The main objective of current study is investigation on thermo-hydraulic behavior of nanofluids in a sinusoidal wavy channel as a novel geometry under influences of thermophoresis and Brownian motion. Differential quadrature method and optimal homotopy asymptotic scheme have been employed to solve the momentum, continuity, energy and nanoparticle fraction equations. The validity of the proposed approaches is evaluated by comparing with previously published results. The impacts of some other physical parameters on temperature, nanoparticle concentration and velocity profiles will be analyzed in details. For instance, the results indicate that increment of the thermophoresis leads to enhance in values of temperature distribution. Also, the volume fraction of nanoparticle enhances by decreasing the parameter of thermophoresis.

当前研究的主要目的是研究纳米流体在正弦波状通道中的热水力学行为，作为一种在热泳和布朗运动影响下的新型几何形状。已经采用微分求积法和最优同伦渐近方案来求解动量、连续性、能量和纳米粒子分数方程。通过与先前公布的结果进行比较来评估所提出方法的有效性。将详细分析其他一些物理参数对温度、纳米粒子浓度和速度分布的影响。例如，结果表明热泳的增加导致温度分布值的增加。此外，纳米颗粒的体积分数通过降低热泳参数而增加。