Department of Mathematics, Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania.
Sci Rep. 2017 Jan 12;7:40299. doi: 10.1038/srep40299.
In this paper, the problem of normal impingement rotational stagnation-point flow on a radially permeable stretching sheet in a viscous fluid, recently studied in a very interesting paper, is extended to a water-based nanofluid. A similarity transformation is used to reduce the system of governing nonlinear partial differential equations to a system of ordinary differential equations, which is then solved numerically using the function bvp4c from Matlab. It is found that dual (upper and lower branch) solutions exist for some values of the governing parameters. From the stability analysis, it is found that the upper branch solution is stable, while the lower branch solution is unstable. Sample velocity and temperature profiles along both solution branches are graphically presented.
本文将最近在一篇非常有趣的论文中研究的法向冲击旋转驻点流问题扩展到粘性流体中径向可渗透拉伸片上的问题,并将其扩展到水基纳米流体中。相似变换用于将控制非线性偏微分方程组简化为常微分方程组,然后使用 Matlab 中的函数 bvp4c 进行数值求解。结果发现,对于某些控制参数值存在双(上支和下支)解。通过稳定性分析发现,上支解是稳定的,而下支解是不稳定的。图形显示了两条解分支上的速度和温度分布样例。