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

发布时间：2018-04-23 06:19

本文选题：可渗透延伸壁面 + 二阶滑移　；参考：《应用数学和力学》2016年08期

【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.
[Abstract]:The stationary point flow problem of incompressible MHD viscous fluid with second-order slip boundary in porous media on the surface of permeable exponentially extended wall is studied. The governing equation describing the stationary point flow is transformed into a nonlinear ordinary differential equation by similar transformation, and MATLAB's bvp5c function is used to solve the nonlinear problem. The effects of first and second order slip parameters, pumping / injection parameters and permeability parameters on velocity distribution and wall shear force are analyzed and discussed. The results show that the velocity increases with the increase of the first order slip parameter, the second order slip parameter, the suction / injection parameter and the permeation parameter when the wall extension velocity is smaller than the outside mainstream velocity in porous media. When the wall extension velocity is larger than the external mainstream velocity, an inverse boundary layer is formed, the velocity decreases, and the absolute value of wall shear force decreases and all of them are negative. The influence of second-order slip parameters on velocity profile and wall shear force is slightly greater than that of first-order slip parameter, and the influence of suction / injection parameters on velocity profile and wall shear force is obviously greater than that of permeability parameter or magnetic field parameter.
【作者单位】：福建船政交通职业学院汽车运用工程系;福州大学机械工程及自动化学院;
【基金】：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)
【分类号】：O357.3

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