This paper aims to analyze the second law of the thermodynamic for the non-Newtonian power-law nanofluids flow between inclined polygonal/polygonal or polygonal/cylinder shapes. Multi-wall carbon nanotubes are incorporated in the ethylene glycol as a base fluid to formulate the worked suspension. Electromagnetic forces together with the thermal radiation are taken into account. Unusually, the magnetic field is assumed to be horizontal while the flow domain is inclined and a semi implicit treatment is presented for the magnetic terms. The solution methodology is depending on the Galerkin finite element method (FEM) and the Characteristic-Based Split (CBS) scheme. Various designs for the considered models are considered based on the areas and shapes of the inner polygonal/cylinder. The main outcomes revealed that area of the flow and power-law index $N$ control in the convective and heat transfer process. Also, the fluid friction irreversibility takes its maximum values at high values of the power-law index. Furthermore, ratios of the increase in values of the entropy tools ($S_T^{+},S_F^{+},S_{\mathit{tot}}^{+})$ due to the variations of $\gamma$ take their maximum at $\gamma =30$ and low values of $\mathit{Ha}$.

本文旨在分析非牛顿幂律纳米流体在倾斜多边形/多边形或多边形/圆柱形状之间流动的热力学第二定律。多壁碳纳米管作为基础流体掺入乙二醇中以配制加工过的悬浮液。电磁力和热辐射都被考虑在内。不同寻常的是，假设磁场是水平的，而流域是倾斜的，并且对磁项进行了半隐式处理。求解方法取决于 Galerkin 有限元方法 (FEM) 和基于特征的拆分 (CBS) 方案。根据内部多边形/圆柱体的面积和形状，考虑所考虑模型的各种设计。主要结果表明，流量和幂律指数的面积$N$对流和传热过程中的控制。此外，流体摩擦不可逆性在幂律指数的高值处取其最大值。此外，熵工具的值增加的比率（${秒}_{吨}^{+},{秒}_F^{+},{秒}_{\mathit{总}}^{+})$ 由于的变化 $\gamma$ 取最大值 $\gamma =30$ 和低值 $\mathit{哈}$.