Practical Applications: Numerous technical applications, including as polymer deposition, electrolysis control, medication delivery, spin-stabilized missile cooling and cooling of rotating machinery slices have sparked considerable interest in studying stagnation point flow. Nuclear power plants, photovoltaic panels and heat exchangers as well as microfluidic heating devices use them.

Purpose: To better understand the unsteady $(\mathrm{\text{Cu}}$–${\mathrm{\text{Fe}}}_3{\mathrm{\text{O}}}_4$–$\mathrm{\text{Si}}{\mathrm{\text{O}}}_2\mathrm{\text{/polymer}})$ ternary hybrid nanofluid stream at the stagnation zone with Joule heating, this research examines the unique prospective applicative properties.

Methodology: The flow equations will be modeled. By using similarity transformation, it is possible to transform nonlinear partial differential equations (PDEs) that are not precisely solvable into ordinary differential equations (ODEs) that can be numerically resolved. Runge–Kutta-IV and the shooting technique in MATHEMATICA have been demonstrated to have a significant effect on the predominance of heat exchange and the mobility features of ternary hybrid nanofluids.

Findings: Results show that the unsteadiness parameter influences the $x$-direction velocity and mono nanofluid has a larger velocity than other nanofluids, while the opposite is true for the $z$-direction velocity. Nanoparticle concentrations, magnetic and Eckert number characteristics increase the thermal distribution, whereas the unsteadiness and rotation parameter decreases it. Unsteadiness, rotation and magnetic factors all improve heat transfer, while the Eckert number parameter has the reverse effect. The ternary hybrid nanofluid also has a greater heat transfer rate than the hybrid and normal nanofluids.

Originality: Unsteady $(\mathrm{\text{Cu}}$–${\mathrm{\text{Fe}}}_3{\mathrm{\text{O}}}_4$–$\mathrm{\text{Si}}{\mathrm{\text{O}}}_2\mathrm{\text{/polymer}})$ ternary nanofluid stream generated by magneto hydrodynamic (MHD) in the stagnation zone was studied in detail in this study. To avoid any errors in heat transfer, it may assist other researchers in selecting critical parameters for modern industrial heat transfer and the right parameters for developing nonunique solutions.

实际应用：许多技术应用，包括聚合物沉积、电解控制、药物输送、自旋稳定导弹冷却和旋转机械切片冷却，已经引起了人们对研究驻点流的极大兴趣。核电站、光伏板和热交换器以及微流体加热设备都使用它们。

目的：更好地理解不稳定$(\mathrm{\text{铜}}$–${\mathrm{\text{铁}}}_{\mathrm{3个}}{\mathrm{\text{欧}}}_{\mathrm{4个}}$–$\mathrm{\text{硅}}{\mathrm{\text{欧}}}_{\mathrm{2个}}\mathrm{\text{/聚合物}})$焦耳热停滞区的三元杂化纳米流体流，本研究考察了其独特的前瞻性应用特性。

方法：将对流动方程进行建模。通过使用相似变换，可以将不能精确求解的非线性偏微分方程 (PDE) 转换为可以数值求解的常微分方程 (ODE)。Runge-Kutta-IV 和 MATHEMATICA 中的射击技术已被证明对热交换的优势和三元混合纳米流体的流动特性有显着影响。

调查结果：结果表明，不稳定参数会影响$X$- 方向速度和单纳米流体具有比其他纳米流体更大的速度，而反之亦然$z$-方向速度。纳米粒子浓度、磁性和埃克特数特性增加了热分布，而不稳定性和旋转参数降低了热分布。不稳定、旋转和磁因素都会改善传热，而埃克特数参数则起到相反的作用。三元混合纳米流体还具有比混合和普通纳米流体更大的传热速率。

原创性：不稳定$(\mathrm{\text{铜}}$–${\mathrm{\text{铁}}}_{\mathrm{3个}}{\mathrm{\text{欧}}}_{\mathrm{4个}}$–$\mathrm{\text{硅}}{\mathrm{\text{欧}}}_{\mathrm{2个}}\mathrm{\text{/聚合物}})$本研究详细研究了停滞区中由磁流体动力学 (MHD) 产生的三元纳米流体流。为避免热传递中的任何错误，它可以帮助其他研究人员选择现代工业热传递的关键参数和开发非唯一解决方案的正确参数。