Magnetohydrodynamic Damping of Natural Convection Flows in a Rectangular Enclosure

World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering Pub Date : 2010-01-01 DOI:10.5772/7589

M. Battira, R. Bessaih

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Abstract

We numerically study the three-dimensional magnetohydrodynamics (MHD) stability of oscillatory natural convection flow in a rectangular cavity, with free top surface, filled with a liquid metal, having an aspect ratio equal to A=L/H=5, and subjected to a transversal temperature gradient and a uniform magnetic field oriented in x and z directions. The finite volume method was used in order to solve the equations of continuity, momentum, energy, and potential. The stability diagram obtained in this study highlights the dependence of the critical value of the Grashof number Grcrit , with the increase of the Hartmann number Ha for two orientations of the magnetic field. This study confirms the possibility of stabilization of a liquid metal flow in natural convection by application of a magnetic field and shows that the flow stability is more important when the direction of magnetic field is longitudinal than when the direction is transversal. Keywords—Natural convection, Magnetic field, Oscillatory, Cavity, Liquid metal.

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矩形围护结构中自然对流流动的磁流体动力阻尼

本文通过数值模拟研究了振荡自然对流流动在具有自由顶面、宽高比为a =L/H=5、受横向温度梯度和x、z方向均匀磁场作用的矩形空腔内的三维磁流体力学稳定性。用有限体积法求解了连续方程、动量方程、能量方程和势能方程。本研究得到的稳定性图突出了两个磁场方向上，格拉什夫数Grcrit的临界值随哈特曼数Ha的增加而增加的依赖性。本研究证实了磁场在自然对流中稳定液态金属流动的可能性，并表明纵向磁场比横向磁场对流动稳定性的影响更大。关键词:自然对流，磁场，振荡，空腔，液态金属。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering

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