Overview on progress of supersonic turbulent boundary layer on curved surfaces

SUN Mingbo; WANG Qiancheng; WANG Xu; LIU Yuan

doi:10.7638/kqdlxxb-2020.0059

English Version Journal Login

您当前的位置：

首页 >

文章列表页 >

Overview on progress of supersonic turbulent boundary layer on curved surfaces

更新时间：2026-05-28

- Overview on progress of supersonic turbulent boundary layer on curved surfaces
- Vol. 38, Issue 2, Pages: 379-390(2020)
- 作者机构：
  
  国防科技大学高超声速冲压发动机技术重点实验室,长沙,410073
- 作者简介：
- 基金信息：
- DOI：10.7638/kqdlxxb-2020.0059
  CLC： O357.4+1
- Published：2020
- 稿件说明：
移动端阅览
孙明波, 王前程, 王旭, 刘源. 流向弯曲壁超声速湍流边界层研究进展[J]. 空气动力学学报, 2020, 38(2): 379-390.

SUN Mingbo, WANG Qiancheng, WANG Xu, et al. Overview on progress of supersonic turbulent boundary layer on curved surfaces[J]. 2020, 38(2): 379-390.
孙明波, 王前程, 王旭, 刘源. 流向弯曲壁超声速湍流边界层研究进展[J]. 空气动力学学报, 2020, 38(2): 379-390. DOI： 10.7638/kqdlxxb-2020.0059.

SUN Mingbo, WANG Qiancheng, WANG Xu, et al. Overview on progress of supersonic turbulent boundary layer on curved surfaces[J]. 2020, 38(2): 379-390. DOI： 10.7638/kqdlxxb-2020.0059.

摘要

流向弯曲壁面上的超声速湍流边界层特性是流体力学的重要科学问题，掌握其规律对提升高超声速飞行器设计水平有重要意义。国内外在该问题上的研究已经持续了50余年，近年来随着实验测量和数值模拟能力的提高，在流向曲率的影响机理上取得了突破性进展。本文系统梳理了流向凸曲壁及凹曲壁的超声速湍流边界层的演化机制，介绍了流向曲率、压力梯度和体积膨胀/压缩等关键因素的影响规律，总结了流向凸曲壁边界层湍流衰减的特性与成因，以及凹曲壁边界层中Görtler不稳定和逆压梯度增强湍流的特性与成因。最后归纳其发展趋势，为下一步开展弯曲壁超声速湍流边界层研究提出了建议。

Abstract

The characteristics of the supersonic turbulent boundary layer subjected to the streamwise curved wall surface is an important scientific issue in fluid mechanics. To know clearly its laws is of great significance for improving the design level of hypersonic vehicles. Research on this issue in the international community has continued for more than 50 years. In recent years

with the improvement of experimental measurement and numerical simulation capabilities

breakthrough progress has been made in the influence mechanism of streamwise curvature rate. This paper systematically summarizes the evolution mechanism of supersonic turbulent boundary layer subjected to convex curved wall and concave curved wall

introduces the influence law of key impact factors such as flow direction curvature

pressure gradient and volume expansion/compression. The characteristics and causes of turbulence attenuation of convex supersonic wall boundary layer

as well as the characteristics and causes of Görtler instability and backpressure gradient enhanced turbulence fluctuation in the concave supersonic wall boundary layer

is summarized. Finally

the developing trend is summarized

and suggestions are made for the next step of research on the curved wall supersonic turbulent boundary layer.

关键词

Keywords

references

SARIC W S. Görtler vortices[J]. Annual Review of Fluid Mechanics, 1994, 26(1):379-409.

GÖRTLER H. On the three dimensional instability of laminar boundary layers on concave walls[R]. 1954, NACA TM 1375.

WORTMANN F X. Visualization of transition[J]. Journal of Fluid Mechanics, 1969, 38(3):473-480.

BIPPES H, GöRTLER H. Three-dimensional disturbances in the boundary layer along a concave wall[J]. Acta Mechanica, 1972, 14:251-267

TANI I, AIHARA Y. Görtler vortices and boundary-layer transition[J]. Zeitschrift Für Angewandte Mathematik Und Physik ZAMP, 1969, 20(5):609-618.

REN J, FU S. Study of the discrete spectrum in a Mach 4.5 görtler flow[J]. Flow, Turbulence and Combustion, 2015, 94(2):339-357.

REN J, FU S. Competition of the multiple Görtler modes in hypersonic boundary layer flows[J]. Science China Physics, Mechanics Astronomy, 2014, 57(6):1178-1193.

WANG J S, FENG L H, WANG J J, et al. Görtler vortices in low-Reynolds-number flow over multi-element airfoil[J]. Journal of Fluid Mechanics, 2018, 835:898-935.

