留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

基于HLNS方法对高超声速边界层中非模态扰动演化的研究

孙培成,赵磊,董明

downloadPDF
孙培成, 赵磊, 董明. 基于HLNS方法对高超声速边界层中非模态扰动演化的研究. 力学进展, 2022, 52(1): 180-195 doi: 10.6052/1000-0992-22-003
引用本文: 孙培成, 赵磊, 董明. 基于HLNS方法对高超声速边界层中非模态扰动演化的研究. 力学进展, 2022, 52(1): 180-195doi:10.6052/1000-0992-22-003
Sun P C, Zhao L, Dong M. Study on the evolution of non-modal disturbances in hypersonic boundary layer based on HLNS approach. Advances in Mechanics, 2022, 52(1): 180-195 doi: 10.6052/1000-0992-22-003
Citation: Sun P C, Zhao L, Dong M. Study on the evolution of non-modal disturbances in hypersonic boundary layer based on HLNS approach.AdvancesinMechanics, 2022, 52(1): 180-195doi:10.6052/1000-0992-22-003

基于HLNS方法对高超声速边界层中非模态扰动演化的研究

doi:10.6052/1000-0992-22-003
基金项目:本文受到国家自然科学基金的资助(12002235, U20B2003).
详细信息
    作者简介:

    赵磊, 天津大学机械工程学院助理教授, 硕士生导师. 主要研究领域为流动稳定性、边界层转捩等. 获国家自然科学基金青年基金资助, 参与国家自然科学基金重点基金1项

    通讯作者:

    lei_zhao@tju.edu.cn

  • 中图分类号:O357.4+1

Study on the evolution of non-modal disturbances in hypersonic boundary layer based on HLNS approach

More Information
  • 摘要:高超声速边界层转捩是航天飞行器设计中的基础难题, 发生在线性失稳区上游的亚临界转捩是常规风洞实验中常见的现象. 亚临界转捩一般是由非模态扰动的演化及二次失稳触发的, 为了揭示局部突变对高超声速边界层亚临界转捩的影响机理, 发展了基于谐波型线性化Navier-Stokes (HLNS) 方程及其伴随系统的描述非模态扰动演化的求解框架. 该框架的优点是不改变原始系统的椭圆型特性, 因而可以处理非模态扰动 (条带) 在局部突变附近的快速畸变. 针对马赫数为5.96、攻角为 $ - 4^\circ $ 的高超声速钝平板边界层, 研究了不同深度凹槽对条带幅值的影响. 数值结果表明凹槽对条带有促进作用, 这与实验中发现的规律定性相符, 且存在使促进作用最大的最优凹槽深度.

  • 图 1物理模型示意图

    图 2凹槽附近的网格示意图

    图 3平均流压力等值线图. (a)H= 0.1, (b)H= 0.15, (c)H= 0.2, (d)H= 0.4

    图 4不同深度凹槽下壁面速度剪切率(a)以及壁面压力(b)的流向分布

    图 5凹槽内流向速度等值线图及流线图. (a)H= 0.1, (b)H= 0.15, (c)H= 0.2, (d)H= 0.4

    图 6固定入口(a)、出口(b)时不同计算域下最优能量增益随展向波数的变化

    图 7最优扰动在入口(a)、出口(b)处的特征函数剖面( $ \beta = 2.8 $ )

    图 8(a) HLNS与DNS计算的幅值Au对比, (b)及流向速度扰动的空间结构( $ \beta = 2.8 $ )

    图 9(a)不同深度凹槽下的最优能量增益随展向波数的变化, (b)最优能量增益随凹槽深度的变化

    图 10(a) HLNS与DNS计算的凹槽作用下的幅值Au对比, (b)及流向速度扰动的空间结构(H= 0.2, $ \beta = 2.8 $ )

    图 11不同深度凹槽下的最优扰动的能量 $ E(x) $ (a)以及归一化能量 $ \bar E(x) $ (b)沿流向的演化

    图 12放大因子 $T$ 随着凹槽深度H的分布( $ \beta = 2.8 $ )

    A1不同网格数下的速度(a)、密度(b)剖面对比

  • [1] 董明. 2020. 边界层转捩预测中的局部散射理论. 空气动力学学报,38: 286-298 (Dong M. 2020. Local scattering theory for transition prediction in boundary-layer flows.Acta Aerodynamica Sinica,38: 286-298).
    [2] 李强, 赵磊, 陈苏宇, 江涛, 庄宇, 张扣立. 2020. 展向凹槽及泄流孔对高超声速平板边界层转捩影响的试验研究. 物理学报,69: 024703 (Li Q, Zhao L, Chen S Y, Jiang T, Zhuang Y, Zhang K L. 2020. Experimental study on effect of transverse groove with/without discharge hole on hypersonic blunt flat-plate boundary layer transition.Acta Phys Sin,69: 024703).doi:10.7498/aps.69.20191155
    [3] 李斯特, 董明. 2021. 局部散射理论在高超声速边界层转捩预测中应用的检验. 力学进展,51: 364-375 (Li S T, Dong M. 2021. Verification of local scattering theory as is applied to transition prediction in hypersonic boundary layers.Advances in Mechanics,51: 364-375).doi:10.6052/1000-0992-21-016
    [4] 赵磊. 2017. 高超声速后掠钝板边界层横流定常涡失稳的研究. [博士论文]. 天津: 天津大学

