幂律速度运动表面上磁流体在驻点附近的滑移流动

朱婧; 郑连存; 张志刚

doi:10.3879/j.issn.1000-0887.2010.04.003

幂律速度运动表面上磁流体在驻点附近的滑移流动

doi: 10.3879/j.issn.1000-0887.2010.04.003

北京科技大学数力系,北京 100083

基金项目: 国家自然科学基金资助项目(50936003);北京科技大学新金属材料国家重点实验室开放课题(2009Z-02);北京科技大学冶金研究院研究基金的资助

详细信息

作者简介:
朱婧(1976- ),女,汉,山西人,博士生;郑连存(1957- ),教授,博士生导师(联系人.Tel:+86-10-62332891;E-mail:liancunzheng@163.com).

中图分类号: O345;O11
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出版历程
- 收稿日期: 2009-11-25
- 修回日期: 2010-01-26
- 刊出日期: 2010-04-15

Effect of the Slip Condition on the MHD Stagnation-Point Flow Over a Power-Law Stretching Sheet

Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083, P. R. China

摘要

摘要: 从理论上研究了具有非线性延伸表面的磁流体在滑移流区的动量传输问题．通过Lee群变换把控制方程组转化为常微分方程组，利用同伦分析方法求得了问题的近似解析解．获得的级数解与文献中的数值解吻合得较好．另外，利用级数解分析滑移参数、磁场强度、速度比率参数、吸入喷注参数和幂律指数对流动的影响．结果显示这些参数对壁剪切力和边界层内流场有较大的影响．
- 边界层 /
- 滑移流 /
- 驻点 /
- Lee群变换 /
- 同伦分析法
Abstract: The steady two-dimensionalm agnetohyd rodynamic stagnation flow towards a nonlinear stretching surface was studied.The no slip condition on the solid boundary was replaced by the partial slip cond ition.A scaling group of transformations was applied to get the invariants. Using the invariants,a third order ordinary differential equation corresponding to the momentum was obtained.The analytical solution was obtained in the series form with the help of homotopy analysis method.The reliability and efficiency of series solutions were illustrated by good agreement with numerical results in the literature.Besides,the effects of the slip parameter,the magnetic field parameter,velocity ratio parameter,suction velocity parameter and the power law exponent on the flow were investigated.Results show that the velocity and shear stress pro files are greatly in fluenced by these parameters.
- boundary-layer /
- slip-flow /
- stagnation point /
- scaling group of transformations /
- homotopy analysis method

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参考文献(21)

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幂律速度运动表面上磁流体在驻点附近的滑移流动

doi: 10.3879/j.issn.1000-0887.2010.04.003

作者简介:
朱婧(1976- ),女,汉,山西人,博士生;郑连存(1957- ),教授,博士生导师(联系人.Tel:+86-10-62332891;E-mail:liancunzheng@163.com).

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Effect of the Slip Condition on the MHD Stagnation-Point Flow Over a Power-Law Stretching Sheet

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幂律速度运动表面上磁流体在驻点附近的滑移流动

doi: 10.3879/j.issn.1000-0887.2010.04.003

作者简介: 朱婧(1976- ),女,汉,山西人,博士生;郑连存(1957- ),教授,博士生导师(联系人.Tel:+86-10-62332891;E-mail:liancunzheng@163.com).

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出版历程

Effect of the Slip Condition on the MHD Stagnation-Point Flow Over a Power-Law Stretching Sheet

计量

出版历程

目录

作者简介:
朱婧(1976- ),女,汉,山西人,博士生;郑连存(1957- ),教授,博士生导师(联系人.Tel:+86-10-62332891;E-mail:liancunzheng@163.com).