期刊文献+

微极流体在两个伸展平面之间的不稳定轴对称MHD流动 被引量:5

Axisymmetric Magnetohydrodynamic flow of a Micropolar Fluid Between Unsteady Stretching Surfaces
下载PDF
导出
摘要 研究在两个径向伸展的平面之间,微极流体作随时间变化的磁流体动力学(MHD)流动.考虑了高浓度微元(n=0)和低浓度微元(n=0.5)两种情况.使用恰当的变换,将偏微分方程转换为常微分方程.用同伦分析法(HAM),对变换后的方程求解.给出不同参数下,角速度、表面摩擦因数和面应力偶系数的图形结果. This investigation examines the time dependent MHD flow problem of a micropolar fluid between two radially stretching sheets.Both the cases(n=0,0.5) of strong and weak concentrations of microelements are taken into account.Suitable transformations were employed for the conversion of partial differential equations into the ordinary differential equations.The solutions of the resulting problems were developed by a homotopy analysis method(HAM).Angular velocity,skin friction coefficient and wall couple stress coefficient were illustrated for various parameters of interest.
出处 《应用数学和力学》 CSCD 北大核心 2011年第3期344-356,共13页 Applied Mathematics and Mechanics
基金 巴基斯坦高等教育委员会基金资助项目 沙特阿拉伯国王大学在KSU-VPP-103下的资金赞助
关键词 微极流体 径向伸展 同伦分析法 表面摩擦因数 面应力偶系数 micropolar fluid radial stretching homotopy analysis solution skin friction coefficient wall couple stress coefficient
  • 相关文献

参考文献32

  • 1Eringen A C. Theory of micropolar fluids [ J]. J Math, 1966, 16 ( 1 ) : 1-18.
  • 2Gorla R S R, Mansour M A, Mohanunedien A A. Combined convection in an axisymmetric stagnation flow of micropolar fluid [J]. Int J Num Meth Heat Fluid Flow, 1996, 6 (4) : 47-55.
  • 3Gorla R S R, Takhar H S. Boundary layer flow of micropolar fluid on rotating axisymmetric surfaces with a concentrated heat source[ J]. Acta Mechanica, 1994, 10S ( 1/4 ) :1- 10.
  • 4Guram G S, Smith A C. Stagnation flows of micropolar fluids with strong and weak interactions[J]. Compu Math Appl, 1980, 6(2) : 213-233.
  • 5Kumari M, Nath G. Unsteady incompressible boundary layer flow of a micropolar fluid at a stagnation point[J]. Int JEng Sci, 1984, 22(16) : 755-768.
  • 6Abdullah I, Amin N. A micropolar fluid model of blood flow through a tapered artery with a stenosis[J]. Mathematical Methods in the Applied Sciences, 2010, 33(16) : 1910-1923. doi: 10. 1002/mma. 1303.
  • 7Seddeek M A. Flow of a magneto-micropolar fluid past a continuously moving plate[J]. Phy Lett A, 2003, 306 (4) : 255-257.
  • 8Nazar R, Amin N, Filip D, Pop I. Stagnation point flow of a micropolar fluid towards a stretching sheet [J ]. Int J Non-Linear Mech, 2004, 39 ( 7 ) : 1227-1235.
  • 9Takhar H S, Bhargava R, Agrawal R S, Balaji A V S. Finite element solution of a micropolar fluid flow and heat transfer between two porous discs [ J]. Int J Eng Sci, 2000, 38 ( 17 ) : 1907- 1922.
  • 10Abo-Eldahab E M, Ghonaim A F. Radiation effects on heat transfer of a micropolar fluid through a porous medium[J]. Appl Math Comp, 2005, 169( 1 ) :500-510.

二级参考文献2

共引文献3

同被引文献64

  • 1Fetecau C, Mahmood A, Jamil M. Exact solutions for the flow of a viscoelastic fluid induced by a circular cylinder subject to a time dependent shear stress[ J]. Communications in Non- linear Science and Numerical Simulation, 2010, 15(12) : 3931-3938.
  • 2Jamil M, Fetecau C, Imran M. Unsteady helical flows of Oldroyd-B fluids[ J]. Communica- tions in Nonlinear Science and Numerical Simulation, 2011, 16(3) : 1378-1386.
  • 3Jamil M, Rauf A, Fetecau C, Khan N A. Helical flows of second grade fluid to constantly ac- celerated shear stresses[J]. Communications in Nonlinear Science and Numer~al Simula- tion, 2011, 16(4) : 1959 -1959.
  • 4Tan W C, Masuoka T. Stability analysis of a Maxwell fluid in a porous medium heated from below [ J ]. Physics Letters A, 2007, 360 (3) : 454-460.
  • 5Tan W C, Masuoka T. Stokes' first problem for an Oldroyd-B fluid in a porous half space [J]. Physics of 1~uids, 2005, 17(2) : 023101-7.
  • 6Sajid M, Hayat T. Non-similar series solution for boundary layer flow of a third-order fluid o- ver a stretching sheet [ J]. Applied Mathematics and Computation, 2007, 180 ( 2 ) : 1576- 1585.
  • 7Sajid M, Hayat T, Asghar S. Non-similar analytic solution for MHD flow and heat transfer in a third order fluid over a stretching sheet[ J]. International Journal of Heat and Mass Trans- fer, 2007, 50(9/10) : 1723-1736.
  • 8Hayat T, Mustafa M, Asghar S. Unsteady flow with heat and mass transfer of a third grade fluid over a stretching surface in the presence of chemical reaction[J]. Nonlinear Analysis: Real World Applications, 2010, ll(4) : 3185-3197.
  • 9Abbasbandy S, Hayat T. On series solution for unsteady boundary layer equations in a special third grade fluid [ J ]. Communications in Nonlinear Science and Numerical Simulation, 2011, 16(8): 3140-3146.
  • 10Sahoo B. Hiemenz flow and heat transfer of a third grade fluid[ J]. Communications in Non- linear Science and Numerical Simulation, 2009, 14 ( 3 ) : 811-826.

引证文献5

二级引证文献5

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部