Unsteady flow due to an impulsively started rotating sphere
Unsteady flow due to an impulsively started rotating sphere
复制标题
由于脉冲启动旋转球体而导致不稳定流动
DOI：
10.1016/0045-7930(88)90015-1
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发表时间：
1988
影响因子：
2.8
通讯作者：
P. Duck
中科院分区：
文献类型：
--
作者：
S. Dennis;P. Duck
使用两种独立的方法对由于在最初静止的流体中脉冲开始绕直径旋转的球体而产生的流动的发展进行了数值研究。第一个涉及计算完整非定常纳维-斯托克斯方程的解，而第二个涉及非定常边界层方程的积分。如前所述，后一种方法会导致有限时间后球体赤道区域的流动崩溃。这种效应通过流体中的涡量爆发反映在完整方程的解中，尽管在这种情况下，最终对于所考虑的有限雷诺数获得了稳态解。
The development of the flow due to a sphere which is impulsively started rotating about a diameter in a fluid initially at rest is studied numerically using two independent approaches. The first involves computing the solution of the full unsteady Navier-Stokes equations, while the second involves integration of the unsteady boundary-layer equations. As has been shown previously, the latter approach results in a breakdown of the flow in the equatorial region of the sphere after a finite time. This effect is reflected in the solution of the full equations by a burst of vorticity into the fluid, although in this case the steady-state solution is ultimately achieved for the finite Reynolds numbers considered.