The idea of this work is to explore the impact of endothermic and exothermic chemical reactions on time-dependent magnetohydrodynamic nanomaterial flow, heat and mass transfer characteristics induced by a rotating sphere. Implementing combined influence of chemical reaction and activation energy is vital for improving the efficiency of thermal transmission processes in different industrial applications including energy production, pollutant control system, material processing, etc. Owing to its usage, this investigation aims to examine the influence of endothermic, exothermic reactions and activation energy on the flow of Magnetohydrodynamic over a rotating sphere with the nanoparticles that contains a mixture of water and titanium oxide. Furthermore, this investigation studies the influence of activation energy on both heat and mass transfer in fluid systems. The objective is to boost our insight into difficult problems, which could have real-world usages in areas including combustion engines. The PDEs were transformed into ODE via applying similarity variables and then solved using the BVP4c technique. This study shows that the fluid temperature reduces the reaction rate and improves the activation energy for an exothermic reaction. Also, in the case of an endothermic reaction, the fluid temperature increases the reaction rate and reduces the activation energy. Further, in exothermic reactions, the heat distribution rate is higher than endothermic reactions, considering activation energy and solid volume fraction while the mass transfer rate declines for improved values of these two factors.

这项工作的想法是探索吸热和放热化学反应对旋转球体引起的时间依赖性磁流体动力学纳米材料流动、传热和传质特性的影响。实现化学反应和活化能的综合影响对于提高能源生产、污染物控制系统、材料加工等不同工业应用中的传热过程的效率至关重要。由于其使用，本研究旨在检查吸热能的影响、放热反应和活化能对含有水和氧化钛混合物的纳米粒子在旋转球体上流动的磁流体动力学的影响。此外，这项研究还研究了活化能对流体系统中传热和传质的影响。目的是提高我们对难题的洞察力，这些问题可以在包括内燃机在内的领域得到实际应用。通过应用相似变量将偏微分方程转换为常微分方程，然后使用 BVP4c 技术求解。这项研究表明，流体温度降低了反应速率并提高了放热反应的活化能。此外，在吸热反应的情况下，流体温度提高反应速率并降低活化能。此外，在放热反应中，考虑到活化能和固体体积分数，热量分布率高于吸热反应，而传质率随着这两个因素的值的提高而下降。