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Effects of General Rotation and a Horizontal Magnetic Field on the Rayleigh-Taylor Instability of Three-Fluid Layer in Porous Media

机译:旋转和水平磁场对多孔介质中三层流体层的瑞利-泰勒不稳定性的影响

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摘要

The Rayleigh-Taylor instability of superposed conducting fluids through porous media under the influence of a uniform magnetic field and general rotation was investigated. The system is composed of a middle fluid sheet of finite thickness embedded between two semi-infinite fluids. The fluids are assumed incompressible and perfectly conducting. A dispersion equation is derived by solving the linearized equations of motion using the boundary conditions. The behavior of the growth rate with respect to the horizontal magnetic field, the vertical and horizontal components of rotation, the viscosity, and the permeability of the porous medium are examined numerically. The results show that the system is divided into two modes (two growth rates). The horizontal magnetic field, and the vertical and horizontal components of rotation, viscosity and porosity have a stabilizing effect on the growth rate of an unstable configuration.
机译:研究了在均匀磁场和整体旋转的影响下,通过多孔介质叠加的导电流体的瑞利-泰勒不稳定性。该系统由嵌入两个半无限流体之间的有限厚度的中间流体薄片组成。假定流体不可压缩且传导完美。通过使用边界条件求解线性化的运动方程,可以得出色散方程。相对于水平磁场,旋转的垂直和水平分量,粘度和多孔介质的磁导率,研究了生长速率的行为。结果表明,该系统分为两种模式(两种增长率)。水平磁场以及旋转,粘度和孔隙率的垂直和水平分量对不稳定构型的生长速率具有稳定作用。

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