Analytical solution for the unsteady MHD flow of a viscous fluid between moving parallel plates

被引：23

作者：

Sweet, Erik ^{[2
]}

Vajravelu, K. ^{[2
]}

Van Gorder, Robert A. ^{[2
]}

Pop, I. ^{[1
]}

机构：

[1] Univ Cluj, Fac Math, R-3400 Cluj Cp 253, Romania

[2] Univ Cent Florida, Dept Math, Orlando, FL 32816 USA

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2011年 / 16卷 / 01期

关键词：

Navier-Stokes equations; Squeezing flow; Homotopy analysis method; MHD flow; HOMOTOPY ANALYSIS METHOD; MAGNETOHYDRODYNAMIC LUBRICATION FLOW; NONLINEAR DIFFERENTIAL-EQUATIONS; SQUEEZING FLOW; GENERAL-APPROACH; ELLIPTIC PLATES; INERTIA; FILMS;

D O I：

10.1016/j.cnsns.2010.03.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two-dimensional unsteady MHD flow of a viscous fluid between two moving parallel plates is considered. We allow the plates to move together as well as apart: When the plates move together it corresponds to squeezing flow problem. The governing Navier-Stokes equations for the flow are reduced to a fourth order nonlinear ODE and analytical solutions are obtained for the ODE via the homotopy analysis method. We show that the flow is strongly influenced by the strength of the magnetic field and the density of the fluid. Furthermore, an error analysis for the obtained solutions is provided. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：266 / 273

页数：8

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