida, 2011
    Tameike H, Yakeno A, Obayashi S. Influence of small wavy roughness on flat plate boundary layer natural transition. Journal of Fluid Science and Technology, 2021, 16(1): 1-10
    Fujii K. Experiment of the two-dimensional roughness effect on hypersonic boundary-layer transition. Journal of Spacecraft and Rockets, 2006, 43(4) : 731-738
    Si WF, Huang GL, Zhu YD, et al. Hypersonic aerodynamic heating over a flared cone with wavy wall. Physics of Fluids, 2019, 31: 051701 doi: 10.1063/1.5094388
    Si WF. The influence of wavy wall on hypersonic boundary layer instability over a flared cone. International Journal of Modern Physics B, 2020, 34: 14n16, 2040093
    Egorov IV, Novikov AV, Fedorov AV. Numerical modeling of the disturbances of the separated flow in a rounded compression corner. Fluid Dynamics, 2006, 41(4): 521-530 doi: 10.1007/s10697-006-0070-7
    Egorov IV, Novikov AV. Direct numerical simulation of supersonic boundary layer stabilization using grooved wavy surface//48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, Orlando, Florida, 2010
    Bountin D, Chimitov T, Maslov A, et al. Stabilization of a hypersonic boundary layer using a wavy surface. AIAA Journal, 2013, 51(5): 1203-1210
    Zhou YL, Liu W, Chai ZX, et al. Numerical simulation of wavy surface effect on the stability of a hypersonic boundary layer. Acta Astronautica, 2017, 140: 485-496
    Kirilovskiy SV, Poplavskaya TV. Hypersonic boundary layer stabilization by using a wavy surface. Journal of Physics: Conf. Series, 2017, 894: 012040 doi: 10.1088/1742-6596/894/1/012040
    Zhu WK, Gu DW, Si WF, et al. Instability evolution in the hypersonic boundary layer over a wavy wall. Journal of Fluid Mechanics, 2022, 943: A16
    Zhu WK, Gu DW, Zhu YD, et al. Generation of acoustic waves in the hypersonic boundary layer over a wavy wall. Physics, Mechanics & Astronomy, 2022, 65(3): 234711
    Gabín AM, Chávez M, Mena JG, et al. Wavy walls, a passive way to control the transition to turbulence. detailed simulation and physical explanation. Energies, 2021, 14: 3937
    张存波, 罗纪生, 高军. 分布式粗糙度对马赫数为4.5的平板边界层稳定性的影响. 航空动力学报, 2016, 31(5): 1234-1241 (Zhang Cunbo, Luo Jisheng, Gao Jun. Effects of distributed roughness on Mach 4.5 boundary-layer transition. Journal of Aerospace Power, 2016, 31(5): 1234-1241 (in Chinese)
    Muppidi S, Mahesh K. Direct numerical simulations of roughness -induced transition in supersonic boundary layers. Journal of Fluid Mechanics, 2012, 693: 28-56 doi: 10.1017/jfm.2011.417
    Giovanni AD, Stemmer C. Cross-flow-type breakdown induced by distributed roughness in the boundary layer of a hypersonic capsule configuration. Journal of Fluid Mechanics, 2018, 856: 470-503 doi: 10.1017/jfm.2018.706
    Reda DC. Review and synthesis of roughness-dominated transition correlations for reentry applications. Journal of Spacecraft and Rockets, 2022, 39(2): 161-167
    Reda DC, Wilder MC, Bogdanoff DW, et al. Transition experiments on blunt bodies with distributed roughness in hypersonic free flight. Journal of Spacecraft and Rockets, 2008, 45(2): 210-215 doi: 10.2514/1.30288
    Wilder MC, Reda DC, Prabhu DK. Transition experiments on blunt bodies with distributed roughness in hypersonic free flight in carbon dioxide//53rd AIAA Aerospace Sciences Meeting, Kissimmee, Florida, 2015
    Liang X, Li XL, Fu DX, et al. Effects of wall temperature on boundary layer stability over a blunt cone at Mach 7.99. Computers & Fluids, 2010, 39: 359-371
    Chen X, Chen JQ, Yuan XX, et al. From primary instabilities to secondary instabilities in Görtler vortex flows. Advances in Aerodynamics, 2019 , 1: 19
    Dong SW, Chen JQ, Yuan XX, et al. Wall pressure beneath a transitional hypersonic boundary layer over an inclined straight circular cone. Advances in Aerodynamics, 2020, 2: 29
    李慧, 黄章峰. 局部凸起对可压缩平板边界层稳定性的影响. 航空动力学报, 2015, 30(1): 173-181 (Li hui, Huang Zhangfeng. Effort of local hump on stability of compressible boundary layer on flat plate. Journal of Aerospace Power, 2015, 30(1): 173-181 (in Chinese) doi: 10.13224/j.cnki.jasp.2015.01.024
    陈曦. 高超声速边界层转捩问题研究. [博士论文]. 北京: 北京大学, 2018

    Chen Xi. Study on hypersonic boundary layer transition. [PhD Thesis]. Beijing: Peking University, 2018 (in Chinese))
    Chen X, Zhu YD, Li CB. Interactions between second mode and low-frequency waves in a hypersonic boundary layer. Journal of Fluid Mechanics, 2017, 820: 693-735 doi: 10.1017/jfm.2017.233
    Malik MR. Numerical methods for hypersonic boundary layer stability. Journal of Computational Physics, 1990, 86: 376-413 doi: 10.1016/0021-9991(90)90106-B
    Chen X, Huang GL, Li CB. Hypersonic boundary layer transition on a concave wall: stationary Görtler vortices. Journal of Fluid Mechanics, 2019, 865: 1-40 doi: 10.1017/jfm.2019.24
    Tullio ND, Sandham ND. Influence of boundary-layer disturbances on the instability of a roughness wake in a high-speed boundary layer. Journal of Fluid Mechanics, 2015, 763: 136-165
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