Abstract This research is mainly concerned with the characteristics of magnetohydrodynamics and Darcy–Forchheimer medium in nanofluid flow between two horizontal plates. A uniformly induced magnetic impact is involved at the direction normal to the lower plate. Darcy–Forchheimer medium is considered between the plates that allow the flow along horizontal axis with additional effects of porosity and friction. The features of Brownian diffusive motion and thermophoresis are disclosed. Governing problems are transformed into nonlinear ordinary problems using appropriate transformations. Numerical Runge–Kutta procedure is applied using MATLAB to solve the problems and acquire the data for velocity field, thermal distribution, and concentration distribution. Results have been plotted graphically. The outcomes indicate that higher viscosity results in decline in fluid flow. Thermal profile receives a decline for larger viscosity parameter; however, Brownian diffusion and thermophoresis appeared as enhancing factors for the said profile. Numerical data indicate that heat flux reduces for viscosity parameter. However, enhancement is observed in skin-friction for elevated values of porosity factor. Data of this paper are practically helpful in industrial and engineering applications of nanofluids.

中文翻译：

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MHD 在两个 h 距离的水平板之间挤压 Darcy-Forchheimer 纳米流体流动

摘要 本研究主要研究两水平板间纳米流体流动中的磁流体力学特性和达西-福希海默介质特性。在垂直于下板的方向上涉及均匀感应的磁力冲击。Darcy-Forchheimer 介质被考虑在允许沿水平轴流动的板之间，并具有额外的孔隙率和摩擦效应。公开了布朗扩散运动和热泳的特征。使用适当的变换将治理问题转化为非线性普通问题。数值 Runge-Kutta 程序使用 MATLAB 来解决问题并获取速度场、热分布和浓度分布的数据。结果已绘制成图形。结果表明，较高的粘度导致流体流量下降。对于较大的粘度参数，热曲线会下降；然而，布朗扩散和热泳作为所述分布的增强因素出现。数值数据表明热通量随粘度参数降低。然而，由于孔隙率因子的升高值，在皮肤摩擦中观察到增强。本文的数据对纳米流体的工业和工程应用具有实际帮助。