MHD Free Convective Flow of Water near 4℃ past a Vertical Moving Plate with Constant Suction

Michalis Xenos, Stelios Dimas, Andreas Raptis

Department of Mathematics, University of Ioannina, Ioannina, Greece.
Instituto de Matemática, Estatística e Computa??o Científica, Universidade Estadual de Campinas, Campinas, Brasil.

DOI: 10.4236/am.2013.41010                

Abstract

The aim of this work is the study of the magnetohydrodynamic (MHD) unsteady free convective flow of water near 4℃ past an infinitely vertical plate moving with constant velocity. The influence of constant uniform suction was also considered. The partial differential equations (PDEs) and their initial and boundary conditions, describing the problem under consideration, are dimensionalized and the numerical solution is obtained by using the finite volume discretization methodology which is suitable for Fluid Mechanics applications. The numerical results for the velocity and temperature fields are shown in figures for different dimensionless parameters entering in the problem under consideration, such as the magnetic parameter, M and the Grashof number, Gr. This study predicts the effects of a constant magnetic field and uniform suction on the free convective flow of water near 4℃, when the water is electrically conductive. Analysis of the results showed that the velocity and temperature profiles are noticeably influenced by these parameters.

Keywords

Free Convection; Water near 4℃; Constant Magnetic Field; Finite Volume Method

Conflicts of Interest

The authors declare no conflicts of interest.

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