Abstract

A system of equations of magnetohydrodynamics for an incompressible fluid is used to study flow stability between coaxial cylinders, which arises under the action of a longitudinal pressure gradient, in the case where a uniform magnetic field is directed along the cylinder axis. The differential sweep method is applied to investigate the dependences of the critical Reynolds numbers on the value of electrical conductivity and the external magnetic field. The existence of two ranges of electrical conductivity values is established, in which the stabilizing effect of the magnetic field is most significant. An abrupt increase in the critical Reynolds numbers and the detachment of closed instability regions from neutral curves are revealed.

中文翻译：

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纵向磁场中同轴圆柱体之间压力驱动流的稳定性

摘要

使用不可压缩流体的磁流体动力学方程组来研究同轴圆柱体之间的流动稳定性，该稳定性在纵向压力梯度作用下沿圆柱轴方向均匀地发生在纵向压力梯度的作用下。应用差分扫描法研究临界雷诺数对电导率和外部磁场值的依赖性。确定存在两个范围的电导率值，其中磁场的稳定作用最显着。临界雷诺数突然增加，闭合的不稳定区域与中性曲线脱离。