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

Boundary value problems

Roslinda Nazar¹  Ioan Pop²  Fadzilah Md Ali⁴  Norihan Md Arifin⁶ 

[1] Institute for Mathematical Research, Universiti Putra Malaysia, Serdang, Selangor, Malaysia;Technology, Universiti Kebangsaan Malaysia, Bangi, Selangor, Malaysia;-Bolyai University, Cluj-Napoca, Romania;Department of Mathematics &Department of Mathematics, BabeşSchool of Mathematical Sciences, Faculty of Science &

关键词: boundary layer;    dual solutions;    magnetohydrodynamic;    shrinking sheet;    numerical solution;   

DOI  :  10.1186/1687-2770-2013-32

学科分类：数学（综合）

来源: SpringerOpen

【 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. MSC: 34B15, 76D10.

【 授权许可】

CC BY