Vorticity reconnection during vortex cutting by a blade
Vorticity reconnection during vortex cutting by a blade
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刀片涡流切割过程中的涡重连接
DOI：
10.1017/jfm.2015.531
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发表时间：
2015
影响因子：
3.7
通讯作者：
Marshall, Jeffrey S.
中科院分区：
文献类型：
--
作者：
Saunders, D. Curtis;Marshall, Jeffrey S.
本文报道了叶片切割涡流时涡量重联与涡线断裂和重联相关的计算研究。描述了一系列不同涡流强度下涡流切割的N-S数值模拟，并与传统的涡管重联过程中的不同阶段进行了比较。Melander&Hussain(Phys.)所描述的涡管重联的三个阶段。流体(A，Vol.1(4)，1989，pp.(633-635))在涡流切割问题中被发现是对应的，尽管我们也指出了实现这些阶段的详细机制中的许多差异。在旋涡切割过程中，尤其重要的是在重联区内存在来自叶片表面的涡量生成，以及由于围绕叶片前缘的环境流动而存在的强烈的涡流拉伸。给出了一个简单精确的Navier-Stokes解，它描述了入射涡量被环境气流拉伸并带到表面，然后与表面产生的涡量相互作用并最终被扩散相互作用所湮没的过程。该模型结合了Hiemenz应变流、Burgers涡旋层和Stokes第一问题边界层，得到了一个非线性常微分方程组和一个两个尺度的时间和距离变量的偏微分方程组，必须进行数值求解。SIMPLE模型的预测结果与前缘驻点附近涡量湮没的完整数值模拟结果定性一致。
A computational study of vorticity reconnection, associated with the breaking and reconnection of vortex lines, during vortex cutting by a blade is reported. A series of Navier–Stokes simulations of vortex cutting with different values of the vortex strength are described, and the different phases in the vortex cutting process are compared to those of the more traditional vortex tube reconnection process. Each of the three phases of vortex tube reconnection described by Melander & Hussain (Phys. Fluids A, vol. 1(4), 1989, pp. 633–635) are found to have counterparts in the vortex cutting problem, although we also point out numerous differences in the detailed mechanics by which these phases are achieved. Of particular importance in the vortex cutting process is the presence of vorticity generation from the blade surface within the reconnection region and the presence of strong vortex stretching due to the ambient flow about the blade leading edge. A simple exact Navier–Stokes solution is presented that describes the process by which incident vorticity is stretched and carried towards the surface by the ambient flow, and then interacts with and is eventually annihilated by diffusive interaction with vorticity generated at the surface. The model combines a Hiemenz straining flow, a Burgers vortex sheet and a Stokes first problem boundary layer, resulting in a nonlinear ordinary differential equation and a partial differential equation in two scaled time and distance variables that must be solved numerically. The simple model predictions exhibit qualitative agreement with the full numerical simulation results for vorticity annihilation near the leading-edge stagnation point during vortex cutting.
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