超声速边界层中的模态转换及壁温影响效应
发布时间：2021-07-02 21:05
对于马赫数大于4的超声速边界层,Mack第二模态起主导作用。根据感受性的研究,生成第二模态的一个重要途径是,边界层内的快模态在下游演化过程中因相速度"同步"而发生模态转换。采用数值方法研究了超声速平板边界层中快模态到第二模态波的模态转换过程,通过定义模态转换系数和模态转换区间,建立了适用于多个不同壁面温度条件下的模态转换系数和转换区间与扰动频率之间的模型公式。在此基础上,基于线性稳定性理论,发展了包含模态转换过程的扰动演化的计算方法,并采用抛物化稳定性方程进行了验证。结果表明,在较广泛的壁面温度条件下,该方法可以准确计算包含快模态到第二模态转换过程的幅值演化。该方法由于考虑了第二模态的生成机制,比原有的基于线性理论的转捩预测方法更加具有物理依据。
【文章来源】：空气动力学学报. 2020,38(06)北大核心CSCD
【文章页数】：8 页
【部分图文】：
快、慢模态的相速度和增长率
入口处快模态的特征函数
快模态向下游的演化
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博士论文
[1]超声速边界层的稳定性分析方法及声波感受性[D]. 高军.天津大学 2014
[2]PSE在可压缩边界层中扰动演化和超音速边界层二次失稳中的应用[D]. 张永明.天津大学 2008
本文编号：3261228
【文章来源】：空气动力学学报. 2020,38(06)北大核心CSCD
【文章页数】：8 页
【部分图文】：
快、慢模态的相速度和增长率
入口处快模态的特征函数
快模态向下游的演化
【参考文献】：
期刊论文
[1]Response of a hypersonic blunt cone boundary layer to slow acoustic waves with assessment of various routes of receptivity[J]. Bingbing WAN,Jisheng LUO,Caihong SU. Applied Mathematics and Mechanics（English Edition）. 2018(11)
[2]高超声速边界层转捩研究现状与发展趋势[J]. 陈坚强,涂国华,张毅锋,徐国亮,袁先旭,陈诚. 空气动力学学报. 2017(03)
[3]Linear spatial instability analysis in 3D boundary layers using plane-marching 3D-LPSE[J]. Jianxin LIU,Shaolong ZHANG,Song FU. Applied Mathematics and Mechanics（English Edition）. 2016(08)
[4]Receptivity of hypersonic boundary layer due to fast-slow acoustics interaction[J]. Jun Gao,Ji-Sheng Luo,Xue-Song Wu. Acta Mechanica Sinica. 2015(06)
[5]高超声速边界层的转捩及预测[J]. 罗纪生. 航空学报. 2015(01)
[6]Transition prediction of the supersonic boundary layer on a cone under the consideration of receptivity to slow acoustic waves[J]. SU CaiHong1,2*& ZHOU Heng11Department of Mechanics, Tianjin University, Tianjin 300072, China;2Tianjin Key Laboratory of Modern Engineer Mechanics, Tianjin 300072, China. Science China（Physics,Mechanics & Astronomy）. 2011(10)
[7]Transition prediction for supersonic and hypersonic boundary layers on a cone with angle of attack[J]. SU CaiHong1 & ZHOU Heng1,2 1 Department of Mechanics,Tianjin University,Tianjin 300072,China;2 Liu-Hui Center of Applied Mathematics,Nankai University and Tianjin University,Tianjin 300072,China. Science in China（Series G:Physics,Mechanics & Astronomy）. 2009(08)
[8]Verification of parabolized stability equations for its application to compressible boundary layers[J]. 张永明,周恒. Applied Mathematics and Mechanics（English Edition）. 2007(08)
博士论文
[1]超声速边界层的稳定性分析方法及声波感受性[D]. 高军.天津大学 2014
[2]PSE在可压缩边界层中扰动演化和超音速边界层二次失稳中的应用[D]. 张永明.天津大学 2008
本文编号：3261228
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