Two dimensional, steady, forced convection magnetohydrodynamic flow of an incompressible, viscous electrically conducting fluid in a forward stagnation region of an infinite solid surface with Newtonian heating, constant wall temperature and constant heat flux has been investigated. Governing partial differential equations for the exploration have been formulated and converted to nonlinear ordinary differential equations by inserting convenient variables. An efficient finite element scheme along to Gauss elimination method has been introduced to find the numerical solutions of the resultant equations. Variation in velocity and temperature distributions against the pertinent parameters like magnetic parameter, Prandtl number and Eckert number have been displayed graphically while skin-friction coefficient and Nusselt number have been discussed quantitatively. A comparison of the computational results has been found in excellent agreement with open literature for limiting cases.

中文翻译：

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驻点附近MHD强制对流流动和牛顿加热，恒定壁温和恒定热通量的传热的有限元方案

研究了牛顿加热，恒定壁温和恒定热通量的无限固体表面正向滞流区域中不可压缩粘性流体的二维，稳定，强制对流磁流体流动。已经制定了用于勘探的主导偏微分方程，并通过插入方便的变量将其转换为非线性常微分方程。介绍了一种有效的有限元方案以及高斯消去法，以找到所得方程的数值解。速度和温度分布随相关参数（如磁参数，Prandtl数和Eckert数已以图形方式显示，而皮肤摩擦系数和Nusselt数已进行了定量讨论。已发现计算结果的比较与有限情况下的公开文献非常一致。