空气动力学学报2024，Vol.42Issue(3)：69-82,14.DOI:10.7638/kqdlxxb-2023.0068
基于调和线性化Navier-Stokes方程的局部感受性
Local receptivity based on harmonic linearized Navier-Stokes equations
摘要
Abstract
The receptivity of Mack mode in the hypersonic boundary layer determines the initial amplitudes of disturbances that trigger transition.Therefore,considering the receptivity is a fundamental prerequisite for developing rational transition prediction methods.The excitation of Mack mode by the interaction between localized wall roughness and incoming acoustic waves is a typical local receptivity process,which can be generally described by three methods,i.e.,the large-Reynolds-number asymptotic theory,the finite-Reynolds-number theory,and direct numerical simulations.However,the first two theories become invalid under the condition of finite-height roughness due to the hypothesis of small(linear)roughness involved,whereas the third method is computationally intensive and not suitable for parametric study.In the present study,an efficient method for computing the local receptivity is developed based on the harmonic linearized Navier-Stokes equation(HLNS),and the local receptivity of Mack mode,induced by the interaction between the acoustic wave and the small/finite-height roughness,is systematically investigated in the hypersonic boundary layer at a Mach number of 5.92.The results suggest that the local receptivity of Mack mode induced by fast acoustic waves is significantly stronger than that of slow acoustic waves.For finite-height roughness,the local receptivity of fast acoustic waves shows a super-linear enhancement with the increase of roughness height within a large range of acoustic parameters.关键词
感受性/粗糙元/调和线性化Navier-Stokes方程/高超声速边界层Key words
receptivity/roughness/HLNS equations/hypersonic boundary layer分类
航空航天引用本文复制引用
黄加昊,赵磊,赵瑞..基于调和线性化Navier-Stokes方程的局部感受性[J].空气动力学学报,2024,42(3):69-82,14.基金项目
国家自然科学基金青年基金(12002235) （12002235）
国家自然科学基金企业联合基金重点项目(U20B2003) （U20B2003）
