Abstract We investigated the Hall and ion slip effects on the MHD convective flow of elastico-viscous fluid through porous medium between two rigidly rotating parallel plates with time fluctuating sinusoidal pressure gradient in this paper. In an initially undisturbed state both the fluid and the plates are in rigid rotation with the uniform angular velocity Ω about the normal to the plates. At t > 0 the fluid is driven by a fluctuating pressure gradient parallel to the channel walls. Analytical solutions for the velocity, temperature and concentration are evaluated and discussed computationally with the help of graphical profiles. For engineering interest, we obtained skin friction, Nusselt number, Sherwood number and volumetric flow rate and discussed numerically. Elasticity and magnetic field resist the fluid motion gets thinner boundary layer. Lesser frequency of oscillating pressure gradient frightens the reverse flow. The similar variation of skin friction should be circumvented with less significant time span and strength of the magnetic field.

中文翻译：

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霍尔和离子滑移对弹性粘性流体通过多孔介质的 MHD 旋转流的影响

摘要 本文研究了霍尔和离子滑移效应对弹性粘性流体通过多孔介质在具有时间波动正弦压力梯度的两个刚性旋转平行板之间的 MHD 对流流动的影响。在最初未受干扰的状态下，流体和板都以均匀的角速度 Ω 围绕板的法线进行刚性旋转。在 t > 0 时，流体由平行于通道壁的波动压力梯度驱动。在图形轮廓的帮助下，对速度、温度和浓度的分析解决方案进行了评估和计算讨论。出于工程兴趣，我们获得了表面摩擦力、努塞尔数、舍伍德数和体积流量，并进行了数值讨论。弹性和磁场抵抗流体运动使边界层变薄。较低频率的振荡压力梯度会吓倒反向流动。应该用较小的时间跨度和磁场强度来避免类似的皮肤摩擦变化。