The objective of this work is to analyze the impact of magneto-hydrodynamics flow across a stretching layer in the existing magnetic sector. The classifying boundary layer equations are converted to a set of non-linear equations by taking advantage of similarity structures. The transformed scheme is mathematically resolved by the homotopy analysis method. Results are measured numerically and plotted graphically for velocity and temperature distribution. Furthermore, flow and heat transfer effects for different physical parameters such as the stretching parameter, mixed convection parameter, magnetic parameter, heat generation coefficient, and Prandtl number are analyzed. Some physical effects reveal that an increase in the Hartmann number raises the fluid’s boundary layer that shows the reverse phenomena of Lorentz force because the speed of the free stream transcends the stretching surface. Upon verifying the homology of the current study with some past investigations, a good harmony is revealed. The velocity of the fluid flow was initially considered to be an increasing function of heat generation, buoyancy parameter, and magnetic field strength, but it later revealed as a decreasing function of the Prandtl number.

中文翻译：

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混合对流的磁流体动力学（MHD）流动分析通过拉伸表面

这项工作的目的是分析磁流体动力学流过现有磁区中拉伸层的影响。利用相似结构将边界层分类方程转换为一组非线性方程。变换后的方案通过同伦分析方法在数学上进行解析。对结果进行数字测量，并以图形方式绘制速度和温度分布。此外，分析了不同物理参数（例如拉伸参数，混合对流参数，磁参数，生热系数和普朗特数）的流动和传热效果。一些物理效应表明，哈特曼数的增加会增加流体的边界层，这表明了洛伦兹力的反向现象，因为自由流的速度超过了拉伸表面。在通过一些过去的研究验证了本研究的同源性后，发现了良好的和谐。最初，流体流动的速度被认为是热量产生，浮力参数和磁场强度的增加函数，但后来却被揭示为普朗特数的减少函数。