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Oblique stagnation flow towards a rotating disc
European Journal of Mechanics - B/Fluids ( IF 2.6 ) Pub Date : 2020-09-11 , DOI: 10.1016/j.euromechflu.2020.08.009
Suman Sarkar , Bikash Sahoo

This work endeavours to study the problem of axisymmetric oblique stagnation point flow above a rotating disc. An external flow impinges obliquely on a disc when the disc is rotating with constant angular velocity. Suitable similarity variables are introduced, for the first time, to transform the governing Navier–Stokes equations into a highly nonlinear system of ordinary differential equations, governed by a rotation ratio parameter α and an obliquity parameter γ. These resulting equations are then solved numerically via the routine bvp4c function from MATLAB software. Impact of different parameters on the flow and velocity profiles are discussed through tables and graphs. Further, three-dimensional streamlines are drawn to reveal the detailed effects of the parameters on the flow domain. It is noticed that streamlines are to shift the location of the stagnation point towards the incoming flow. There is also a rotational motion around the stagnation point for the rotating disc case.



中文翻译:

斜停滞流向转盘

这项工作致力于研究旋转圆盘上方的轴对称斜停点流问题。当光盘以恒定角速度旋转时,外部流会倾斜地撞击光盘。首次引入合适的相似性变量,以将控制的Navier–Stokes方程转换为由旋转比参数控制的高度非线性的常微分方程组α 和一个倾角参数 γ。然后,通过MATLAB软件中的常规bvp4c函数,对这些所得方程进行数值求解。通过表格和图表讨论了不同参数对流速和速度曲线的影响。此外,绘制了三维流线以揭示参数对流域的详细影响。注意,流线将使停滞点的位置移向流入流。旋转盘盒的停滞点附近还会有旋转运动。

更新日期:2020-09-16
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