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NONLINEAR EHD INSTABILITY OF A CYLINDRICAL INTERFACE BETWEEN TWO WALTERS B' FLUIDS IN POROUS MEDIA
Journal of Porous Media ( IF 2.3 ) Pub Date : 2022-01-01 , DOI: 10.1615/jpormedia.2021035657
Galal M. Moatimid , Marwa H. Zekry , Nada S. Gad

The current paper examines the nonlinear EHD instability of a cylindrical interface between two viscoelastic fluids of Walters' B type in saturated porous media. A uniform axial electric field is acted upon with the axis of the cylinder. The procedure of the nonlinear stability yields a nonlinear characteristic equation of the interface deflection. Consequently, the stability criteria are analytically discussed and numerically confirmed. The multiple time scale technique together with the aid Taylor expansion produce a Ginzburg-Landau equation. This equation judges the nonlinear stability criteria. In addition, the concept of the expanded frequency along with the homotopy perturbation method are adopted to achieve an analytic periodic approximate distribution of the surface evaluation. Several special cases are reported by using appropriate data choices. Throughout the stability investigation, the electric field intensity is plotted versus the wave number. The influences of various parameters on the stability picture are addressed. The nonlinear stability approach divides the phase plane into several parts of stability/instability regions.

中文翻译:

多孔介质中两种沃尔特斯 B' 流体之间的圆柱形界面的非线性 EHD 不稳定性

本论文研究了饱和多孔介质中两种沃尔特斯 B 型粘弹性流体之间圆柱界面的非线性 EHD 不稳定性。均匀的轴向电场作用于圆柱体的轴线。非线性稳定性的过程产生了界面挠度的非线性特征方程。因此,对稳定性标准进行了分析讨论和数值确认。多时间尺度技术与辅助泰勒展开式一起产生金茨堡-朗道方程。该方程判断非线性稳定性标准。此外,采用扩展频率的概念以及同伦摄动方法,实现了表面评价的解析周期性近似分布。通过使用适当的数据选择报告了几种特殊情况。在整个稳定性研究中,电场强度与波数的关系图。解决了各种参数对稳定性图的影响。非线性稳定性方法将相平面划分为稳定/不稳定区域的几个部分。
更新日期:2022-01-12
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