The manuscript examines the motion of an Eyring–Prandtl nanofluid inside a horizontal asymmetric peristaltic nonuniform channel. A normal variable magnetic field affects the channel. The slip boundary-conditions are taken into consideration. The boundary-value problem involves the energy as well asthe concentration equations. The viscous dissipation of the thermal equation is considered. The flow is immersed in a porous medium. The governing equations of motion are solved by means of the Homotopy perturbation method (HPM). The distributions of the various functions are analytically obtained. The influences of the different parameters are authenticated throughout a set of diagrams. It is found that thermal-diffusion (Soret), diffusion-thermo (Dufour), Lorentz resisting force and induced magnetic have active effects on the distributions of the nano-particle; such as, concentration volume, temperature, and flow characteristics.

中文翻译：

---

磁感应通过多孔介质对蠕动的Eyring-Prandtl纳米流体的影响

该手稿检查了Eyring-Prandtl纳米流体在水平非对称蠕动非均匀通道内的运动。正常的可变磁场会影响通道。滑移边界条件被考虑在内。边值问题涉及能量以及浓度方程。考虑热方程的粘性耗散。将流浸入多孔介质中。运动控制方程借助同伦摄动法（HPM）求解。通过分析获得各种功能的分布。在一组图表中验证了不同参数的影响。发现热扩散（Soret），扩散热（Dufour），洛伦兹的抵抗力和感应磁场对纳米粒子的分布有积极的影响。例如浓度体积，温度和流量特性。