This communication intends to elaborate the mechanism of heat and mass transport of an unsteady stagnation point flow of Williamson nanofluid past a wedge subject to magnetohydrodynamics (MHD), thermophoresis and Brownian motion effects. In this study, the flow equations with magnetic parameter is incorporated especially in the Williamson fluid flow case. The appropriate transformations are used to convert the governing partial differential equations into ordinary differential equation and then solved numerically by using shooting scheme with fourth order Runge-Kutta-Fehlberg method in MATLAB software. The influence of wedge angle parameter, the local Weissenberg number, unsteadiness parameter, magnetic parameter, suction parameter, the Biot number, thermophoresis and Brownian motion parameter on dimensionless velocity, temperature and nanoparticle concentration fields as well as skin friction coefficient and local Nusselt number are rigorously demonstrated and discussed. This study also elaborates the critical range of velocity ratio parameter and suction parameter, for the existence of dual branch of solutions. The obtained results show that Biot number enhances the fluid temperature and concentration. Further, the suction parameter is an increasing function of rate of heat transfer. Furthermore, the analysis suggests that the upper branch solution is stable and physically possible.

该交流旨在详细说明威廉姆森纳米流体通过楔的不稳定停滞点流经过磁流体力学（MHD），热泳和布朗运动的热量和质量传递机制。在这项研究中，特别是在威廉姆森流体流动情况下，结合了具有磁性参数的流动方程。使用适当的转换将控制性偏微分方程转换为常微分方程，然后在MATLAB软件中使用四阶Runge-Kutta-Fehlberg方法使用射击方案进行数值求解。楔角参数，局部Weissenberg数，不稳定参数，磁参数，吸力参数，比奥数，热泳和布朗运动参数对无量纲速度的影响，严格地论证并讨论了温度和纳米粒子浓度场以及皮肤摩擦系数和局部Nusselt数。该研究还阐述了速度比参数和吸力参数的临界范围，因为存在解的双重分支。所得结果表明，比奥数提高了流体温度和浓度。此外，吸力参数是传热速率的增加函数。此外，分析表明，上部分支溶液是稳定的并且在物理上是可能的。所得结果表明，比奥数提高了流体温度和浓度。此外，吸力参数是传热速率的增加函数。此外，分析表明，上部分支溶液是稳定的并且在物理上是可能的。所得结果表明，比奥数提高了流体温度和浓度。此外，吸力参数是传热速率的增加函数。此外，分析表明，上部分支溶液是稳定的并且在物理上是可能的。