The onset of stationary convection in electrohydrodynamic thermal instability of Jeffrey nanofluid layer saturating a porous medium for free-free, rigid-free, and rigid-rigid boundaries is studied. Darcy-Jeffrey fluid model is used to describe rheological behavior of nanofluid. The conservation of momentum equations are modified due to the presence of Jeffrey parameter and under the influence of an applied alternating current (AC) electric field by the inclusion of dielectrophoretic force and Coulomb force. By applying linear stability analysis based upon perturbation theory and one-term Galerkin method, we derive the expression for thermal Rayleigh number for free-free, rigid-free, and rigid-rigid boundaries on the onset of stationary convection. The effects of Jeffrey parameter, AC electric Rayleigh number, Lewis number, modified diffusivity ratio, nanoparticle Rayleigh number, and medium porosity have been discussed for the case of stationary convection.

中文翻译：

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JEFFREY纳米流体层在多孔介质中的电热动不稳定性中的平稳对流：自由，刚性和刚性边界条件

研究了Jeffrey纳米流体层的电流体动力学热不稳定性中固定对流的发生，该流体使多孔介质充满了自由，刚性和刚性边界。Darcy-Jeffrey流体模型用于描述纳米流体的流变行为。动量方程的守恒因存在杰弗里参数而受到修改，并且在介电电泳力和库仑力的作用下，在施加的交流电（AC）电场的影响下进行了修改。通过基于微扰理论和一阶Galerkin方法的线性稳定性分析，我们得出了固定对流开始时自由，自由，刚性和刚性边界的热瑞利数表达式。Jeffrey参数，交流电瑞利数，刘易斯数，