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首页> 外文期刊>International journal of numerical methods for heat & fluid flow >Effect of temperature on the MHD stagnation-point flow past an isothermal plate for a Boussinesquian Newtonian and micropolar fluid
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Effect of temperature on the MHD stagnation-point flow past an isothermal plate for a Boussinesquian Newtonian and micropolar fluid

机译：温度对Boussinesquian牛顿微极性流体通过等温板的MHD驻点流的影响

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Purpose - This paper aims to analyze the steady two-dimensional stagnation-point flow of an electrically conducting Newtonian or micropolar fluid when the obstacle is uniformly heated. Design/methodology/approach - The governing boundary layer equations are transformed into a system of ordinary differential equations using appropriate similarity transformations. Some analytical considerations about existence and uniqueness of the solution are obtained. The system is then solved numerically using the bvp4c function in MATLAB. Findings - If the temperature of the obstacle T_u, coincides with the environment temperature T_0, then the motion reduces to the usual orthogonal stagnation-point flow; if T_w = T_0, then it is necessary to include in the similarity function describing the velocity an oblique part due to the temperature. Also, the presence of a uniform external magnetic field orthogonal to the obstacle is examined. In all cases, the motion is reduced to a system of nonlinear ordinary differential equations with boundary conditions, whose solution is discussed numerically when the Prandtl and the Hartmann number varies. Originality/value - The present results are original and new for the problem of magnetohydrodynamic mixed convection in the plane stagnation-point flow of a Newtonian or a micropolar fluid over a vertical flat plate. At infinity, the motion approaches the orthogonal stagnation-point flow of an inviscid fluid; the effect of an uniform external magnetic field is considered, and the obstacle has a uniform temperature.
机译：目的-本文旨在分析当障碍物被均匀加热时，导电的牛顿流体或微极性流体的稳定二维停滞点流动。设计/方法/方法-使用适当的相似度转换，将控制边界层方程式转化为常微分方程组。获得了有关解决方案存在性和唯一性的一些分析考虑。然后使用MATLAB中的bvp4c函数对系统进行数值求解。结果-如果障碍物T_u的温度与环境温度T_0一致，则运动减少到通常的正交停滞点流；如果T_w = T_0，则必须在描述速度的相似度函数中包括由于温度引起的倾斜部分。此外，检查是否存在与障碍物正交的均匀外部磁场。在所有情况下，运动都被简化为带有边界条件的非线性常微分方程组，当Prandtl和Hartmann数变化时，将对其求解进行数值讨论。原创性/价值-对于牛顿流体或微极性流体在垂直平板上的平面滞止点流动中的磁流体动力混合对流问题，目前的结果是新颖的。在无穷远处，运动接近无粘性流体的正交停滞点流；考虑到均匀的外部磁场的影响，并且障碍物具有均匀的温度。

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