Purpose

This study aims to examine the cilia-driven flow of magnetohydrodynamics (MHD) non-Newtonian fluid through a porous medium. The Jeffrey fluid model is taken into account. The fluid motion in a two-dimensional symmetric channel emphasizes the dominance of viscous properties over inertial properties in the context of long wavelength and low Reynolds number approximations.

Design/methodology/approach

An integrated numerical and analytic results are obtained by hybrid approach. A statistical method analysis of variance along with response surface methodology is used. Sensitivity analysis is used to validate the accuracy of nondimensional numbers.

Findings

The impact of various flow parameters is presented graphically and in numerical tables. It is noted that the velocity slip parameter is the most sensitive flow parameter in velocity and relaxation to retardation time ratio in temperature.

Originality/value

A model on cilia-generated flow of MHD non-Newtonian Jeffrey fluid is proposed.

中文翻译：

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对杰弗里流体通过多孔介质纤毛产生的 MHD 流动的综合数值和分析研究

 目的

本研究旨在检查纤毛驱动的磁流体动力学 (MHD) 非牛顿流体通过多孔介质的流动。考虑了 Jeffrey 流体模型。在长波长和低雷诺数近似的情况下，二维对称通道中的流体运动强调了粘性特性相对于惯性特性的主导地位。

设计/方法论/途径

通过混合方法获得了综合的数值和分析结果。使用方差统计方法分析以及响应面方法。敏感性分析用于验证无量纲数的准确性。

 发现

各种流量参数的影响以图形和数字表格的形式呈现。值得注意的是，速度滑移参数是速度和温度松弛与延迟时间比中最敏感的流动参数。

 原创性/价值

提出了 MHD 非牛顿杰弗里流体纤毛产生的流动模型。