Magnetohydrodynamic duct flow in a uniform transverse magnetic field of arbitrary orientation
Magnetohydrodynamic duct flow in a uniform transverse magnetic field of arbitrary orientation
复制标题
任意方向均匀横向磁场中的磁流体动力管道流
DOI：
10.1017/s0022112071001691
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发表时间：
1971
影响因子：
3.7
通讯作者：
C. J. N. Alty
中科院分区：
文献类型：
--
作者：
C. J. N. Alty
本文给出了一个近似分析的高哈特曼数的导电，不可压缩的流体在一个正方形横截面的管道，有一对相对的壁绝缘，和另一对完美的导电和倾斜在任意方向上的均匀横向磁场的流动。流动被认为是压力驱动的两个完美的导电电极短路在一起，或电驱动的电位差施加在这些电极之间的轴向压力梯度的情况下。本文描述了在压力驱动的短路情况下，在铜管道中使用汞的实验，以研究流向压力梯度和电势分布沿着一个绝缘壁的取向，磁场和流量的变化。在一般的方向上的分析表明，实验证实存在的区域中的固定流体的角落的管道，连同粘性剪切层平行于磁场。对于电极平行于磁场的情况，压力梯度的实验结果与Hunt & Stewartson（1965）的渐近解相当吻合，但电位分布的实验结果则不然。压力梯度和电势结果都与Hunt（1965）对电极垂直于磁场的情况的分析非常一致。
The paper presents an approximate analysis for high Hartmann number of the flow of an electrically conducting, incompressible fluid in a duct of square crosssection, having one pair of opposite walls insulating, and the other pair perfectly conducting and inclined at arbitrary orientation to a uniform transverse magnetic field. The flow is considered to be either pressure-driven with the two perfectly conducting electrodes short-circuited together or electrically driven by a potential difference applied between these electrodes in the absence of axial pressure gradient. The paper describes experiments on the pressure-driven, short circuited case using mercury in copper ducts to investigate the variation of the streamwise pressure gradient and of the potential distribution along one insulating wall with orientation, magnetic field and flow rate. At general orientations the analysis suggests and the experiments confirm the existence of regions of stationary fluid in the corners of the duct, together with viscous shear layers parallel to the magnetic field. For the case in which the electrodes are parallel to the magnetic field the experimental results for the pressure gradient, but not those for the potential distribution, agree reasonably well with Hunt & Stewartson's (1965) asymptotic solution. Both pressure gradient and potential results agree closely with the analysis by Hunt (1965) of the case in which the electrodes are perpendicular to the magnetic field.