The current study addresses the influences of Brownian motion and thermophoretic force on non-Newtonian fluid flow. Eyring–Powell fluid serves as the base fluid for heat and mass transfer through a porous channel. Buongiorno model for nanofluid is incorporated into the convection–diffusion equation to investigate the random motion of tiny spherical particles. Additional contributions of viscous dissipation and thermal radiation have also been applied by formulating two different types of flows. A system of nonlinear coupled differential equations is solved with the help of the “regular perturbation method”. For the limiting case, a numerical solution is obtained to validate the computational results with existing literature and it is found to be in complete agreement. Eventually, it is inferred that the heat transfer rate dominates in nanofluid flow due to the moving plate, while the mass transfer is more prominent in generalized Couette nanoflow of Eyring–Powell fluid.

中文翻译：

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布朗运动和热泳力通过多孔几何对 Eyring-Powell 流体的同时影响

目前的研究解决了布朗运动和热泳力对非牛顿流体流动的影响。Eyring-Powell 流体用作通过多孔通道进行传热和传质的基础流体。纳米流体的 Buongiorno 模型被纳入对流扩散方程，以研究微小球形颗粒的随机运动。通过制定两种不同类型的流动，还应用了粘性耗散和热辐射的额外贡献。借助“正则微扰法”求解非线性耦合微分方程组。对于极限情况，获得了一个数值解来验证与现有文献的计算结果，并且发现它是完全一致的。最终，