Partially ionised materials react differently when exposed to an outer magnetic field. In thermalfluidic systems, Hall and Ion slip parameters are crucial for decreasing loss of heat. This article offer an appropriate approach for computing an inadequate Jeffery-Hamel flow and heat transport of a partially ionzied Power-law nanofluid. The Jeffery-Hamel flows has a variety of practical application where the flow are confined between two non-parallel walls. The flow from a source located at the diverging inlet and existing at a converging outlet driven by a constant pressure gradient. To enhance its energy efficiency, the nanomaterial are dispersed in a Power-law fluid which serves a base fluid. The problem formulation is carried out using Navier–Stokes equation, Ohm’s law and classical Fourier’s law. Effects of Hall current and Ion slip for Darcy-Forchheimer flow are taken into account. The modeled equations are reduced into a system of ordinary differential equation. Fluid flow, frictional drag and heat transfer characteristics are explored as a function of divergence and convergence angle. A straight forward MATLAB BVP4c function is used to achieve the numerical solutions of the system. The findings demonstrated that the Hall current and Ion slip are increasing function of fluid velocity while their effects are opposite for temperature. Higher values of Reynold number and Weissenberg number detracts the frictional drag. In a diverging flow, the Weissenberg number, inertia friction and porosity decelerate the flow profile. The temperature is favorable and higher for Eckert, porosity and Hall effects. Thecoefficient of frictional drag increases by optimizing the permeability, magnetic, and Darcy parameters. Furthermore, the ion-slip number and Hall current parameter reduces the skin friction coefficient. The local Nusselt number and skin friction coefficients are increasing function of the diverging region.

中文翻译：

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考虑部分电离幂律纳米流体的 Darcy-Forchheimer 流，改进的 Jaffrey-Hamel 问题具有增强的热传输属性

当暴露于外部磁场时，部分电离的材料会发生不同的反应。在热流体系统中，霍尔和离子滑移参数对于减少热量损失至关重要。本文提供了一种计算部分电离幂律纳米流体的不充分 Jeffery-Hamel 流动和热传输的适当方法。 Jeffery-Hamel 流具有多种实际应用，其中流被限制在两个不平行的壁之间。来自位于分流入口处的源并存在于由恒定压力梯度驱动的会聚出口处的流量。为了提高其能量效率，纳米材料被分散在作为基液的幂律流体中。问题的表述是使用纳维-斯托克斯方程、欧姆定律和经典傅里叶定律进行的。考虑了霍尔电流和离子滑移对 Darcy-Forchheimer 流的影响。建模方程被简化为常微分方程组。流体流动、摩擦阻力和传热特性被探索为发散角和会聚角的函数。使用直接的 MATLAB BVP4c 函数来获得系统的数值解。研究结果表明，霍尔电流和离子滑移是流体速度的增函数，而它们对温度的影响相反。雷诺数和魏森伯格数的值越高，摩擦阻力就越小。在发散流中，魏森伯格数、惯性摩擦和孔隙率会减慢流动剖面。温度对于埃克特效应、孔隙率和霍尔效应是有利且较高的。通过优化磁导率、磁力和达西参数来增加摩擦阻力系数。此外，离子滑移数和霍尔电流参数降低了表面摩擦系数。局部努塞尔数和表面摩擦系数是发散区域的增函数。