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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 被引量：5

MHD Flow of a Viscous Fluid on a Non-Linear Porous Shrinking Sheet by Homotopy Analysis Method
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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. 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.
作者 S·纳丁 A·候赛因 海治(译) 张禄坤(校)
机构地区 奎德伊阿扎穆大学数学系 不详
出处 《应用数学和力学》 CSCD 北大核心 2009年第12期1473-1481,共9页 Applied Mathematics and Mechanics
关键词 MHD流动 驻点流动 收缩表面 HAM解 MHD flow stagnation flow shrinldng sheet HAM solutions
分类号 O361.3 [理学—流体力学]
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参考文献28

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同被引文献48

  • 1Fang T, Liang W, Lee C F. A new solution branch for the Blasius equation a shrinking sheet problem [ J ]. Computers and Mathematics With Applications, 2008,56 ( 12 ) : 3088-3095.
  • 2Hayat T, Javad T, Sajid M. Analytic solution for MHD rotating flow of a second grade fluid over a shriking surface[J]. Physics Letters A, 2008,372(18) :3254-3273.
  • 3Wang C Y. Stagnation flow towards a shrinking sheet[J].International Journal of Non-Linear Mechanics, 2008,43 ( 5 ) : 377-382.
  • 4Nadeem S, Awais M. Thin flim flow of an unsteady shrinking sheet through porous medium with variable viscosity[J]. Physics Letters A, 2008, 372(30): 4955-4972.
  • 5Fang T. Boundary layer flow over a shrinking sheet with power-law velocity[ J]. International Journal of Heat and Mass Transfer, 2008, 51(25/26) : 5838-5843.
  • 6Fang T, Zhang J. Closed-form exact solutions of MHD viscous flow over a shrinking sheet [J]. Communications in Non-Linear Science and Numerical Simulation, 2009,14 ( 7 ) : 2853-2857.
  • 7Cortell R. Viscous flow and heat transfer overa non-linearly stretching sheet [ J ]. Applied Mathematics and Computation, 2007, 184 (2) : 854-873.
  • 8Sedid M, Hayat T, Asghar S, Vajravelu K. Analytical solution for axisymmetric flow over a non-linear stretching sheet[J]. Archive of Applied Mechanics, 2008, 78 : 127-134.
  • 9Prasad K V, Vajravelu K, Datti P S. The effect of variable fluid properties on the hydromag- netic flow and heat transfer over a non-linearly stretching sheet[J].International Journal of Thermal Science, 2010, 49(3): 603-610.
  • 10Prasad K V, Vajravelu K, Datti P S. Mixed convection heat transfer over a non-linear stretc- hing surface with variable fluid properties[J]. International Journal of Non-Linear Mechanics, 2010, 45(3): 320-330.

引证文献5

二级引证文献8

应用数学和力学
2009年 第12期

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