This research explores numerically the impact of the aligned magnetic field on Williamson's nanofluid on a stretching surface with convective boundary conditions. The ordinary differential equations(ODE's) are obtained from the partial differential equations(PDE's) employing the transformation of similarity. Such equations are computed with the respective limits with Runge-Kutta – Fehlberg's fourth-fifth order method along with a shooting procedure. The functions of the many parameter values on the flow field profiles are graphically presented and examined. The current results agree well with previous works. The local skin friction, the local Nusselt number, and the local Sherwood number are shown with graphs and tables for changed values of the flow constraints.

这项研究从数值上探讨了对流边界条件下取向磁场对拉伸表面上威廉姆森纳米流体的影响。利用相似变换从偏微分方程（PDE）中获得常微分方程（ODE）。这样的方程式是用Fegeberg的四阶五阶方法Runge-Kutta以及射击程序在各自的极限下计算的。图形显示并检查了流场轮廓上许多参数值的功能。目前的结果与以前的工作非常吻合。图表和表格显示了局部皮肤摩擦力，局部Nusselt数和局部Sherwood数，以显示流量约束的变化值。