A novel procedure is utilized to investigate the surface waves between two finite conducting fluids streaming through a porous medium in the presence of a horizontal electric field. Normal mode analysis is applied to study two- and three-dimension disturbances cases. The quadratic dispersion equation of complex coefficients representing the system is derived and discussed. It is noted that based on appropriate data selections, the stability criteria do not depend on the medium permeability. It is found that electrical conductivities, viscosities, medium porosity, and surface tension enhance the stability of the system while the dimension and the fluid velocities decrease the stability of the system. Finally, the fluid depths have a dual role (stabilizing as well as destabilizing effects) on the system.

中文翻译：

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有限电导电流体在多孔介质中流动的三维稳定性

利用一种新颖的方法来研究在水平电场存在下流过多孔介质的两种有限传导流体之间的表面波。正常模式分析用于研究二维和三维扰动情况。推导并讨论了代表系统的复系数二次方色散方程。注意，基于适当的数据选择，稳定性标准不取决于介质的渗透性。发现电导率，粘度，中等孔隙率和表面张力增强了系统的稳定性，而尺寸和流体速度降低了系统的稳定性。最后，流体深度对系统具有双重作用（稳定作用和不稳定作用）。