The thermal and velocity slips of boundary layer of Williamson nanofluid over a stretching sheet are studied numerically. Buongiorno model is used to explore the heat transfer phenomena caused by Brownian motion and thermophoresis. Using similarity transformations, the governing equations are reduced to a set of nonlinear ordinary differential equations (ODEs). These equations are solved numerically by using Shooting method. The effects of non-Newtonian Williamson parameter, velocity and thermal slip parameters, Prandtl number, Brownian parameter, Schmidt number, Lewis number, Brownian motion parameter, thermophoresis parameter on velocity, temperature and concentration fields are shown graphically and discussed. The results found that the thickness of boundary layer decreases as the slip and thermal factor parameter increases. Further, present results indicate that the nanofluid temperature and concentration are enhanced with a rise of Williamson parameter. The Nusselt number is reduced with an increase of the Lewis and Prandtl numbers.

数值研究了拉伸片上Williamson纳米流体边界层的热滑移和速度滑移。Buongiorno模型用于研究布朗运动和热泳引起的传热现象。使用相似变换，控制方程可简化为一组非线性常微分方程（ODE）。通过使用Shooting法对这些方程进行数值求解。图形化地显示并讨论了非牛顿威廉姆森参数，速度和热滑移参数，普朗特数，布朗参数，施密特数，路易斯数，布朗运动参数，热泳参数对速度，温度和浓度场的影响。结果发现，边界层的厚度随着滑移和热因子参数的增加而减小。进一步，目前的结果表明，随着Williamson参数的增加，纳米流体的温度和浓度得以提高。随着Lewis和Prandtl数的增加，Nusselt数减少。