Moatimid Galal M, Amer Mohamed F E
Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt.
Sci Rep. 2023 Sep 26;13(1):16118. doi: 10.1038/s41598-023-43157-z.
This work examines the impact of an unchanged longitudinal electric field and the ambient gas on the EHD instability of an Oldroyd-B fluid in a vertical cylinder, where the system is immersed in permeable media. In order to explore the possible subject uses in thermo-fluid systems, numerous experimental and theoretical types of research on the subject are conducted. The main factors influencing the dispersion and stability configurations are represented by the energy and concentration equations. The linear Boussinesq approximating framework is recommended for further convenience. A huge growth in numerous physical and technical implications is what motivated this study. Using the standard normal modes of examination, the characteristics of velocity fields, temperature, and concentration are analyzed. The conventional stability results in a non-dimensional convoluted transcendental dispersion connection between the non-dimensional growth rate and all other physical parameters. The Maranogoni phenomenon, in which temperature and concentration distributions affect surface tension, has been addressed. It is observed that the intense electric field, the Prandtl numeral, the Lewis numeral, and the Lewis numeral velocity ratio have a stabilizing influence. As opposed to the Weber numeral, the Ohnesorge numeral, and the density ratio have a destabilizing influence.
这项工作研究了不变的纵向电场和环境气体对垂直圆柱中Oldroyd-B流体的电液动力学（EHD）不稳定性的影响，该系统浸没在可渗透介质中。为了探索在热流体系统中可能的应用主题，对该主题进行了大量的实验和理论研究。影响扩散和稳定性构型的主要因素由能量方程和浓度方程表示。为了进一步方便起见，推荐使用线性布辛涅斯克近似框架。众多物理和技术应用方面的巨大发展推动了本研究。使用标准的正常模态检验方法，分析了速度场、温度和浓度的特征。传统的稳定性导致无量纲增长率与所有其他物理参数之间存在无量纲的复杂超越色散关系。研究了温度和浓度分布影响表面张力的马兰戈尼现象。观察到强电场、普朗特数、刘易斯数和刘易斯数速度比具有稳定作用。与韦伯数、奥内佐格数和密度比相反，它们具有破坏稳定的作用。
