边界层转捩预测中的局部散射理论

董明

doi:10.7638/kqdlxxb-2019.0140

欢迎来到能源电力期刊网！

English Version 期刊登录

您当前的位置：

首页 >

文章列表页 >

边界层转捩预测中的局部散射理论

专栏——中国流动稳定性和转捩研究40年 | 更新时间：2026-05-28

- 边界层转捩预测中的局部散射理论
- Local scattering theory for transition prediction in boundary-layer flows
- 空气动力学学报 2020年38卷第2期页码：286-298
- 作者机构：
  
  天津大学机械学院高速空气动力学研究室,天津,300072
- 作者简介：
  
  董明(1981-), 男, 河北人, 副教授, 研究方向:流动稳定性与湍流.E-mail:dongming@tju.edu.cn
- 基金信息：
  
  国家自然科学基金（11772224）
- DOI：10.7638/kqdlxxb-2019.0140
  中图分类号： O357.4
- 纸质出版：2020
- 稿件说明：
移动端阅览
董明. 边界层转捩预测中的局部散射理论[J]. 空气动力学学报, 2020, 38(2): 286-298.

DONG Ming. Local scattering theory for transition prediction in boundary-layer flows[J]. 2020, 38(2): 286-298.
董明. 边界层转捩预测中的局部散射理论[J]. 空气动力学学报, 2020, 38(2): 286-298. DOI： 10.7638/kqdlxxb-2019.0140.

DONG Ming. Local scattering theory for transition prediction in boundary-layer flows[J]. 2020, 38(2): 286-298. DOI： 10.7638/kqdlxxb-2019.0140.

摘要

随着航空航天技术的发展，工程上对转捩预测精度的要求越来越高。由于飞行器表面经常出现如粗糙元、台阶、缝隙等局部突变，而传统的基于光滑壁面边界层建立的转捩预测模型已无法满足精度要求。因而，发展考虑壁面突变影响的转捩预测方法有重要的实际意义。对于由边界层中模态扰动的累积所触发的自然转捩，局部突变通过局部感受性与线性模态的局部散射两种机制影响转捩位置，故可以通过在传统e

转捩预测方法的基础上引入这两种机制影响的方法建立新的转捩预测模型。为了量化这两种机制的影响，作者与其合作者们提出了一套通用的理论框架——局部散射理论。该理论框架采用大雷诺数渐近理论与有限雷诺数理论相结合的分析与计算方法，定量刻画局部散射系统的两个特征参数——局部感受性系数与透射系数，以预测在局部突变影响下转捩位置的改变量。文章综述了近年来局部散射理论的研究进展，重点展示了该理论在二维层流边界层中黏性与无黏两种失稳机制下的应用。

Abstract

With the development of aerospace technology

higher and higher accuracy for transition prediction is required in engineering. Because the traditional transition prediction approaches based on smooth boundary layers do not satisfy the accuracy requirement when surface imperfections

e.g. roughness

steps and gaps

are present

it is of practical importance to develop a new model to predict transition with the impacts of surface imperfections being taken into account. For natural-route transition triggered by the accumulation of the boundary-layer normal modes

the transition onset may be affected

through the local receptivity and linear-mode local scattering regimes

therefore

a new transition-prediction model can be developed by adding the quantitative impacts of the two regimes to the traditional e

transition-prediction approach. In order to quantify these impacts

the author and his collaborators developed a generic theoretical framework

the local scattering theory. Through combination of large-Reynolds-number asymptotic and finite-Reynolds-number theories

this framework describes the two system characteristic parameters

i.e. the local receptivity and transmission coefficients

which are used to predict the variation of the transition onset influenced by the surface imperfections. The present paper reviews the progress of the local scattering theory in the recent years

and highlights the applications of the theory in the viscous and inviscid instability regimes in two-dimensional laminar boundary layers.

关键词

Keywords

references

ZHOU H, ZHANG H X. New problems of aerodynamics[J]. Scientia Sinica (Physica, Mechanica Astronomica), 2015, 45(10):104709.

