物理学报2017，Vol.66Issue(1)：220-234,15.DOI:10.7498/aps.66.014703
三维边界层内定常横流涡的感受性研究
Receptivity of the steady cross-flow vortices in three-dimensional boundary layer
摘要
Abstract
The prediction and control of the laminar-turbulent transition are always one of the most concerned frontiers and hot topics.Receptivity is the initial stage of the laminar-turbulent transition process in the boundary layer,which decides the physical process of the turbulent formation.To date,the researches of receptivity in the three-dimensional boundary layer are much less than those in the two-dimensional boundary layer;while most of the real laminar-turbulent transition in practical engineering occurs in three-dimensional boundary layers.Therefore,receptivity under the three-dimensional wall local roughness in a typical three-dimensional boundary layer,i.e.,a 45° back swept infinite flat plate,is numerically studied.And a numerical method for direct numerical simulation (DNS) is constructed in this paper by using fourth order modified Runge-Kutta scheme for temporal march and high-order compact finite difference schemes based on non-uniform mesh for spatial discretization:the convective term is discretized by fifth-order upwind compact finite difference schemes;the pressure term is discretized by sixth-order compact finite difference schemes;the viscous term is discretized by fifth-order compact finite difference schemes;and the pressure equation is solved by third-order finite difference schemes based on non-uniform mesh.As a result,the excited steady cross-flow vortices are observed in the three-dimensional boundary layer.In addition,the relations of three-dimensional boundary-layer receptivity with the length,the width,and the height of three-dimensional wall localized roughness respectively are also ascertained.Then,the influences of the different distributions,the geometrical shapes,and the location to the flat-plate leading-edge of the three-dimensional wall local roughness,and multiple three-dimensional wall local roughness distributed in streamwise and spanwise directions on three-dimensional boundary-layer receptivity are considered.Finally,the effect of the distance between the midpoint of the three-dimensional wall localized roughness and the back-swept angle on three-dimensional boundary-layer receptivity is studied.The intensive research of receptivity in the three-dimensional boundary-layer receptivity will provide the basic theory for awareness and understanding of the laminar-turbulent transition.关键词
感受性/三维边界层/壁面局部粗糙Key words
receptivity/three-dimensional boundary layer/wall localized roughness引用本文复制引用
沈露予,陆昌根..三维边界层内定常横流涡的感受性研究[J].物理学报,2017,66(1):220-234,15.基金项目
Project supported by the National Natural Science Foundation of China (Grant No.11472139),the Startup Foundation for Introducing Talent of NUIST (Grant No.2016r046),the Priority Academic Program Development of Jiangsu Higher Education Institutions,China,and Marine Environment Detection of Engineering Technology Research Center of Jiangsu Province,China.国家自然科学基金(批准号:11472139)、南京信息工程大学人才启动经费(批准号:2016r046)、江苏高校优势学科建设工程和江苏省海洋环境探测工程技术研究中心资助项目. （Grant No.11472139）
