In the current paper, a semi-analytical solution is obtained for the problem of the peristaltic motion of Jeffrey nanofluid with heat transfer inside an asymmetric channel. The influences of variable viscosity, thermal conductivity, Hall currents, Joule heat and viscous dissipation are taken into consideration. The problem is modulated mathematically by a system of non-linear partial deferential equations which describe the fluid velocity, temperature and nanoparticles concentration distributions. This system is simplified by considering long wavelength of the peristaltic wave and low Reynolds number. It is solved by using the multi-step deferential transform method to obtain the velocity, temperature and nanoparticles concentration distributions, pressure rise and pressure gradient. These solutions are obtained as functions of the physical parameters of the problem. Tables and figures are discussed to see the effects of these parameters. It is found that the thermal conductivity parameter causes an increase in the pressure gradient, meanwhile it reduces the pressure rise. Furthermore, it is noticed that the behavior of Brownian and thermophoresis parameters on nanoparticles concentration field are quite reverse.

中文翻译：

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霍尔电流对Jeffery纳米流体蠕动流的半分析处理

在当前的论文中，对于在不对称通道内传热的杰弗里纳米流体的蠕动问题，获得了一个半解析解。考虑了可变粘度，导热系数，霍尔电流，焦耳热和粘性耗散的影响。该问题是通过描述流体速度，温度和纳米颗粒浓度分布的非线性偏微分方程组进行数学调节的。考虑到蠕动波的长波长和低雷诺数，简化了该系统。通过使用多步微分变换方法来求解它，以获得速度，温度和纳米颗粒浓度分布，压力上升和压力梯度。这些解决方案是根据问题的物理参数获得的。讨论表格和图形以查看这些参数的效果。发现导热系数导致压力梯度增加，同时减小压力上升。此外，注意到布朗参数和热泳参数在纳米粒子浓度场上的行为是完全相反的。