Abstract A numerical study is carried out for the magnetohydrodynamics (MHD) convective stagnation point flow of a incompressible nanofluid towards a stretching surface. The effects of Brownian motion and thermophoresis are incorporated for the characteristic of the nanofluid. The transformed dimensionless governing equations are solved directly by the collocation spectral method (CSM). Graphical results are presented and analyzed for non-dimensional velocities, temperature and nanoparticle concentration. The effects of Prandtl number, magnetic field, viscous dissipation, heat source/sink with suction/injection, Lewis number, thermophoresis parameters and Brownian motion parameter, etc., on flow, thermal and concentration boundary layer as well as on skin-friction coefficient, local Nusselt number and Sherwood number are obtained and discussed. The two-dimensional irregular characteristics have been found in the velocity and temperature distributions in the flow and normal directions.

中文翻译：

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MHD非牛顿纳米流体向拉伸板的对流驻点流动

摘要 对不可压缩纳米流体流向拉伸表面的磁流体动力学（MHD）对流驻点流动进行了数值研究。布朗运动和热泳的影响被纳入纳米流体的特性。转换后的无量纲控制方程直接通过搭配谱法 (CSM) 求解。呈现并分析了无量纲速度、温度和纳米粒子浓度的图形结果。普朗特数、磁场、粘性耗散、吸/注入热源/汇、路易斯数、热泳参数和布朗运动参数等对流动、热和浓度边界层以及皮肤摩擦系数的影响，获得并讨论了局部 Nusselt 数和 Sherwood 数。