    Zhao L. 2017. Study on instability of stationary crossflow vortices in hypersonic swept blunt plate boundary layers. [PhD Thesis]. Tianjin: Tianjin University
    [5] Dong M, Li C. 2021. Effect of two-dimensional short rectangular indentations on hypersonic boundary-layer transition.AIAA Journal,59: 7 DOI:10.2514/1.J059957.
    [6] Dong M, Liu Y H, Wu X S. 2020. Receptivity of inviscid modes in supersonic boundary layers due to scattering of free-stream sound by localised wall roughness.Journal of Fluid Mechanics,896: A23.doi:10.1017/jfm.2020.358
    [7] Dong M, Zhao L. 2021. An asymptotic theory of the roughness impact on inviscid Mack modes in supersonic/hypersonic boundary layers.Journal of Fluid Mechanics,913: A22.doi:10.1017/jfm.2020.1146
    [8] Henningson D. 1995. Bypass transition and linear growth mechanisms.Advances in Turbulence V. Springer,1: 190-204.
    [9] Leib S J, Wundrow D W, Goldstein M E. 1999. Effect of free-stream turbulence and other vortical disturbances on a laminar boundary layer.Journal of Fluid Mechanics,380: 169-203.doi:10.1017/S0022112098003504
    [10] Liu Y H, Dong M, Wu X S. 2020. Generation of first Mack modes in supersonic boundary layers by slow acoustic waves interacting with streamwise isolated wall roughness.Journal of Fluid Mechanics,888: A10.doi:10.1017/jfm.2020.38
    [11] Luchini P. 2000. Reynolds-number-independent instability of the boundary layer over a flat surface optimal perturbations.Journal of Fluid Mechanics,404: 289-309.doi:10.1017/S0022112099007259
    [12] Paredes P, Choudhari M M, Li F, et al. 2016. Optimal growth in hypersonic boundary layers.AIAA Journal,54: 3050-3061.doi:10.2514/1.J054912
    [13] Paredes P, Choudhari M M, Li F. 2017. Blunt-body paradox and transient growth on a hypersonic spherical forebody.Physical Review Fluids,2: 053903.doi:10.1103/PhysRevFluids.2.053903
    [14] Paredes P, Choudhari M M, Li F, et al. 2018. Nose-tip bluntness effects on transition at hypersonic speeds.Journal of Spacecraft and Rockets,56: 1-19.doi:10.2514/1.A34277
    [15] Ricco P, Luo J S, Wu X S. 2011. Evolution and instability of unsteady nonlinear streaks generated by free-stream vortical disturbances.Journal of Fluid Mechanics,677: 1-38.doi:10.1017/jfm.2011.41
    [16] Song R, Zhao L, Huang Z. F. 2020. Improvement of the parabolized stability equation to predict the linear evolution of disturbances in three-dimensional boundary layers based on ray tracing theory.Physical Review Fluids,5: .doi:10.1103/PhysRevFluids.5.033901
    [17] Tempelmann D, Hanifi A, Henningson D S. 2010. Spatial optimal growth in three-dimensional boundary layers.Journal of Fluid Mechanics,646: 5-37.doi:10.1017/S0022112009993260
    [18] Tempelmann D, Hanifi A, Henningson D S. 2012. Spatial optimal growth in three-dimensional compressible boundary layers.Journal of Fluid Mechanics,704: 251-279.doi:10.1017/jfm.2012.235
    [19] Trefethen L N, Trefethen A E, Reddy S C, et al. 1993. Hydrodynamic stability without eigenvalues.Science,261: 578-584.doi:10.1126/science.261.5121.578
    [20] Tumin A, Reshotko E. 2001. Spatial theory of optimal disturbances in boundary layers.Physics of Fluids,13: 2097-2104.doi:10.1063/1.1378070
    [21] Wu X S, Dong M. 2016. 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,794: 68-108.doi:10.1017/jfm.2016.125
    [22] Zhang A Y, Dong M, Zhang Y M. 2018. Receptivity of secondary instability modes in streaky boundary layers.Physics of Fluids,30: 114102.doi:10.1063/1.5046136
    [23] Zhao L, Zhang C B, Liu J X, Luo J S. 2016. Improved algorithm for solving nonlinear parabolized stability equations.Chinese Physics B,25: 084701.doi:10.1088/1674-1056/25/8/084701
    [24] Zhao L, Dong M, Yang Y G. 2019. Harmonic linearized Navier-Stokes equation on describing the effect of surface roughness on hypersonic boundary-layer transition.Physics of Fluids,31: 034108.doi:10.1063/1.5086912
    [25] Zhao L, Dong M. 2020. Effect of suction on laminar-flow control in subsonic boundary layers with forward-/backward-facing steps.Physics of Fluids,32: 054108.doi:10.1063/5.0007624
  • 加载中
图(13)
计量
  • 文章访问数:1120
  • HTML全文浏览量:354
  • PDF下载量:124
  • 被引次数:0
出版历程
  • 收稿日期:2022-01-13
  • 录用日期:2022-02-24
  • 网络出版日期:2022-03-04
  • 刊出日期:2022-03-25

目录

    /

      返回文章
      返回

        Baidu
        map