Analysis of MHD micropolar fluid flow over a vertical plate with regular and irregular boundaries

G. Iyyappan, N. Govindaraj, Abhishek Kumar Singh, C. Nirmala, Pankaj Shukla, Dhananjay Yadav
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Abstract

The flow of micropolar nanofluids affected by the phenomena of MHD and thermal radiation through a regular and irregular vertical plate is examined in the present study. The primary goal of the research is to investigate the influence of boundary irregularities on the flow and heat transfer phenomena while considering the phenomena of Brownian motion, MHD, thermal radiation, and thermophoresis. The similarity transformation is applied to the flow’s governing momentum and energy nonlinear coupled partial differential equations, converting them into linear coupled ordinary differential equations. The coupled ODEs are numerically solved using a quasilinearization technique and finite difference schemes. The physical effects of Brownian motion, MHD, heat radiation, and thermophoresis are explored through data and illustrations. The importance of MHD in controlling flow and boundary layer thickness is demonstrated in particular by showing the impact of crucial physical parameters such as the buoyancy force and the Brownian motion parameter. Also, more significant effects on velocity, temperature profiles, and heat transfer rate are observed in irregular boundaries than in regular boundaries.

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具有规则和不规则边界的垂直板上的 MHD 微多极流体流动分析
本研究探讨了受 MHD 和热辐射现象影响的微极性纳米流体流经规则和不规则垂直板的情况。研究的主要目标是在考虑布朗运动、MHD、热辐射和热泳现象的同时,研究边界不规则性对流动和传热现象的影响。对流动的支配动量和能量非线性耦合偏微分方程采用相似性变换,将其转换为线性耦合常微分方程。利用准线性化技术和有限差分方案对耦合常微分方程进行数值求解。通过数据和插图探讨了布朗运动、多流体力学、热辐射和热泳的物理效应。通过显示浮力和布朗运动参数等关键物理参数的影响,特别说明了 MHD 在控制流动和边界层厚度方面的重要性。此外,与规则边界相比,不规则边界对速度、温度曲线和传热速率的影响更为明显。
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