高速平板边界层中定常条带的前缘感受性

刘洋; 赵磊

doi:10.7638/kqdlxxb-2023.0065

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 >

高速平板边界层中定常条带的前缘感受性

研究论文 | 更新时间：2026-05-28

- 高速平板边界层中定常条带的前缘感受性
- Leading-edge receptivity of steady streaks in a hypersonic flat-plate boundary layer
- 空气动力学学报 2024年42卷第4期页码：14-26
- 作者机构：
  
  1. 天津大学力学系,天津,300350
  2. 天津市现代工程力学重点实验室,天津,300350
- 作者简介：
  
  刘洋（1990—），男，河北人，硕士研究生，研究方向：流动稳定性与边界层转捩. E-mail：898871377@qq.com
  赵磊*，副教授，研究方向：流动稳定性与边界层转捩. E-mail：lei_zhao@tju.edu.cn
- 基金信息：
  
  国家自然科学基金青年基金（12002235）;国家自然科学基金企业联合基金重点项目（U20B2003）
- DOI：10.7638/kqdlxxb-2023.0065
  中图分类号： V211;V411;O357.4
- 纸质出版：2024
- 稿件说明：
移动端阅览
刘洋, 赵磊. 高速平板边界层中定常条带的前缘感受性[J]. 空气动力学学报, 2024, 42(4): 14−26.

LIU Yang, ZHAO Lei. Leading-edge receptivity of steady streaks in a hypersonic flat-plate boundary layer[J]. 2024, 42(4): 14-26.
刘洋, 赵磊. 高速平板边界层中定常条带的前缘感受性[J]. 空气动力学学报, 2024, 42(4): 14−26. DOI： 10.7638/kqdlxxb-2023.0065

LIU Yang, ZHAO Lei. Leading-edge receptivity of steady streaks in a hypersonic flat-plate boundary layer[J]. 2024, 42(4): 14-26. DOI： 10.7638/kqdlxxb-2023.0065.

摘要

来流湍流度较高时，自由流涡波可在边界层内激发流向条带结构，并引起边界层的旁路（bypass）转捩。本文采用调和线性化Navier-Stokes方程（harmonic linearized Navier-Stokes

HLNS）方法模拟平板边界层条带对自由流涡波的前缘感受性，并通过直接数值模拟验证了HLNS方法的可靠性。针对马赫数4.8的高速平板边界层，分析了零频涡波激发定常条带的前缘感受性过程及定常条带的演化规律。研究结果表明，边界层外的自由流涡扰动对边界层条带的发展存在持续的激励作用；对于固定展向波数的自由流涡波，法向波数为0时激发的条带幅值最大；自由流涡波的法向波数在小于临界角度时仅影响条带的幅值，而不影响条带扰动的形函数剖面。随着当地雷诺数的增加，条带的幅值演化和形函数剖面呈现出很好的相似性；当地无量纲展向波数

= 0.18时，归一化幅值最大。

Abstract

Free-stream vortical waves can excite streamwise streaks and trigger the bypass transition of boundary layers subjected to a large magnitude of free-stream turbulence. In this paper

the harmonic linearized Navier-Stokes (HLNS) method is applied to simulate the leading-edge receptivity of streaks to free-stream vortical waves

and its reliability is validated by direct numerical simulations. For a supersonic flat-plate boundary layer in the condition of Mach number 4.8

a systematic analysis was conducted on the leading-edge receptivity process of steady streaks excited by zero-frequency vortical waves and the evolution of these steady streaks. Results suggest that the development of streaks is forced continuously by free-stream vortical waves outside the boundary layer. The amplitude of the generated streak reaches the maximum when the vertical wavenumber is zero for free-stream vortical waves with specified spanwise wavenumbers. When the vertical wavenumber is less than the critical angle

it affects the amplitudes but not the shape functions of streaks. As the local Reynolds number increases

the streaks' amplitude evolutions and the shape functions exhibit strong similarity. The peak normalized amplitude of the streaks occurs at a local non-dimensional spanwise wave number of about 0.18.

关键词

Keywords

references

CHEN J Q, TU G H, ZHANG Y F, et al. Hypersnonic boundary layer transition: what we know, where shall we go[J]. Acta Aerodynamica Sinica, 2017, 35(3): 311-337 (in Chinese).

YANG W B, SHEN Q, ZHU D H, et al. Tendency and current status of hypersonic boundary layer transition[J]. Acta Aerodynamica Sinica, 2018, 36(2): 183-195(in Chinese).

