The present framework intends to present a comprehensive study that relates the innovative idea of porous media followed by modified Darcy’s law. Nanofluid flow has been investigated with Ree-Eyring as base fluid model. The contraction and relaxation of smooth muscle stems the peristaltic waves that induce the flow along the curved channel. The flow kinetics further involve variable viscosity, magnetohydrodynamics, viscous dissipation and thermo-diffusion (Soret) effects. The adherence condition (slip condition) in terms of velocity, temperature and concentration is retained. The curved channel walls are flexible. The resulting nonlinear PDEs are transformed into ODEs via lubrication approach. The striking features of flow, temperature and mass transfer outcomes under the involved parameters are examined by plotting graphs.

本框架旨在提供全面的研究，将多孔介质的创新思想与修正的达西定律联系起来。以Ree-Eyring作为基础流体模型研究了纳米流体的流动。平滑肌的收缩和松弛阻止了蠕动波，该蠕动波引起沿弯曲通道的流动。流动动力学还涉及可变粘度，磁流体动力学，粘性耗散和热扩散（Soret）效应。在速度，温度和浓度方面的粘附条件（滑移条件）得以保留。弯曲的通道壁是柔性的。通过润滑方法将生成的非线性PDE转换为ODE。通过绘制图表来检查所涉及参数下的流量，温度和传质结果的显着特征。