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首页> 外文期刊>Arabian Journal for Science and Engineering >The Nonlinear Instability of a Cylindrical Interface Between Two Hydromagnetic Darcian Flows
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The Nonlinear Instability of a Cylindrical Interface Between Two Hydromagnetic Darcian Flows

机译：两个水磁达西流之间的圆柱接口的非线性不稳定性

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This paper investigates the nonlinear instability of an interface between twomagnetic fluids separated by a cylindrical interfacein porous media. The system is influenced by a uniform axial magnetic field. The magnetic field intensities allow a presenceof surface currents at the interface. The transfer of mass and heat across the interface is considered. The solutions of linearizedequations of motion, under the appropriate nonlinear boundary conditions, lead to a nonlinear characteristic equation that isgoverned the behavior of the interface deflection. Drawing on the linear stability theory, Routh–Hurwitz’s criteria are utilizedto judge the stability criteria. The coupling of Laplace transforms and Homotopy perturbation techniques are adopted to obtainan approximate analytical solution of the interface profile. The nonlinear stability analysis resulted in two levels of solvabilityconditions. By means of these conditions, a Ginzburg–Landau equation is conducted. The latter equation represented thenonlinear stability configuration. The magnetic field intensity was plotted versus the wave number of the surface waves.Therefore, the stability picture was divided into stable and as well as unstable regions. Subsequently, the influence of thevarious physical parameters was addressed.
机译：本文研究了多孔介质中由圆柱界面分离的两种磁性流体之间界面的非线性不稳定性。该系统受均匀的轴向磁场影响。磁场强度允许界面处存在表面电流。考虑了界面上质量和热量的传递。在适当的非线性边界条件下，运动的线性化方程的解导致一个非线性特征方程，该方程控制了界面挠度的行为。根据线性稳定性理论，使用劳斯·赫维兹（Ruth-Hurwitz）的标准来判断稳定性标准。拉普拉斯变换和同伦摄动技术的耦合被用来获得界面轮廓的近似解析解。非线性稳定性分析产生了两个水平的可溶性条件。利用这些条件，进行了Ginzburg-Landau方程。后一个方程表示非线性稳定性配置。绘制了磁场强度与表面波的波数的关系图，因此将稳定性图分为稳定区域和不稳定区域。随后，解决了各种物理参数的影响。

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