迪恩涡运动规律的数值研究  

Numerical Investigation on the Characteristics of Dean Vortices

作　　者：朱辉[1] 湛含辉[1] 李灿[1] 彭彪[1] 

机构地区：[1]湖南工业大学,湖南株洲412008

出　　处：《湖南工业大学学报》2009年第3期58-62,共5页Journal of Hunan University of Technology

基　　金：国家自然科学基金资助项目(20876037)

摘　　要：借助数值方法,在极坐标和笛卡尔坐标系下对迪恩涡运动进行了数学描述,在此基础上,以长500mm、管径50mm的90°弯管为例,从径向速度、轴向速度和速度环量3个因素出发,在不同的迪恩数下对弯管中迪恩涡的运动规律进行数值模拟。结果表明,径向速度在15°～75°截面上变化较小,而在入口和出口处则有剧增现象;轴向速度在整个弯管段呈近似波状变化;速度环量随迪恩数的增大呈近似抛物状变化。Mathematics descriptions of Dean vortices movements were performed under polar coordinates and Cartesian Coordinates respectively through numerical methods. And on the base of the mathematics description, numerical simulation was carried out to study the characteristics of the Dean vortices from the radial velocity, axial velocity and circulation. The results showed that the radial velocity varied slowly in the curved pipes between the cross-section 15° and 75° , while increased significantly in the inlet and outlet of the pipe, and the axial velocity assumed wavy variation in the whole curved pipe, while the circulation assumed parabolic variation as the increment of Dean number.

关 键 词：迪恩涡 90°弯管 迪恩数 数值模拟 

分 类 号：TB126[理学—工程力学]