基于二阶滑移边界的MHD在可渗透延伸壁面上的驻点流研究

许晓勤; 陈淑梅

doi:10.21656/1000-0887.370032

基于二阶滑移边界的MHD在可渗透延伸壁面上的驻点流研究

doi: 10.21656/1000-0887.370032

许晓勤^1,2,
陈淑梅²

¹福建船政交通职业学院汽车运用工程系, 福州 350007;²福州大学机械工程及自动化学院, 福州 350116

基金项目: 2012年度中央财政支持地方高校发展专项资金（闽教财\[2012\]788号）

详细信息

作者简介:
许晓勤（1981—），女，讲师，博士生（通讯作者. E-mail: m140210004@fzu.edu.cn);陈淑梅（1960—），女，教授，博士生导师.

中图分类号: O351.2
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- 被引次数: 0
出版历程
- 收稿日期: 2016-01-22
- 修回日期: 2016-02-15
- 刊出日期: 2016-08-15

Study on MHD Stagnation-Point Flow Over Permeable Stretching Sheets With 2nd-Order Slip Boundaries

XU Xiao-qin^1,2,
CHEN Shu-mei²

¹Automobile Application Engineering Dept., Fujian Chuanzheng Communications College, Fuzhou 350007, P.R.China;²School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou 350116, P.R.China

摘要

摘要: 研究了多孔介质中带二阶滑移边界的不可压缩MHD粘性流体在可渗透指数延伸壁面上的驻点流问题.通过相似变换将描述驻点流的控制方程转换为非线性常微分方程，并利用MATLAB的bvp5c函数求解非线性问题.分析并讨论了一、二阶滑移参数，抽吸/喷注参数以及渗透参数对速度分布和壁面剪切力的影响.结果显示在多孔介质中当壁面延伸速度小于外界主流速度时，随着一阶滑移参数、二阶滑移参数绝对值、抽吸/喷注参数以及渗透参数的增大，速度增大，壁面剪切力减小且均为正数；而当壁面延伸速度大于外界主流速度时形成一个反边界层，速度减小，壁面剪切力绝对值也减小且均为负数；二阶滑移参数对速度剖面和壁面剪切力的影响略大于一阶滑移参数的影响，抽吸/喷注参数对速度剖面和壁面剪切力的影响明显大于渗透参数或磁场参数的影响.
- 可渗透延伸壁面 /
- 二阶滑移 /
- MHD /
- 驻点流 /
- 边界层
Abstract: The incompressible MHD viscous flow with 2nd-order slip about stagnation points over permeable exponentially stretching sheets in porous media was studied. The governing equations describing the stagnation point flow were reduced to nonlinear differential equations through the similarity transformations. Then the bvp5c function in MATLAB was employed to solve the nonlinear problem. Finally, the effects of the 1st- and 2nd-order slip parameters, the suction/injection parameter and the permeability parameter on the velocity and the skin friction were analyzed and discussed. The results show that the velocity increases but the skin friction decreases and is positive with the 1st-order slip parameter and the absolute value of the 2nd-order slip parameter, the suction/injection parameter and the permeability parameter, when the sheet’s stretching velocity is smaller than the external mainstream velocity; however, an anti-boundary layer forms, the velocity decreases and the absolute value of the skin friction also decreases but is negative, when the sheet’s stretching velocity is larger than the external mainstream velocity. The effect of the 2nd-order slip parameter is slightly greater than that of the 1st-order slip parameter on the velocity and the skin friction, and the effect of the suction/injection parameter is significantly greater than that of the permeability parameter.
- permeable stretching sheet /
- 2nd-order slip /
- MHD /
- stagnation-point flow /
- boundary layer

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参考文献(29)

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基于二阶滑移边界的MHD在可渗透延伸壁面上的驻点流研究

doi: 10.21656/1000-0887.370032

作者简介:
许晓勤（1981—），女，讲师，博士生（通讯作者. E-mail: m140210004@fzu.edu.cn);陈淑梅（1960—），女，教授，博士生导师.

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Study on MHD Stagnation-Point Flow Over Permeable Stretching Sheets With 2nd-Order Slip Boundaries

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留言板

基于二阶滑移边界的MHD在可渗透延伸壁面上的驻点流研究

doi: 10.21656/1000-0887.370032

作者简介: 许晓勤（1981—），女，讲师，博士生（通讯作者. E-mail: m140210004@fzu.edu.cn);陈淑梅（1960—），女，教授，博士生导师.

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出版历程

Study on MHD Stagnation-Point Flow Over Permeable Stretching Sheets With 2nd-Order Slip Boundaries

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出版历程

目录

作者简介:
许晓勤（1981—），女，讲师，博士生（通讯作者. E-mail: m140210004@fzu.edu.cn);陈淑梅（1960—），女，教授，博士生导师.