LUO J S. Transition and prediction for hypersonic boundary layers[J]. Acta Aeronautica et Astronautica Sinica, 2015, 36(1): 357-372 (in Chinese).

DRYDEN H L. Transition from laminar to turbulent flow at subsonic and supersonic speeds[C]// Conference on High-Speed Aeronautics. New York: Polytechnic of Brooklyn Press, 1955: 41-66.

GOLDSTEIN M E. The evolution of Tollmien-Sclichting waves near a leading edge[J]. Journal of Fluid Mechanics, 1983, 127: 59-81. DOI: 10.1017/s002211208300261x

DUCK P W, RUBAN A I, ZHIKHAREV C N. The generation of Tollmien-Schlichting waves by free-stream turbulence[J]. Journal of Fluid Mechanics, 1996, 312: 341-371. DOI: 10.1017/s0022112096002042

HERBERT T. Secondary instability of boundary layers[J]. Annual Review of Fluid Mechanics, 1988, 20: 487-526. DOI: 10.1146/annurev.fl.20.010188.002415

MORKOVIN M V. Bypass transition to turbulence and research Desiderata, 85N31442[R]. NASA, 1985.

DRYDEN H L. Air flow in the boundary layer near a plate[J]. Journal of Applied Physics, 1936, 7(10): 405-418.

TAYLOR G. Some recent developments in the study of turbulence[C]// Fifth International Congress for Applied Mechanics, 1939: 294–310.

KLEBANOFF P. Effect of free-stream turbulence on a laminar boundary layer[J]. Bulletin of the American Physical Society, 1971, 16: 138.

KENDALL J M. Studies on laminar boundary-layer receptivity to freestream turbulence near a leading edge[J]. Boundary Layer Stability and Transition to Turbulence, 1991, 114: 23–30.

WESTIN K J A, BOIKO A V, KLINGMANN B G B, et al. Experiments in a boundary layer subjected to free stream turbulence. Part 1. Boundary layer structure and receptivity[J]. Journal of Fluid Mechanics, 1994, 281: 193-218. DOI: 10.1017/s0022112094003083

MATSUBARA M, ALFREDSSON P H. Disturbance growth in boundary layers subjected to free-stream turbulence[J]. Journal of Fluid Mechanics, 2001, 430: 149-168. DOI: 10.1017/s0022112000002810

KENDALL J. Experiments on boundary-layer receptivity to freestream turbulence[C]// 36th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, USA. Reston, Virigina: AIAA, 1998: 1-14. doi: 10.2514/6.1998-530

WU X S, CHOUDHARI M. Linear and nonlinear instabilities of a Blasius boundary layer perturbed by streamwise vortices. Part 2. Intermittent instability induced by long-wavelength Klebanoff modes[J]. Journal of Fluid Mechanics, 2003, 483: 249-286.

BERTOLOTTI F P. Response of the Blasius boundary layer to free-stream vorticity[J]. Physics of Fluids, 1997, 9(8): 2286-2299. DOI: 10.1063/1.869350

LEIB S J, WUNDROW D W, GOLDSTEIN M E. Effect of free-stream turbulence and other vortical disturbances on a laminar boundary layer[J]. Journal of Fluid Mechanics, 1999, 380: 169-203. DOI: 10.1017/s0022112098003504

KEMP N H. The laminar three-dimensional boundary layer and a study of the flow past a side edge[D]. New York: Cornell University, 1951.

RICCO P, WU X S. Response of a compressible laminar boundary layer to free-stream vortical disturbances[J]. Journal of Fluid Mechanics, 2007, 587: 97-138. DOI: 10.1017/s0022112007007070

RICCO P, LUO J S, WU X S. Evolution and instability of unsteady nonlinear streaks generated by free-stream vortical disturbances[J]. Journal of Fluid Mechanics, 2011, 677: 1-38. DOI: 10.1017/jfm.2011.41

MARENSI E, RICCO P, WU X S. Nonlinear unsteady streaks engendered by the interaction of free-stream vorticity with a compressible boundary layer[J]. Journal of Fluid Mechanics, 2017, 817: 80-121. DOI: 10.1017/jfm.2017.88

ANDERSSON P, BERGGREN M, HENNINGSON D S. Optimal disturbances and bypass transition in boundary layers[J]. Physics of Fluids, 1999, 11(1): 134-150. DOI: 10.1063/1.869908

LUCHINI P. Reynolds-number-independent instability of the boundary layer over a flat surface: optimal perturbations[J]. Journal of Fluid Mechanics, 2000, 404: 289-309. DOI: 10.1017/s0022112099007259

