This article is concerned with the influences of the pressure work and Hall currents on the motion of a non-Newtonian nanofluid with heat and mass transfer inside a vertical symmetric channel. The fluid conforms to the Bingham–Papanastasiou model. The walls of the channel are assumed to be flexible, movable and sinusoidal. Thermal radiation, heat generation/absorption and chemical reaction are thus considered. Concerning the assumptions of the long wavelength and low Reynolds number, the resulting equations are solved by utilising the homotopy perturbation method (HPM). The succeeding complex computations are clarified for the stream flow, temperature and concentration distributions. A set of graphs is plotted to illustrate the effects of various physical parameters of the problem at hand. It is found that as the Bingham factor is increased, both axial velocity and temperature are also increased. Additionally, it is observed that the stress growth exponent has a dual influence on the axial velocity as well as the size of the trapped bolus. The behaviour of the left wall of the channel is different from that of the right wall. When the pressure work and Hall current coefficients increase, both temperature and pressure gradient decrease. The Brownian motion and thermophoresis parameters have different influence on the nanoparticle concentration distribution. Furthermore, it is shown that the heat transfer coefficient is a decreasing function in both Hall and thermal radiation parameters.

本文关注的是压力功和霍尔电流对非牛顿纳米流体在垂直对称通道内传热和传质的运动的影响。流体符合Bingham–Papanastasiou模型。假定通道的壁是柔性的，可移动的和正弦的。因此考虑了热辐射，热产生/吸收和化学反应。关于长波长和低雷诺数的假设，通过利用同伦扰动法（HPM）求解所得方程。阐明了随后的复杂计算，包括料流，温度和浓度分布。绘制了一组图形以说明当前问题的各种物理参数的影响。发现随着宾厄姆因子的增加，轴向速度和温度都增加了。另外，观察到应力增长指数对轴向速度以及所捕获的团块的尺寸具有双重影响。通道左壁的行为与右壁的行为不同。当压力功和霍尔电流系数增加时，温度和压力梯度都会降低。布朗运动和热泳参数对纳米粒子浓度分布有不同的影响。此外，表明在霍尔和热辐射参数中，传热系数都是递减函数。通道左壁的行为与右壁的行为不同。当压力功和霍尔电流系数增加时，温度和压力梯度都会降低。布朗运动和热泳参数对纳米粒子浓度分布有不同的影响。此外，表明在霍尔和热辐射参数中，传热系数都是递减函数。通道左壁的行为与右壁的行为不同。当压力功和霍尔电流系数增加时，温度和压力梯度都会降低。布朗运动和热泳参数对纳米粒子浓度分布有不同的影响。此外，表明在霍尔和热辐射参数中，传热系数都是递减函数。