This study aims to bridge the gap by conducting a numerical analysis of Maxwell fluid behaviour on a perpendicular plate within a porous medium, considering both chemical reaction and heat generation. The investigation also encompasses the study of energy and mass transfer within magnetohydrodynamic (MHD) Maxwell fluids. We utilise a transformation technique employing similarity variables to address the challenge posed by the nonlinear partial differential equations (PDEs). These transformed equations are subsequently solved via the bvp4c solver in MATLAB. The obtained results exhibit a high degree of agreement with the previously published work. The study systematically explores the influence of chemical reaction, energy generation, and Deborah number parameters on temperature and velocity, as well as concentration, presenting the outcomes graphically. In addition, we calculate local Sherwood numbers, Nusselt numbers, and skin friction coefficients to assess the impact of chemical reactions. Our findings notably indicate that Sherwood numbers and skin friction coefficients increase with higher levels of chemical reaction, while local Nusselt numbers decrease as chemical reactions become more pronounced. By studying Maxwell fluid flow over a perpendicular plate with chemical reactions, this research contributes to optimizing processes, enhancing product quality, and providing deeper insights into the behaviour of complex fluids in real-world scenarios.

中文翻译：

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探索粘弹性流体通过受热和化学反应的多孔垂直板的稳定流动

本研究旨在通过对多孔介质内垂直板上的麦克斯韦流体行为进行数值分析来弥补这一差距，同时考虑化学反应和热量产生。该研究还包括磁流体动力学 (MHD) 麦克斯韦流体内能量和质量传递的研究。我们利用采用相似变量的变换技术来解决非线性偏微分方程（PDE）带来的挑战。随后通过 MATLAB 中的 bvp4c 求解器求解这些变换后的方程。获得的结果与之前发表的工作高度一致。该研究系统地探讨了化学反应、能量产生和黛博拉数参数对温度、速度以及浓度的影响，并以图形方式呈现结果。此外，我们还计算局部舍伍德数、努塞尔数和表面摩擦系数，以评估化学反应的影响。我们的研究结果特别表明，舍伍德数和表面摩擦系数随着化学反应水平的提高而增加，而局部努塞尔数随着化学反应变得更加明显而减少。通过研究麦克斯韦流体在垂直板上的化学反应流动，这项研究有助于优化工艺、提高产品质量，并为现实场景中复杂流体的行为提供更深入的见解。