This study enlightens the magnetohydrodynamic Jeffery-Hamel flow under an inclined Lorentz force through a non-uniform conduit having slip at walls, which is frequently applied in geothermal applications, electronic cooling devices, and modern energy systems, etc. Therefore, the performance of a two-dimensional purely radial flow inside a converging-diverging channel is explored from the perspective of second law of thermodynamics for Carreau nanofluids. The intersecting walls of conduit are inclined with horizontal plane to construct a converging flow for negative angle $\left(\alpha <0\right)$ and a diverging flow for positive angle $\left(\alpha >0\right)$. Additionally, second law thermodynamic evaluation offers an effective method for improving thermal performance by reducing entropy production. To accomplish the main objective, rigorous physical theories and assumptions are implemented based on the passive control approach of Buongiorno's model. By applying distinctive modifications, the governing equations are renovated into a system of ordinary differential equations, which are solved numerically by a collocated technique based on finite difference code. Simple shear near the wall influences the flow configurations allow compression in a local flow topology in regions of divergent channel. The temperature profiles increase with sophisticated heat source and Brinkman number. Entropy is minimum and uniform with optimum channel angle and velocity slip.

本研究揭示了倾斜洛伦兹力下的磁流体力学 Jeffery-Hamel 流通过壁面有滑移的非均匀管道，该管道经常应用于地热应用、电子冷却设备和现代能源系统等。因此，性能从 Carreau 纳米流体的热力学第二定律的角度探讨了收敛-发散通道内的二维纯径向流动。管道相交壁与水平面倾斜，构成负角合流$\left(\alpha <0\right)$和正角的发散流$\left(\alpha >0\right)$. 此外，第二定律热力学评估提供了一种通过减少熵产生来提高热性能的有效方法。为实现主要目标，基于 Buongiorno 模型的被动控制方法实施严格的物理理论和假设。通过应用独特的修改，控制方程被改造为常微分方程组，这些方程组通过基于有限差分代码的配置技术进行数值求解。壁附近的简单剪切会影响流动配置，从而允许在发散通道区域中的局部流动拓扑中进行压缩。温度曲线随着复杂的热源和布林克曼数的增加而增加。熵最小且均匀，具有最佳通道角度和速度滑移。