| 平板层流边界层的新速度分布函数 |
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| 引用本文： | 邱春,文俊,刘承兰.平板层流边界层的新速度分布函数[J].内江师范学院学报,2014(10):16-18. |
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| 作者姓名： | 邱春 文俊 刘承兰 |
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| 作者单位： | 1. 四川建筑职业技术学院 土木工程系,四川 德阳,618000
2. 重庆水利电力建筑勘测设计研究院,重庆,400020 |
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| 摘 要： | 采用积分关系式方法求解平板层流边界层问题,在满足基本边界条件的基础上提出以雅克比椭圆正弦函数作为新的近似速度分布函数,用最小二乘法确定函数中的待定系数.分析表明新分布函数精度有明显提高,且形式简单,便于工程应用。
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| 关 键 词： | 平板 层流边界层 速度分布 最小二乘法 雅可比椭圆正弦函数 |
A New Velocity Distribution Function for Laminar Boundary Layer on Flat Plate |
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| QIU Chun,WEN Jun,LIU Cheng-lan.A New Velocity Distribution Function for Laminar Boundary Layer on Flat Plate[J].Journal of Neijiang Teachers College,2014(10):16-18. |
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| Authors: | QIU Chun WEN Jun LIU Cheng-lan |
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| Institution: | QIU Chun,WEN Jun,LIU Cheng-lan (1. Department of Civil Engineering of Sichuan College of Architecture Technology, Deyang,Sichuan 618000, China; 2. Chongqing Surveying and Design Institute of Water Resources, Electric Power and Architecture, Chongqing 400020, China) |
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| Abstract: | The integral relational expression is adopted to solve the flat plate laminar boundary layer problem,on the basis of meeting the basic boundary conditions,a Jacobin elliptic sine function is proposed as a new approximate velocity distribution function,using the method of least squares to determine the undetermined coefficient.The velocity profile is in good agreement with the exact solutions corresponding to the boundary layer differential equations.The new distribution function is characteristic of a high accuracy and simpler in form,which is easy for use in engineering application. |
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| Keywords: | flat plate boundary layer velocity distribution method of least squares Jacobin elliptic sine function |
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