CHEN X, HUANG G L, LEE C B. Hypersonic boundary layer transition on a concave wall:stationary Görtler vortices[J]. Journal of Fluid Mechanics, 2019, 865:1-40.

REN J, FU S. Secondary instabilities of Görtler vortices in high-speed boundary layer flows[J]. Journal of Fluid Mechanics, 2015, 781:388-421.

XU D D, ZHANG Y M, WU X S. Nonlinear evolution and secondary instability of steady and unsteady Görtler vortices induced by free-stream vortical disturbances[J]. Journal of Fluid Mechanics, 2017, 829:681-730.

BRADSHAW P. The analogy between streamline curvature and buoyancy in turbulent shear flow[J]. Journal of Fluid Mechanics, 1969, 36(1):177-191.

MUCK K C, HOFFMANN P H, BRADSHAW P. The effect of convex surface curvature on turbulent boundary layers[J]. Journal of Fluid Mechanics, 1985, 161:347.

WANG Q C, WANG Z G, SUN M B, et al. The amplification of large-scale motion in a supersonic concave turbulent boundary layer and its impact on the mean and statistical properties[J]. Journal of Fluid Mechanics, 2019, 863:454-493.

WANG Q C, WANG Z G, ZHAO Y X. The impact of streamwise convex curvature on the supersonic turbulent boundary layer[J]. Physics of Fluids, 2017, 29(11):116106.

WANG Q C, WANG Z G. Structural characteristics of the supersonic turbulent boundary layer subjected to concave curvature[J]. Applied Physics Letters, 2016, 108(11):114102.

WANG Q C, WANG Z G, ZHAO Y X. An experimental investigation of the supersonic turbulent boundary layer subjected to concave curvature[J]. Physics of Fluids, 2016, 28(9):096104.

BRADSHAW P. The effect of mean compression or dilatation on the turbulence structure of supersonic boundary layers[J]. Journal of Fluid Mechanics, 1974, 63(3):449-464.

WANG X, WANG Z G, SUN M B, et al. Effects of favorable pressure gradient on turbulence structures and statistics of a flat-plate supersonic turbulent boundary layer[J]. Physics of Fluids, 2020, 32(2):025107.

WANG Q C, WANG Z G, ZHAO Y X. On the impact of adverse pressure gradient on the supersonic turbulent boundary layer[J]. Physics of Fluids, 2016, 28(11):116101.

FLORYAN J M. On the görtler instability of boundary layers[J]. Progress in Aerospace Sciences, 1991, 28(3):235-271.

SPINA E F, SMITS A J, ROBINSON S K. The physics of supersonic turbulent boundary layers[J]. Annual Review of Fluid Mechanics, 1994, 26(1):287-319.

GIBSON M M, VERRIOPOULOS C A, NAGANO Y. Measurements in the heated turbulent boundary layer on a mildly curved convex surface[M]//Turbulent Shear Flows 3. Berlin, Heidelberg:Springer Berlin Heidelberg, 1982:80-89.

GIBSON M M, VERRIOPOULOS C A, VLACHOS N S. Turbulent boundary layer on a mildly curved convex surface[J]. Experiments in Fluids, 1984, 2(1):17-24.

BOWERSOX R D W, BUTER T A. Turbulence measurements in a Mach 2.9 boundary layer including mild pressure gradients[J]. AIAA Journal, 1996, 34(12):2479-2483.

LUKER J J, HALE C S, BOWERSOX R D W. Experimental analysis of the turbulent shear stresses for distorted supersonic boundary layers[J]. Journal of Propulsion and Power, 1998, 14(1):110-118.

ARNETTE S A, SAMIMY M O, ELLIOTT G S. The effects of expansion on the turbulence structure of compressible boundary layers[J]. Journal of Fluid Mechanics, 1998, 367:67-105.

LUKER J J, BOWERSOX R D W, BUTER T A. Influence of curvature-driven favorable pressure gradient on supersonic turbulent boundary layer[J]. AIAA Journal, 2000, 38:1351-1359.

EKOTO I W, BOWERSOX R D W, BEUTNER T, et al. Response of supersonic turbulent boundary layers to local and global mechanical distortions[J]. Journal of Fluid Mechanics, 2009, 630:225-265.

TICHENOR N R, HUMBLE R A, BOWERSOX R D W. Response of a hypersonic turbulent boundary layer to favourable pressure gradients[J]. Journal of Fluid Mechanics, 2013, 722:187-213.

HUMBLE R A, PELTIER S J, BOWERSOX R D W. Visualization of the structural response of a hypersonic turbulent boundary layer to convex curvature[J]. Physics of Fluids, 2012, 24(10):106103.

WANG Q C, WANG Z G, ZHAO Y X. Structural responses of the supersonic turbulent boundary layer to expansions[J]. Applied Physics Letters, 2016, 109(12):124104.

