In this paper, we study the effects of activation energy and solar radiation on expanding solar sheets, as well as non-Newtonian nanofluid dynamics, which are important in these applications and are driving efforts to find solutions to the world’s energy problems. We provide numerical solutions to physical flow problems by solving partial differential equations. We utilise the MATLAB-integrated bvp4c methodology after applying similarities to turn these PDEs model into ODEs. By investigating dimensionless momentum, concentration, and thermal profiles under different conditions, our research delves into the physical relevance of nanofluids. Important flow field components have also been numerically and tabulatively studied and displayed graphically. The rates at which heat is transferred is 29.06% and 37.99%, respectively. The rate of heat transport rose by 13.93% as a result. At greater values for the Maxwell fluid parameter, the velocity profiles improved while the temperature profiles decreased. This paper contributes significant new information to the ongoing discussion in this area, which is in line with earlier findings.

中文翻译：

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拉伸太阳能片上纳米流体存在时太阳辐射和活化能效应的影响研究

在本文中，我们研究了活化能和太阳辐射对膨胀太阳能片的影响，以及非牛顿纳米流体动力学，这在这些应用中很重要，并正在推动寻找世界能源问题解决方案的努力。我们通过求解偏微分方程来提供物理流动问题的数值解。在应用相似性后，我们利用 MATLAB 集成的 bvp4c 方法将这些 PDE 模型转换为 ODE。通过研究不同条件下的无量纲动量、浓度和热分布，我们的研究深入探讨了纳米流体的物理相关性。重要的流场组成部分也进行了数值和表格研究并以图形方式显示。热量传递率分别为29.06%和37.99%。热传输率因此提高了13.93%。当麦克斯韦流体参数值较大时，速度分布得到改善，而温度分布则降低。本文为该领域正在进行的讨论提供了重要的新信息，这与早期的发现是一致的。