同伦分析法求解非线性多孔收缩表面上黏性磁流体的流动

S·纳丁; A·候赛因

doi:10.3879/j.issn.1000-0887.2009.12.008

同伦分析法求解非线性多孔收缩表面上黏性磁流体的流动

doi: 10.3879/j.issn.1000-0887.2009.12.008

奎德伊阿扎穆大学数学系,伊斯兰堡 45320,巴基斯坦

详细信息

中图分类号: O361.3
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出版历程
- 收稿日期: 2009-02-12
- 修回日期: 2009-08-25
- 刊出日期: 2009-12-15

MHD Flow of a Viscous Fluid on a Non-Linear Porous Shrinking Sheet by Homotopy Analysis Method

Department of Mathematics, Quaid-i-Azam University 45320, Islamabad, Pakistan

摘要

摘要: 研究在非线性多孔收缩表面上黏性磁流体(MHD)的流动．先用相似变换简化其控制方程，然后用同伦分析法(HAM)求解该简化问题．用图表的形式对问题的相关参数进行讨论，发现在有磁流体时，收缩解存在．同时得到，在不同参数下f″(0)的解是收敛的．
- MHD流动 /
- 驻点流动 /
- 收缩表面 /
- HAM解
Abstract: The MHD flow of a viscous fluid towards a non-linear porous shrinking sheet was investigated.The governing equations were simplified by similarity transformations and then the reduced problem was solved by homotopy analysis method(HAM).The pertinent parameters appeared in the problem were discussed graphically and through the tables.It is found that the shrinking solutions in the presence of MHD exit.It is also observed from the tables that solutions for f"(0) with different values of parameters are convergent.
- MHD flow /
- stagnation flow /
- shrinking sheet /
- HAM solutions

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参考文献(28)

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