The aim of this research is to develop a fractional supported thermal model for studying the features of modified hybrid nanofluid endorsed by uniformly accelerating plate. The novel impact of this work is observing the comparative thermal enhancement of water base fluid by utilizing four types of nanoparticles. The silver, copper, aluminum oxide and titanium oxide nanomaterials are utilized to present the comparative thermal aspect of modified hybrid nanofluid model. Moreover, the inclined direction of magnetic impact is treated. The second-grade nonlinear model is used to explore the base fluid properties. The fractional model is first attained into dimensionless form. The fractional computations with employing the Prabhakar fractional mathematical definitions are reported. The motivations for suggesting the Prabhakar algorithm are justified as this fractional algorithm contains modern definitions without any restriction of singularities. The verification of model is accomplished after simulating the comparison task with already performed studies. The physical dynamic and thermal enhancement of transportation phenomenon is performed for specific range of flow parameters like $0.1\le \alpha \le 0.7,0.1\le \beta \le 0.7,$$0.1\le \gamma \le 0.7,0.7\le \mathrm{\text{Pr}}\le 4.5,0.01\le \phi \le 0.04,0.8\le \mathrm{\text{Sc}}\le 2.6,1.7\le \mathrm{\text{Gr}}\le 3.7,1.5\le \mathrm{\text{Gm}}\le 3.2$ and $\frac{\pi }{2}{\le 𝜃}_1\le \frac{\pi }{6}$ Based on the computational model, it is concluded that the thermal transportation phenomenon is more impressive for water-based titanium oxide nanoparticles. The temperature profile rises due to factional parameter for both copper–water- and sliver — water-based hybrid nanofluid suspension.

这项研究的目的是开发一个分数支持的热模型，用于研究均匀加速板支持的改性混合纳米流体的特性。这项工作的新影响是通过使用四种类型的纳米粒子观察水基流体的比较热增强。银、铜、氧化铝和氧化钛纳米材料用于展示改进的混合纳米流体模型的比较热学方面。此外，对磁冲击的倾斜方向进行了处理。二级非线性模型用于探索基液特性。首先将分数模型转化为无量纲形式。报告了使用 Prabhakar 分数数学定义的分数计算。提出 Prabhakar 算法的动机是合理的，因为这种分数算法包含现代定义，没有任何奇点限制。模型的验证是在用已经进行的研究模拟比较任务之后完成的。针对特定范围的流动参数，如$0.\mathrm{1个}\le \alpha \le 0.7,0.\mathrm{1个}\le \beta \le 0.7,$$0.\mathrm{1个}\le \gamma \le 0.7,0.7\le \mathrm{\text{压力}}\le \mathrm{4个}.\mathrm{5个},0.0\mathrm{1个}\le \phi \le 0.0\mathrm{4个},0.\mathrm{8个}\le \mathrm{\text{科学}}\le \mathrm{2个}.\mathrm{6个},\mathrm{1个}.7\le \mathrm{\text{克}}\le \mathrm{3个}.7,\mathrm{1个}.\mathrm{5个}\le \mathrm{\text{通用汽车}}\le \mathrm{3个}.\mathrm{2个}$和$\frac{\pi }{\mathrm{2个}}{\le 𝜃}_{\mathrm{1个}}\le \frac{\pi }{\mathrm{6个}}$基于计算模型，得出的结论是，水基二氧化钛纳米粒子的热传输现象更令人印象深刻。由于铜-水和银-水基混合纳米流体悬浮液的派系参数，温度曲线上升。