Dual solutions in MHD flow on a nonlinear porous shrinking sheet in a viscous fluid

被引:17
作者
Ali, Fadzilah Md [1 ,2 ]
Nazar, Roslinda [3 ]
Arifin, Norihan Md [1 ,2 ]
Pop, Ioan [4 ]
机构
[1] Univ Putra Malaysia, Dept Math, Serdang 43400, Selangor, Malaysia
[2] Univ Putra Malaysia, Inst Math Res, Serdang 43400, Selangor, Malaysia
[3] Univ Kebangsaan Malaysia, Sch Math Sci, Fac Sci & Technol, Bangi 43600, Selangor, Malaysia
[4] Univ Babes Bolyai, Dept Math, Cluj Napoca 400084, Romania
关键词
boundary layer; dual solutions; magnetohydrodynamic; shrinking sheet; numerical solution; HOMOTOPY ANALYSIS METHOD; BOUNDARY-LAYER-FLOW; POWER-LAW VELOCITY; SURFACES;
D O I
10.1186/1687-2770-2013-32
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the problem of magnetohydrodynamic (MHD) flow of a viscous fluid on a nonlinear porous shrinking sheet is studied. The boundary layer partial differential equations are first transformed into an ordinary differential equation, which is then solved numerically by the shooting method. The features of the flow for various governing parameters are presented and discussed in detail. It is found that dual solutions only exist for positive values of the controlling parameter.
引用
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页数:7
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