Magnetohydrodynamic Flow and Heat Transfer Induced by a Shrinking Sheet

被引：13

作者：

Nasir, Nor Ain Azeany Mohd ^{[1
]}

Ishak, Anuar ^{[2
]}

Pop, Ioan ^{[3
]}

机构：

[1] Univ Pertahanan Nas Malaysia, Ctr Def Fdn Studies, Dept Math, Kuala Lumpur 57000, Malaysia

[2] Univ Kebangsaan Malaysia, Fac Sci & Technol, Dept Math Sci, Ukm Bangi 43600, Selangor, Malaysia

[3] Babes Bolyai Univ, Dept Math, Cluj Napoca 400084, Romania

来源：

MATHEMATICS | 2020年 / 8卷 / 07期

关键词：

dual solutions; induced magnetic field; shrinking sheet; stability; STAGNATION-POINT FLOW; BOUNDARY-LAYER-FLOW; STRETCHING SHEET; NANOFLUID FLOW; POROUS-MEDIUM; FLAT-PLATE; CONVECTION; FLUID; FERROFLUID; RADIATION;

D O I：

10.3390/math8071175

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The magnetohydrodynamic (MHD) stagnation point flow over a shrinking or stretching flat sheet is investigated. The governing partial differential equations (PDEs) are reduced into a set of ordinary differential equations (ODEs) by a similarity transformation and are solved numerically with the help of MATLAB software. The numerical results obtained are for different values of the magnetic parameterM, heat generation parameterQ, Prandtl number Pr and reciprocal of magnetic Prandtl number epsilon. The influences of these parameters on the flow and heat transfer characteristics are investigated and shown in tables and graphs. Two solutions are found for a certain rate of the shrinking strength. The stability of the solutions in the long run is determined, and shows that only one of them is stable. It is found that the skin friction coefficientf ''(0)and the local Nusselt number-theta '(0)decrease as the magnetic parameterMincreases. Further, the local Nusselt number increases as the heat generation increases.

引用

页数：12

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