In this article mixed convection flow of nanofluid near a vertical wall is studied for cases of active and passive control. Flow is governed by nonlinear Partial Differential Equations (PDEs), which are transformed into nonlinear ODEs by using similarity transformations. Nonlinear system of equations is solved via two different techniques which are: Modified Chebyshev wavelets scheme and Finite different method. The impact of emerging parameters including free parameter "A" on velocity, temperature and concentration profiles is plotted. Some values of the physical parameters against the active and passive controls for streamlines are calculated. Tables for values of A, components of skin friction, heat flux and mass flux against different parameters are also given. Streamlines are also plotted to predict the flow patterns at various locations inside flow. In this study we found that velocity of flow has same behavior in both active and passive controls, however, temperature and concentration profiles are more sensitive to the passive control.

在本文中，针对主动和被动控制的情况，研究了垂直壁附近纳米流体的混合对流流动。流动由非线性偏微分方程 (PDE) 控制，通过使用相似变换将其转换为非线性 ODE。非线性方程组通过两种不同的技术求解，它们是：修正切比雪夫小波方案和有限差分法。包括自由参数“ A”在内的新兴参数的影响绘制速度、温度和浓度曲线。计算了针对流线的主动和被动控制的物理参数的一些值。还给出了针对不同参数的 A 值、皮肤摩擦分量、热通量和质量通量的表。还绘制了流线以预测流动内部不同位置的流动模式。在这项研究中，我们发现流速在主动和被动控制中具有相同的行为，但是，温度和浓度分布对被动控制更敏感。