We study constant and variable fluid properties together to investigate their effect on MHD Powell–Eyring nanofluid flow with thermal radiation and heat generation over a variable thickness sheet. The similarity variables assist in having ordinary differential equations acquired from partial differential equations (PDEs). A novel numerical procedure, the simplified finite difference method (SFDM), is developed to calculate the physical solution. The SFDM described here is simple, efficient, and accurate. To highlight its accuracy, results of the SFDM are compared with the literature. The results obtained from the SFDM are compared with the published results from the literature. This gives a good agreed solution with each other. The velocity, temperature, and concentration distributions, when drawn at the same time for constant and variable physical features, are observed to be affected against incremental values of the flow variables. Furthermore, the impact of contributing flow variables on the skin friction coefficient (drag on the wall) and local Nusselt (heat transfer rate on the wall) and Sherwood numbers (mass transfer on the wall) is illustrated by data distributed in tables. The nondimensional skin friction coefficient experiences higher values for constant flow regimes especially in comparison with changing flow features.

中文翻译：

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具有可变厚度表面和可变流体特性的EMHD鲍威尔-厄林纳米流体流的简化有限差分法（SFDM）

我们一起研究了恒定和可变流体特性，以研究它们对MHD Powell-Eyring纳米流体流动的影响，以及在可变厚度板上的热辐射和热量产生。相似变量有助于从偏微分方程（PDE）获取常微分方程。开发了一种新的数值程序，即简化有限差分法（SFDM），以计算物理解。此处描述的SFDM简单，高效且准确。为了突出其准确性，将SFDM的结果与文献进行了比较。从SFDM获得的结果与文献中发表的结果进行比较。这给彼此提供了一个很好的解决方案。速度，温度和浓度分布 当针对恒定和可变的物理特征同时绘制时，观察到它们受到流量变量增量值的影响。此外，表中分布的数据说明了贡献流量变量对皮肤摩擦系数（壁上的阻力）和局部Nusselt（壁上的传热速率）和舍伍德数（壁上的传质）的影响。对于恒定的流动状态，尤其是与变化的流动特征相比，无量纲的皮肤摩擦系数具有较高的值。表中分配的数据说明了贡献的流量变量对皮肤摩擦系数（壁上的阻力）和局部Nusselt（壁上的传热速率）和舍伍德数（壁上的传质）的影响。对于恒定的流动状态，尤其是与变化的流动特征相比，无量纲的皮肤摩擦系数具有较高的值。表中分配的数据说明了贡献的流量变量对皮肤摩擦系数（壁上的阻力）和局部Nusselt（壁上的传热速率）和舍伍德数（壁上的传质）的影响。对于恒定的流动状态，尤其是与变化的流动特征相比，无量纲的皮肤摩擦系数具有较高的值。