In this paper we study the Darcy-Forchheimer flow of a magnetohydrodynamic (MHD) micropolar fluid over a stretching surface with convective boundary conditions. The effects of viscous dissipation, thermal radiation, activation energy, and chemical reaction, along with Dufour and Soret effects, are considered and analyzed. By using a suitable similarity transformation, the governing partial differential equations (PDEs) are converted into a system of nonlinear coupled ordinary differential equations (ODEs). The non-linear ODEs are solved numerically by a shooting technique with the bvp5c MATLAB package. The effects of the physical parameters on the velocity, the micro-rotation, the temperature, and the concentration fields are analyzed through graphs and tables. The present results are validated with the results in the existing literature for some special cases. It is observed that an increase in the magnetic strength leads to a decrease in the velocity field. However, the thermal radiation parameter and the Eckert number significantly boost the temperature distribution. The concentration field is improved by the activation energy parameter. We believe that this investigation has a definite bearing to industries such as heat exchangers and lubricant refining process.

中文翻译：

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具有对流边界条件的拉伸片上导电微极性流体的达西-福希海默流动

在本文中，我们研究了具有对流边界条件的拉伸表面上磁流体动力学（MHD）微极性流体的达西-福希海默流。考虑并分析了粘性耗散、热辐射、活化能和化学反应的影响，以及杜福尔和索雷特效应。通过使用合适的相似变换，控制偏微分方程 (PDE) 被转换为非线性耦合常微分方程 (ODE) 系统。非线性 ODE 通过使用 bvp5c MATLAB 包的射击技术进行数值求解。通过图表分析了物理参数对速度、微转、温度、浓度场的影响。对于一些特殊情况，本结果与现有文献中的结果进行了验证。据观察，磁场强度的增加导致速度场的减小。然而，热辐射参数和埃克特数显着提高了温度分布。浓度场通过活化能参数得到改善。我们相信这项调查对热交换器和润滑油精炼工艺等行业有一定的影响。