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论文:2020,Vol:38,Issue(2):253-260 |
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陆连山, 李栋. 利用双参数非线性拟合求解湍流边界层壁面摩擦速度[J]. 西北工业大学学报 |
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LU Lianshan, LI Dong. Determination of Wall Friction Velocity of the Turbulent Boundary Layer by Two-Parameter Nonlinear Curve Fitting[J]. Northwestern polytechnical university |
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| 利用双参数非线性拟合求解湍流边界层壁面摩擦速度 |
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| 陆连山, 李栋 |
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| 西北工业大学 航空学院, 陕西 西安 710072 |
| 摘要: |
| 热线风速仪是流场测量的基本手段，广泛应用于湍流研究。在低速风洞中用绊线和粗糙带获得充分发展的湍流边界层流动，利用IFA-300恒温热线风速仪测量了湍流边界层不同流向站位的时均速度型。以湍流边界层的无量纲速度型模型White Law为目标曲线，分析了通过速度型拟合反推壁面摩擦速度方法的应用问题，编制了关于双参数壁面坐标理论零点位置y0和壁面摩擦速度uτ的非线性曲线拟合MATLAB程序。以实验测量的测点速度为原始拟合数据，讨论了初始搜索区间和搜索步长、拟合数据范围对拟合结果的影响，并最终求解得到y0和uτ。研究结果表明：所提方法编程思路简单，容易实现，合理选取用于曲线拟合的测点速度数据范围，利用该方法可以求得较高精度的壁面摩擦速度值。 |
| 关键词:
湍流边界层
White Law
无量纲速度型
壁面摩擦速度
非线性拟合
热线风速仪
MATLAB程序
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| Determination of Wall Friction Velocity of the Turbulent Boundary Layer by Two-Parameter Nonlinear Curve Fitting |
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| LU Lianshan, LI Dong |
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| School of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, China |
| Abstract: |
| Hot-wire anemometer is a fundamental tool for flow field measurement, and has been widely adopted in research of turbulent flow. A turbulent boundary layer was generated by a trip wire and a piece of sandpaper in the low-speed wind tunnel, and the time-averaged velocity profiles at three different streamwise stations in the boundary layer were measured with IFA-300 constant temperature anemometer. Targeting the dimensionless velocity profile model White Law of the turbulent boundary layer, a nonlinear curve fitting MATLAB program for two parameters, which were theoretical original point of wall coordinate y0 and wall friction velocity uτ, was developed. Based on the measured time-averaged velocity profiles, the program was adopted to determine y0 and uτ of the three streamwise stations. It is found that the initial search domain and search step size of y0 and uτ have no effect on the fitting results if the physical solutions are included in the domain. It is also found that the selected fitting velocities data are closely related to the results. The value of the friction velocity with high precision will be obtained by this nonlinear curve fitting method if the highest fitting velocity data point dose not fall into the wake region. The method given in this paper is simple in programming and reliable in fitting results, and it is of practical to obtain the wall friction velocity of the turbulent boundary layer. |
| Key words:
turbulent boundary layer
White Law
dimensionless velocity profile
wall friction velocity
nonlinear curve fitting
hot-wire anemometer
MATLAB program
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| 收稿日期: 2019-06-20
修回日期:
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| DOI: 10.1051/jnwpu/20203820253 |
| 基金项目: 中欧航空科技合作项目（MJ-2015-H-F-106）资助 |
| 通讯作者:
Email： |
| 作者简介: 陆连山(1986-),西北工业大学博士研究生,主要从事飞行器设计空气动力学、流动控制研究。
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| 李栋 在本刊中的所有文章 |
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