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首页> 外文期刊>Journal of Heat Transfer >Magnetohydrodynamics Flow and Heat Transfer Around a Solid Cylinder Wrapped With a Porous Ring
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Magnetohydrodynamics Flow and Heat Transfer Around a Solid Cylinder Wrapped With a Porous Ring

机译:围绕有多孔环的固体圆柱体的磁流体动力学流动和传热

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摘要

The problem of the effect of an external magnetic field on fluid flow and heat transfer characteristics is relevant to several physical phenomena. In this paper, flow and heat transfer of an electrically-conductive fluid around a cylinder, wrapped with a porous ring and under the influence of a magnetic field, is studied numerically. The ranges of the Stuart (N), Reynolds (Re), and Darcy (Da) numbers are 0-7, 1-40, and 10~(-8)-10~(-1), respectively. The Darcy-Brinkman-Forchheimer model was used for simulating flow in the porous layer. The governing equations provide a coupling between flow and magnetic fields. The governing equations, together with the relevant boundary conditions, are solved numerically using the finite-volume method (FVM). The effect of the Stuart, Reynolds, and Darcy numbers on the flow patterns and heat transfer rate are explored. Finally, two empirical equations for the average Nusselt number were suggested, in which the effect of a magnetic field and the Darcy numbers are taken into account. It was found that in the presence of a magnetic field, the drag coefficient and the critical radius of the insulation increases, while the wake leneth and Nusselt number decrease.
机译:外部磁场对流体流动和传热特性的影响问题与几种物理现象有关。在本文中,数值研究了导电流体在圆柱体周围的流动和传热,圆柱体被多孔环包裹并受到磁场的影响。斯图尔特(N),雷诺(Re)和达西(Da)的范围分别为0-7、1-40和10〜(-8)-10〜(-1)。使用Darcy-Brinkman-Forchheimer模型来模拟多孔层中的流动。控制方程式提供了流场和磁场之间的耦合。使用有限体积法(FVM)在数值上求解控制方程以及相关的边界条件。探索了斯图尔特,雷诺和达西数对流动模式和传热速率的影响。最后,提出了两个平均努塞尔特数的经验公式,其中考虑了磁场和达西数的影响。已经发现,在磁场的存在下,绝缘体的阻力系数和临界半径增加,而尾部长度和努塞尔数减小。

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