The present study investigates the rate of heat and mass transfer in MHD Williamson nanofluid flow over an exponentially porous stretching surface subject to the heat generation/absorption and mass suction. The analysis has been carried out for the two different conditions of heat transfer stated as prescribed exponential order surface temperature (PEST) and prescribed exponential order heat flux (PEHF). Moreover, an exterior magnetic field is applied with an inclined angle along the stretched surface. Mathematically, the existing flow problem has been configured in accordance with the fundamental laws of motion and heat transfer. The similarity transformations have been used to transform the governing equations into the nonlinear ordinary differential equations (ODEs). The numerical solution to the resulting nonlinear ODEs with the associated boundary conditions have been obtained with the utilization of bvp4c package in MATLAB. The behavior of the resulting equations of the problem is checked graphically under the influence of various flow parameters which ensures that the rate of heat transfer decreases with the increase of Brownian motion parameter as well as it increases with the increase of thermophoresis parameter. Moreover, the Sherwood number increases with the rising values of the Prandtl number and Lewis number.

本研究调查了受热产生/吸收和吸力作用的指数多孔拉伸表面上MHD Williamson纳米流体中的传热和传质速率。已针对两种不同的传热条件进行了分析，这些条件表示为规定的指数级表面温度（PEST）和规定的指数级热通量（PEHF）。此外，沿拉伸表面以倾斜角度施加外部磁场。在数学上，已经根据运动和热传递的基本定律配置了现有的流动问题。相似变换已用于将控制方程式转换为非线性常微分方程式（ODE）。利用MATLAB中的bvp4c软件包，获得了具有相关边界条件的非线性ODE的数值解。在各种流动参数的影响下，以图形方式检查问题的结果方程的行为，这确保了传热速率随着布朗运动参数的增加而降低，并且随着热泳参数的增加而增加。而且，舍伍德数随着普朗特数和路易斯数的值的增加而增加。在各种流动参数的影响下，以图形方式检查问题的结果方程的行为，这确保了传热速率随着布朗运动参数的增加而降低，并且随着热泳参数的增加而增加。而且，舍伍德数随着普朗特数和路易斯数的值的增加而增加。在各种流动参数的影响下，以图形方式检查问题的结果方程的行为，这确保了传热速率随着布朗运动参数的增加而降低，并且随着热泳参数的增加而增加。而且，舍伍德数随着普朗特数和路易斯数的值的增加而增加。