GILLIS J C, JOHNSTON J P. Turbulent boundary-layer flow and structure on a convex wall and its redevelopment on a flat wall[J]. Journal of Fluid Mechanics, 1983, 135:123-153.

GOLDFELD M A, NESTOULIA R V, SHIPLYUK A N. Relaminarization of a turbulent boundary layer with a mach number M ∞ =4[J ] . Journal of Applied Mechanics and Technical Physics, 2002, 43:76-82.

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.

SMITS A J, WOOD D H. The response of turbulent boundary layers to sudden perturbations[J]. Annual Review of Fluid Mechanics, 1985, 17(1):321-358.

LEWIS J E, GRAN R L, KUBOTA T. An experiment on the adiabatic compressible turbulent boundary layer in adverse and favourable pressure gradients[J]. Journal of Fluid Mechanics, 1972, 51(4):657-672.

KNIGHT D, YAN H, PANARAS A G, et al. Advances in CFD prediction of shock wave turbulent boundary layer interactions[J]. Progress in Aerospace Sciences, 2003, 39(2/3):121-184.

ARNETTE S A, SAMIMY M, ELLIOTT G S. Structure of supersonic turbulent boundary layer after expansion regions[J]. AIAA Journal, 1995, 33(3):430-438.

DUSSAUGE J P, GAVIGLIO J. The rapid expansion of a supersonic turbulent flow:role of bulk dilatation[J]. Journal of Fluid Mechanics, 1987, 174:81-112.

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.

TONG F L, LI X L, YUAN X X, et al. Incident shock wave and supersonic turbulent boundarylayer interactions near an expansion corner[J]. Computers Fluids, 2020, 198:104385.

SUN M B, HU Z W, SANDHAM N D. Recovery of a supersonic turbulent boundary layer after an expansion corner[J]. Physics of Fluids, 2017, 29(7):076103.

WU X H, MOIN P, WALLACE J M, et al. Transitional-turbulent spots and turbulent-turbulent spots in boundary layers[J]. Proceedings of the National Academy of Sciences of the United States of America, 2017, 114(27):E5292-E5299. DOI:10.1073/pnas.1704671114.

SMITH D R, SMITS A J. A study of the effects of curvature and compression on the behavior of a supersonic turbulent boundary layer[J]. Experiments in Fluids, 1995, 18(5):363-369.

FERNANDO E M, SMITS A J. A supersonic turbulent boundary layer in an adverse pressure gradient[J]. Journal of Fluid Mechanics, 1990, 211:285-307.

CLAUSER F H. Turbulent boundary layers in adverse pressure gradients[J]. Journal of the Aeronautical Sciences, 1954, 21(2):91-108.

KIM J H, SAMIMY M, LEE S. Effects of compression and expansion on turbulence intensity in supersonic boundary layers[J]. AIAA Journal, 2001, 39:1071-1077.

SMITS A J, EATON J A, BRADSHAW P. The response of a turbulent boundary layer to lateral divergence[J]. Journal of Fluid Mechanics, 1979, 94(2):243-268.

LEE J H, SUNG H J. Effects of an adverse pressure gradient on a turbulent boundary layer[J]. International Journal of Heat and Fluid Flow, 2008, 29(3):568-578.

MONTY J P, HARUN Z, MARUSIC I. A parametric study of adverse pressure gradient turbulent boundary layers[J]. International Journal of Heat and Fluid Flow, 2011, 32(3):575-585.

VINUESA R, NEGI P S, ATZORI M, et al. Turbulent boundary layers around wing sections up to Rec=1, 000, 000[J]. International Journal of Heat and Fluid Flow, 2018, 72:86-99.

VINUESA R, ÖRLÜ R, SANMIGUEL VILA C, et al. Revisiting history effects in adverse-pressure-gradient turbulent boundary layers[J]. Flow, Turbulence and Combustion, 2017, 99(3/4):565-587.

STUREK W B, DANBERG J E. Supersonic turbulent boundary layer in adverse pressure gradient. Part 11:data analysis[J]. AIAA Journal, 1972, 10(5):630-635.

DONOVAN J F, SPINA E F, SMITS A J. The structure of a supersonic turbulent boundary layer subjected to concave surface curvature[J]. Journal of Fluid Mechanics, 1994, 259:1-24.

NAGANO Y, TSUJI T, HOURA T. Structure of turbulent boundary layer subjected to adverse pressure gradient[J]. International Journal of Heat and Fluid Flow, 1998, 19(5):563-572.

SPALART P R, WATMUFF J H. Experimental and numerical study of a turbulent boundary layer with pressure gradients[J]. Journal of Fluid Mechanics, 1993, 249:337.

AUBERTINE C D, EATON J K. Turbulence development in a non-equilibrium turbulent boundary layer with mild adverse pressure gradient[J]. Journal of Fluid Mechanics, 2005, 532:345-364.

