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Theoretical and experimental study of low conducting fluid MHD flow in an open annular channel

机译:开环通道中低导流体MHD流动的理论和实验研究

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In this paper, we research theoretically and experimentally the 3D laminar flow of an electrolyte in an annular open channel driven by a Lorentz force. The annular duct is formed by two concentric electrically conducting cylinders and limited by an insulating bottom wall. The interaction between a uniform magnetic field along the axial direction and a radial electric current produces a Lorentz force that drives the fluid in the azimuthal direction, producing a Magneto-hydrodynamic (MHD) flow. The effect of the three walls is analyzed in detail by considering the gap between the cylinders as well as the depth of the channel. The steady flow is solved using a Galerkin method with orthogonal Bessel-Fourier series. A quasianalytic approximation for velocity is found. Velocity profiles are explored by varying the depth of the channel and the gap between the cylinders in order to show the effect of the walls on the flow configuration. Results are compared with experimental data provided by PIV technique as well as in those found in scientific literature. (C) 2018 Elsevier Ltd. All rights reserved.
机译:在本文中,我们在理论和实验上研究了由洛伦兹力驱动的环形明渠中电解质的3D层流。环形管道由两个同心的导电圆柱体形成,并由绝缘底壁限制。沿轴向的均匀磁场与径向电流之间的相互作用会产生洛伦兹力,该洛伦兹力会沿方位角方向驱动流体,从而产生磁流体动力学(MHD)流。通过考虑圆柱体之间的间隙以及通道的深度来详细分析这三个壁的效果。使用正交Bessel-Fourier级数的Galerkin方法求解稳态流。发现速度的拟解析近似。通过改变通道深度和圆柱体之间的间隙来探究速度分布,以显示壁对流动形态的影响。将结果与PIV技术以及科学文献中提供的实验数据进行比较。 (C)2018 Elsevier Ltd.保留所有权利。

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