The present study is related to the effects of activation energy and thermophoretic diffusion on steady micropolar fluid along with Brownian motion. The activation energy and thermal conductivity of steady micropolar fluid are also discussed. The equation of motion, angular momentum, temperature, concentration, and their boundary conditions are presented for the micropolar fluid. The detail of geometry reveals the effects of several parameters on the parts of the system. The nonlinear partial differential equations are converted into nonlinear ordinary differential equations, and a famous shooting scheme is used to present the numerical solutions. The comparison of the obtained results by the shooting technique and the numerical bvp4c technique is presented. The behavior of local skin friction numbers and couple stress number is tabulated for different parameters, and some figures are plotted to present the different parameters. For uplifting the values of AE for parameter , the concentration profile is increased because of the Arrhenius function, and AE increases with the reduction of this function. The increasing values of the parameter of rotation G show the decrement in velocity because of the rotation of the particle of the fluid, so the linear motion decreases. Thermophoresis is responsible for shifting the molecules within the fluid, and due to this, an increment in boundary layer thickness is found, so by a greater value of , the concentration profile decreases and temperature profile goes down.

中文翻译：

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纳米粒子的活化能和热泳扩散对稳态微极性流体以及布朗运动的影响

本研究与活化能和热泳扩散对稳定微极性流体以及布朗运动的影响有关。还讨论了稳定的微极性流体的活化能和热导率。给出了微极性流体的运动方程，角动量，温度，浓度及其边界条件。几何图形的细节揭示了几个参数对系统各部分的影响。将非线性偏微分方程转换为非线性常微分方程，并采用著名的射击方案来给出数值解。给出了通过射击技术和数值bvp4c技术获得的结果的比较。表中列出了针对不同参数的局部皮肤摩擦数和耦合应力数的行为，并绘制了一些数字以表示不同的参数。用于提升参数的AE值，浓度分布因Arrhenius函数而增加，而AE随着此函数的减少而增加。旋转参数G的增加值表明由于流体粒子的旋转而导致速度降低，因此线性运动减小。热泳负责移动流体中的分子，因此，发现边界层厚度增加，因此，通过增大，浓度曲线减小，温度曲线下降。