FRANKO K J, LELE S. Effect of adverse pressure gradient on high speed boundary layer transition[J]. Physics of Fluids, 2014, 26(2):024106.

WANG X, WANG Z G, SUN M B, et al. Direct numerical simulation of a supersonic turbulent boundary layer subject to adverse pressure gradient induced by external successive compression waves[J]. AIP Advances, 2019, 9(8):085215.

JAYARAM M, TAYLOR M W, SMITS A J. The response of a compressible turbulent boundary layer to short regions of concave surface curvature[J]. Journal of Fluid Mechanics, 1987, 175:343.

SIMPSON R L. Turbulent boundary-layer separation[J]. Annual Review of Fluid Mechanics, 1989, 21(1):205-232.

LÖGDBERG O, ANGELE K, ALFREDSSON P H. On the scaling of turbulent separating boundary layers[J]. Physics of Fluids, 2008, 20(7):075104.

KITSIOS V, ATKINSON C, SILLERO J A, et al. Direct numerical simulation of a self-similar adverse pressure gradient turbulent boundary layer[J]. International Journal of Heat and Fluid Flow, 2016, 61:129-136.

MACIEL Y, GUNGOR A G, SIMENS M. Structural differences between small and large momentum-defect turbulent boundary layers[J]. International Journal of Heat and Fluid Flow, 2017, 67:95-110.

HARUN Z, MONTY J P, MATHIS R, et al. Pressure gradient effects on the large-scale structure of turbulent boundary layers[J]. Journal of Fluid Mechanics, 2013, 715:477-498.

LEE J, LEE J H, LEE J H, et al. Coherent structures in turbulent boundary layers with adverse pressure gradients[J]. Journal of Turbulence, 2010, 11:N28.

LEE J H. Large-scale motions in turbulent boundary layers subjected to adverse pressure gradients[J]. Journal of Fluid Mechanics, 2017, 810:323-361.

BOBKE A, VINUESA R, ÖRLÜ R, et al. History effects and near equilibrium in adverse-pressure-gradient turbulent boundary layers[J]. Journal of Fluid Mechanics, 2017, 820:667-692.

SUN M B, SANDHAM N D, HU Z W. Turbulence structures and statistics of a supersonic turbulent boundary layer subjected to concave surface curvature[J]. Journal of Fluid Mechanics, 2019, 865:60-99.

HOFFMANN P H, MUCK K C, BRADSHAW P. The effect of concave surface curvature on turbulent boundary layers[J]. Journal of Fluid Mechanics, 1985, 161:371.

FLAHERTY W, AUSTIN J M. Scaling of heat transfer augmentation due to mechanical distortions in hypervelocity boundary layers[J]. Physics of Fluids, 2013, 25(10):106106.

BARLOW R S, JOHNSTON J P. Structure of a turbulent boundary layer on a concave surface[J]. Journal of Fluid Mechanics, 1988, 191:137.

BARLOW R S, JOHNSTON J P. Local effects of large-scale eddies on bursting in a concave boundary layer[J]. Journal of Fluid Mechanics, 1988, 191:177.

TONG F L, LI X L, DUAN Y H, et al. Direct numerical simulation of supersonic turbulent boundary layer subjected to a curved compression ramp[J]. Physics of Fluids, 2017, 29(12):125101.

STUREK W B, DANBERG J E. Supersonic turbulent boundary layer in adverse pressure gradient. Part Ⅰ:the experiment[J]. AIAA Journal, 1972, 10(4):475-480.

LADERMAN A J. Adverse pressure gradient effects on supersonic boundary-layer turbulence[J]. AIAA Journal, 1980, 18(10):1186-1195.

OZALP A A, UMUR H. An experimental investigation of the combined effects of surface curvature and streamwise pressure gradients both in laminar and turbulent flows[J]. Heat and Mass Transfer, 2003, 39(10):869-876.

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Experimental study of the turbulent-boundary-layer wall pressure fluctuation wavenumber-frequency spectrum models using linear array

Higher-order nonlinear shock wave discriminant based on deep neural network

Research progress on the fusion of data obtained by high-speed wind tunnels, CFD and model flight

Numerical study on compressible gas-solid two-phase flow based on a particle solver implemented in NNW-PHengLEI

Progress and outlook of plasma-based turbulent skin-friction drag reduction

Related Author

YU Rongke

WANG Xunnian

YANG Mei

ZHANG Rongping

ZHAO Kun

XIANG Xinghao

GAO Zhenghong

PANG Chao

Related Institution

College of Mechanical and Electrical Engineering, Hunan University of Science and Technology, Xiangtan

China Aerodynamics Research and Development Center, Mianyang

State Key Laboratory of Aerodynamics, Mianyang

AVIC The First Aircraft Institute, Xi’an

School of Aeronautics, Northwestern Polytechnical University, Xi’an

AI问答

⁰