ZHOU H, ZHANG H X. Two problems in the transition and turbulence for near space hypersonic flying vehicles[J]. Acta Aerodynamica Sinica, 2017, 35(2):151-155. (in Chinese)

CROUCH J. Predicting laminar-turbulent transition influenced by surface-induced flow distortions[R]. IUTAM-2019, 2019: London.

PERRAUD J, ARNAL D, KUEHN W. Laminar-turbulent transition prediction in the presence of surface imperfections[J]. International Journal of Engineering Systems Modelling and Simulation, 2014, 6(3/4):162.

SCHNEIDER S P. Effects of roughness on hypersonic boundary-layer transition[J]. Journal of Spacecraft and Rockets, 2008, 45(2):193-209.

WHEATON B M, SCHNEIDER S P. Roughness-induced instability in a laminar boundary layer at Mach 6[C]//48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition. 2010. AIAA 2010-1574.

DUAN Z W, XIAO Z X, FU S. Simulation of transition triggered by isolated roughness in hypersonic boundary layer[C]//42nd AIAA Fluid Dynamics Conference and Exhibit, New Orleans, Louisiana. Reston, Virigina: AIAA, 2012. AIAA 2012-3076.

DONG M. Mechanism of roughness-induced transition in hypersonic boundary layers[J]. Physics of Gases, 2016, 1(5):25-38. (in Chinese)

KACHANOV Y S. Physical mechanisms of laminar-boundary-layer transition[J]. Annual Review of Fluid Mechanics, 1994, 26(1):411-482.

SMITH A M O. Transition, pressure gradient and stability theory[C]//IX International Congress for Applied Mechanics, 1956: Brussels.

JAFFE N A, OKAMURA T T, SMITH A M O. Determination of spatial amplification factors and their application to predicting transition[J]. AIAA Journal, 1970, 8(2):301-308.

SROKOWSKI A J, ORSZAG S A. Mass flow requirements for LFC wing design: AIAA-77-1222[R]. Reston: AIAA, 1977.

SMITH A M O. On the growth of Taylor-Görtler vortices along highly concave walls[J]. Quarterly of Applied Mathematics, 1955, 13(3):233-262.

MACK L M. Transition prediction and linear stability theory[R]. AGARD CP-224.1977.

MACK L M. Review of linear compressible stability theory[M]//Stability of Time Dependent and Spatially Varying Flows. New York, N Y:Springer New York, 1987:164-187.

SMITH F T. On the first-mode instability in subsonic, supersonic or hypersonic boundary layers[J]. Journal of Fluid Mechanics, 1989, 198:127.

Goldstein M E. The evolution of Tollmien-Schlichting waves near a leading edge[J]. J Fluid Mech, 1983.127:59-81.

FEDOROV A V, KHOKHLOV A P. Excitation of unstable modes in a supersonic boundary layer by acoustic waves[J]. Fluid Dynamics, 1991, 26(4):531-537.

FEDOROV A V, KHOKHLOV A P. Prehistory of instability in a hypersonic boundary layer[J]. Theoretical and Computational Fluid Dynamics, 2001, 14(6):359-375.

MA Y B, ZHONG X L. Receptivity of a supersonic boundary layer over a flat plate. Part 1. Wave structures and interactions[J]. Journal of Fluid Mechanics, 2003, 488:31-78.

MA Y B, ZHONG X L. Receptivity of a supersonic boundary layer over a flat plate. Part 2. Receptivity to free-stream sound[J]. Journal of Fluid Mechanics, 2003, 488:79-121.

MA Y B, ZHONG X L. Receptivity of a supersonic boundary layer over a flat plate. Part 3. Effects of different types of free-stream disturbances[J]. Journal of Fluid Mechanics, 2005, 532:63-109.

FEDOROV A V. Receptivity of a high-speed boundary layer to acoustic disturbances[J]. Journal of Fluid Mechanics, 2003, 491:101-129.

