The study focuses on the aggregation kinematics in the quadratic convective magneto-hydrodynamics of ethylene glycol-titania ($\mathrm{Ti}{\mathrm{O}}_2$) nanofluid flowing through an inclined flat plate. The modified Krieger-Dougherty and Maxwell-Bruggeman models are used for the effective viscosity and thermal conductivity to account for the aggregation aspect. The effects of an exponential space-dependent heat source and thermal radiation are incorporated. The impact of pertinent parameters on the heat transfer coefficient is explored by using the Response Surface Methodology and Sensitivity Analysis. The effects of several parameters on the skin friction and heat transfer coefficient at the plate are displayed via surface graphs. The velocity and thermal profiles are compared for two physical scenarios: flow over a vertical plate and flow over an inclined plate. The nonlinear problem is solved using the Runge–Kutta-based shooting technique. It was found that the velocity profile significantly decreased as the inclination of the plate increased on the other hand the temperature profile improved. The heat transfer coefficient decreased due to the increase in the Hartmann number. The exponential heat source has a decreasing effect on the heat flux and the angle of inclination is more sensitive to the heat transfer coefficient than other variables. Further, when radiation is incremented, the sensitivity of the heat flux toward the inclination angle augments at the rate 0.5094% and the sensitivity toward the exponential heat source augments at the rate 0.0925%. In addition, 41.1388% decrement in wall shear stress is observed when the plate inclination is incremented from ${60}^{\circ }$ to ${75}^{\circ }$.

该研究的重点是乙二醇-二氧化钛二次对流磁流体动力学中的聚集运动学（$\mathrm{钛}{\mathrm{哦}}_2$) 流过倾斜平板的纳米流体。修正的 Krieger-Dougherty 和 Maxwell-Bruggeman 模型用于有效粘度和热导率，以说明聚集方面。结合了指数空间相关热源和热辐射的影响。相关参数对传热系数的影响是通过使用响应面方法和灵敏度分析来探索的。几个参数对板的表面摩擦和传热系数的影响通过表面图显示。比较了两种物理场景的速度和热分布：流过垂直板和流过倾斜板。非线性问题使用基于 Runge-Kutta 的射击技术解决。发现随着板的倾斜度增加，速度分布显着降低，另一方面，温度分布改善。由于哈特曼数的增加，传热系数降低。指数热源对热通量有递减作用，倾角对传热系数比其他变量更敏感。此外，当辐射增加时，热通量对倾角的敏感性以 0.5094% 的速度增加，对指数热源的敏感性以 0.0925% 的速度增加。此外，当板倾斜度从 由于哈特曼数的增加，传热系数降低。指数热源对热通量有递减作用，倾角对传热系数比其他变量更敏感。此外，当辐射增加时，热通量对倾角的敏感性以 0.5094% 的速度增加，对指数热源的敏感性以 0.0925% 的速度增加。此外，当板倾斜度从 由于哈特曼数的增加，传热系数降低。指数热源对热通量有递减作用，倾角对传热系数比其他变量更敏感。此外，当辐射增加时，热通量对倾角的敏感性以 0.5094% 的速度增加，对指数热源的敏感性以 0.0925% 的速度增加。此外，当板倾斜度从 当辐射增加时，热通量对倾角的敏感性增加了 0.5094%，对指数热源的敏感性增加了 0.0925%。此外，当板倾斜度从 当辐射增加时，热通量对倾角的敏感性增加了 0.5094%，对指数热源的敏感性增加了 0.0925%。此外，当板倾斜度从${60}^{\circ }$ 到 ${75}^{\circ }$.