TUMIN A, RESHOTKO E. Spatial theory of optimal disturbances in boundary layers[J]. Physics of Fluids, 2001, 13(7): 2097-2104. DOI: 10.1063/1.1378070

TUMIN A, RESHOTKO E. Optimal disturbances in compressible boundary layers[J]. AIAA Journal, 2003, 41(12): 2357-2363. DOI: 10.2514/2.6860

ANDERSSON P, BRANDT L, BOTTARO A, et al. On the breakdown of boundary layer streaks[J]. Journal of Fluid Mechanics, 2001, 428: 29-60. DOI: 10.1017/s0022112000002421

BRANDT L, HENNINGSON D S. Transition of streamwise streaks in zero-pressure-gradient boundary layers[J]. Journal of Fluid Mechanics, 2002, 472: 229-261. DOI: 10.1017/s0022112002002331

PAREDES P, CHOUDHARI M M, LI F. Transition due to streamwise streaks in a supersonic flat plate boundary layer[J]. Physical Review Fluids, 2016, 1(8): 083601. DOI: 10.1103/physrevfluids.1.083601

PAREDES P, CHOUDHARI M M, LI F. Instability wave-streak interactions in a high Mach number boundary layer at flight conditions[J]. Journal of Fluid Mechanics, 2019, 858: 474-499. DOI: 10.1017/jfm.2018.744

OVCHINNIKOV V, CHOUDHARI M M, PIOMELLI U. Numerical simulations of boundary-layer bypass transition due to high-amplitude free-stream turbulence[J]. Journal of Fluid Mechanics, 2008, 613: 135-169. DOI: 10.1017/s0022112008003017

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. DOI: 10.1063/1.5086912

ZHAO L, DONG M. Effect of suction on laminar-flow control in subsonic boundary layers with forward-/backward-facing steps[J]. Physics of Fluids, 2020, 32(5): 054108. DOI: 10.1063/5.0007624

ZHAO L, DONG M. Effect of surface temperature strips on the evolution of supersonic and hypersonic Mack modes: Asymptotic theory and numerical results[J]. Physical Review Fluids, 2022, 7(5): 053901. DOI: 10.1103/physrevfluids.7.053901

DONG M. Local scattering theory for transition prediction in boundary-layer flows[J]. Acta Aerodynamica Sinica, 2020, 38(2): 13-24 (in Chinese).

HUANG J H, ZHAO L, ZHAO R. Study of local receptivity based on harmonic linearized Navier-Stokes equationss[J]. Acta Aerodynamica Sinica, 2024, 42(3): 69−82(in Chinese). doi: 10.7638/kqdlxxb-2023.0068

SUN P C, ZHAO L, and DONG M. Study on the evolution of non-modal disturbances in hypersonic boundary layer based on HLNS approach [J]. Advances in Mechanics, 2022, 52(1): 16-29 (in Chinese).

SONG Q Y, ZHAO L. Scattering of Mack modes by solid-porous junctions in hypersonic boundary layers[J]. Physics of Fluids, 2022, 34(8): 084104. DOI: 10.1063/5.0106314

ZHAO L. Study on instability of stationary crossflow vortices in hypersonic swept blunt plate boundary layers [D]. Tianjin: Tianjin University, 2017 (in Chinese).doi:1.1018.062274

ZHAO L, ZHANG C B, LIU J X, et al. Improved algorithm for solving nonlinear parabolized stability equations[J]. Chinese Physics B, 2016, 25(8): 084701. DOI: 10.1088/1674-1056/25/8/084701

ZHAO L, YU G T, LUO J S. Extension of e N method to general three-dimensional boundary layers[J ] . Applied Mathematics and Mechanics, 2017, 38(7): 1007-1018. DOI: 10.1007/s10483-017-2215-6

SONG R J, ZHAO L, HUANG Z F. Improvement of the parabolized stability equation to predict the linear evolution of disturbances in three-dimensional boundary layers based on ray tracing theory[J]. Physical Review Fluids, 2020, 5(3): 033901. DOI: 10.1103/physrevfluids.5.033901

LANDAHL M T. Wave breakdown and turbulence[J]. SIAM Journal on Applied Mathematics, 1975, 28(4): 735-756. DOI: 10.1137/0128061

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

离心通风机降噪研究进展

安装效应对螺旋桨纯音噪声的影响

类HyTRV升力体阻尼/交叉动导数特性分析

基于Ac-准则的最优输入设计方法

基于LBM方法的LAGOON起落架噪声预测与降噪方法研究