MASLOV A A, SHIPLYUK A N, SIDORENKO A A, et al. Leading-edge receptivity of a hypersonic boundary layer on a flat plate[J]. Journal of Fluid Mechanics, 2001, 426:73-94.

GOLDSTEIN M E, RICCO P. Non-localized boundary layer instabilities resulting from leading edge receptivity at moderate supersonic Mach numbers[J]. Journal of Fluid Mechanics, 2018, 838:435-477.

BERTOLOTTI F P, HERBERT T, SPALART P R. Linear and nonlinear stability of the Blasius boundary layer[J]. Journal of Fluid Mechanics, 1992, 242:441-474.

HERBERT T. Parabolized stability equations[J]. Annual Review of Fluid Mechanics, 1997, 29(1):245-283.

CHANG C L, MALIK M, ERLEBACHER G, et al. Compressible stability of growing boundary layers using parabolized stability equations[C]//22nd Fluid Dynamics, Plasma Dynamics and Lasers Conference, Honolulu, HI, USA. Reston, Virigina: AIAA, 1991. AIAA-91-1636.

MALIK M R, LI F, CHANG C L. Crossflow disturbances in three-dimensional boundary layers:nonlinear development, wave interaction and secondary instability[J]. Journal of Fluid Mechanics, 1994, 268:1-36.

CHOUDHARI M, CHANG C L, STREETT C, et al. Integrated transition prediction: a case study in supersonic laminar flow control[C]//41st Aerospace Sciences Meeting and Exhibit, Reno, Nevada. Reston, Virigina: AIAA, 2003.

DONG M, ZHANG Y M, ZHOU H. A new method for computing laminar-turbulent transition and turbulence in compressible boundary layers:PSE+DNS[J]. Applied Mathematics and Mechanics, 2008, 29(12):1527-1534.

WU X S, DONG M. A local scattering theory for the effects of isolated roughness on boundary-layer instability and transition:transmission coefficient as an eigenvalue[J]. Journal of Fluid Mechanics, 2016, 794:68-108.

FEDOROV A. Transition and stability of high-speed boundary layers[J]. Annual Review of Fluid Mechanics, 2011, 43(1):79-95.

RUBAN A I. On Tollmien-Schlichting wave generation by sound[M]//Laminar-Turbulent Transition. Berlin, Heidelberg:Springer Berlin Heidelberg, 1985:313-320.

GOLDSTEIN M E. Sound generation and upstream influence due to instability waves interacting with non-uniform mean flows[J]. Journal of Fluid Mechanics, 1984, 149:161.

CHOUDHARI M, STREETT C L. A finite Reynolds-number approach for the prediction of boundary-layer receptivity in localized regions[J]. Physics of Fluids A:Fluid Dynamics, 1992, 4(11):2495-2514.

CROUCH J D. Localized receptivity of boundary layers[J]. Physics of Fluids A:Fluid Dynamics, 1992, 4(7):1408-1414.

LIN C C. On the stability of two-dimensional parallel flows. III. Stability in a viscous fluid[J]. Quarterly of Applied Mathematics, 1946, 3(4):277-301.

SMITH F T. Nonlinear stability of boundary layers for disturbances of various sizes[J]. Proceedings of the Royal Society A:Mathematical Physical and Engineering Sciences, 1979, 368(1735):573-589. doi:https://doi.org/10.1098/rspa.1979.0147

SMITH F T. On the non-parallel flow stability of the Blasius boundary layer[J]. Proceedings of the Royal Society A:Mathematical Physical and Engineering Sciences, 1979, 366(1724):91-109.

STEWARTSON K, WILLIAMS P G. Self-induced separation[J]. Proceedings of the Royal Society A:Mathematical, Physical and Engineering Sciences, 1969, 312(1509):181-206.

SMITH F T. Laminar flow over a small hump on a flat plate[J]. Journal of Fluid Mechanics, 1973, 57(4):803-824.

