The present work analyses the linear azimuthal stability of a single interface between two cylindrical dielectric fluids. The theoretical model consists of two incompressible rotating electrified fluids throughout the porous media. The system is influenced by a uniform azimuthal electric field. The inner cylinder is filled with a viscous liquid. The outer one is occupied by an inviscid gas. The problem meets its motivation from a geophysics point of view. Therefore, for more convenience, the problem is considered in a planar configuration. Typically, the normal mode analysis is used to facilitate the stability approach. The examination resulted in a stream function, which is governed by a fourth-order ordinary differential equation with complicated variable coefficients. By means of the Mathematica software along with the special functions, the distribution of the stream function is written in terms of the modified Bessel functions. A non-dimensional procedure exposes some non-dimensional numbers, for instance, Weber, Ohnesorg, Taylor, Rossby and Darcy numbers. These numbers are considered with regard to the temporal and spatial increase of both frequency and modulation. The linear stability theory generated a very complicated transcendental dispersion equation. The influences of various physical parameters in the stability profile were studied as well.

本工作分析了两种圆柱介电液之间单个界面的线性方位角稳定性。理论模型由贯穿整个多孔介质的两种不可压缩的旋转带电流体组成。该系统受均匀的方位电场的影响。内筒充满粘性液体。外层被一种不粘稠的气体占据。从地球物理学的角度来看，这个问题符合其动机。因此，为了更加方便，在平面配置中考虑了该问题。通常，正常模式分析用于促进稳定性方法。检验产生了一个流函数，该函数由具有复杂可变系数的四阶常微分方程控制。通过Mathematica软件以及特殊功能，流函数的分布是根据修改后的Bessel函数编写的。无量纲过程公开了一些无量纲数字，例如Weber，Ohnesorg，Taylor，Rossby和Darcy数。考虑到频率和调制在时间和空间上的增加，考虑了这些数字。线性稳定性理论产生了一个非常复杂的超越色散方程。还研究了各种物理参数对稳定性的影响。线性稳定性理论产生了一个非常复杂的超越色散方程。还研究了各种物理参数对稳定性的影响。线性稳定性理论产生了一个非常复杂的超越色散方程。还研究了各种物理参数对稳定性的影响。