DONG M, ZHAO H Y. Suppression of flow separation by wall suction in supersonic boundary layers[J]. Physics of Gases, 2019, 4(2):17-29. (in Chinese)

BODONYI R J, SMITH F T. The upper branch stability of the Blasius boundary layer, including non-parallel flow effects[J]. Proceedings of the Royal Society A:Mathematical, Physical and Engineering Sciences, 1981, 375(1760):65-92.

DONG M, WU X S. Local scattering theory and the role of an abrupt change on boundary-layer instability and acoustic radiation[C]//46th AIAA Fluid Dynamics Conference, Washington, D C. Reston, Virginia: AIAA, 2016. AIAA 2016-3194.

DONG M, ZHANG A Y. Scattering of Tollmien-Schlichting waves as they pass over forward-/backward-facing steps[J]. Applied Mathematics and Mechanics, 2018, 39(10):1411-1424.

DONG M, WU X S. Generation of convective instability modes in the near-wake flow of the trailing edge of a flat plate[C]//8th AIAA Theoretical Fluid Mechanics Conference, Denver, Colorado. Reston, Virginia: AIAA, 2017. AIAA 2017-4022.

ZAHN J, RIST U. Impact of deep gaps on laminar-turbulent transition in compressible boundary-layer flow[J]. AIAA Journal, 2016, 54(1):66-76.

ZAHN J, RIST U. Active and natural suction at forward-facing steps for delaying laminar-turbulent transition[J]. AIAA Journal, 2017, 55(4):1343-1354.

THOMAS C, MUGHAL S, ASHWORTH R. Development of Tollmien-Schlichting disturbances in the presence of laminar separation bubbles on an unswept infinite wavy wing[J]. Physical[WX)] [WX(4.5mm, 75.5mm] Review Fluids, 2017, 2(4):043903.

RAPOSO H, MUGHAL S, ASHWORTH R. Acoustic receptivity and transition modeling of Tollmien-Schlichting disturbances induced by distributed surface roughness[J]. Physics of Fluids, 2018, 30(4):044105.

FRANCO SUMARIVA J A, HEIN S J. Adaptive Harmonic Linearized Navier-Stokes equations used for boundary layer instability analysis in the presence of large streamwise gradients[C]//2018 AIAA Aerospace Sciences Meeting, Kissimmee, Florida. Reston, Virginia: AIAA, 2018. AIAA 2018-1548.

ZHAO L, DONG M, YANG Y. Harmonic linearized Navier-Stokes equation on describing the effect of surface roughness on hypersonic boundary-layer transition[J]. Physics of Fluids, 2019, 31(3):034108.

DONG M, LIU Y, WU X. Receptivity of inviscid modes in supersonic boundary layers due to scattering of freestream sound by wall roughness[J]. J Fluid Mech. Under review.

DUAN L, WANG X W, ZHONG X L. Stabilization of a Mach 5.92 boundary layer by two-dimensional finite-height roughness[J]. AIAA Journal, 2013, 51(1):266-270.

FONG K D, WANG X W, ZHONG X L. Numerical simulation of roughness effect on the stability of a hypersonic boundary layer[J]. Computers Fluids, 2014, 96:350-367.

FONG K D, WANG X W, ZHONG X L. Parametric study on stabilization of hypersonic boundary layer waves using 2-D surface roughness[C]//53rd AIAA Aerospace Sciences Meeting, Kissimmee, Florida. Reston, Virginia: AIAA, 2015. AIAA 2015-0837.

CHOUDHARI M. Distributed acoustic receptivity in laminar flow control configurations[J]. Physics of Fluids, 1994, 6(2):489-506.

浏览量

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

关键参数对高速圆锥边界层来流慢声波扰动感受性的影响规律

柔性仿羽毛结构抑制边界层转捩的初步探索

高超声速边界层转捩的若干问题及工程应用研究进展综述

基于OpenCFD-Comb的高焓湍流边界层气体注入的直接数值模拟

侧壁约束下三维燃烧室斜爆轰结构的数值研究