A proposal concerning laminar wakes behind bluff bodies at large Reynolds number
A proposal concerning laminar wakes behind bluff bodies at large Reynolds number
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关于大雷诺数钝体后面层流尾流的提案
DOI：
10.1017/s0022112056000238
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发表时间：
1956
影响因子：
3.7
通讯作者：
G. Batchelor
中科院分区：
文献类型：
--
作者：
G. Batchelor
本文提出了一种不同于Helmholtz和Kirchhoff的经典自由流线模型的大雷诺数钝体定常流动模型。结果表明，虽然自由流线模型可能是μ=0时N-S方程的一个适当解，但它不太可能是描述定常流动的极限，就像μ→0一样，因为在均匀流中存在钝体。这里提出的极限解是一个闭合尾迹的解。闭合尾迹包含一个或多个驻涡，其一般特征可以从早先对大雷诺数下封闭区域内定常流动的研究结果中推断出来。在所有情况下，当雷诺数趋于无穷大时，物体上的阻力(系数)趋于零。描述了寻找二维和轴对称物体后面的闭合尾迹细节的过程，尽管还没有得出具体的情况。
This note advocates a model of the steady flow about a bluff body at large Reynolds number which is different from the classical free-streamline model of Helmholtz and Kirchhoff. It is suggested that, although the free-streamline model may be a proper solution of the Navier-Stokes equation with μ = 0, it is unlikely to be the limit, as μ → 0, of the solution describing the steady flow due to the presence of a bluff body in an otherwise uniform stream. The limit solution proposed here is one which gives a closed wake. A closed wake contains a standing eddy, or eddies, whose general features can be inferred from the results of an earlier investigation of steady flow in a closed region at large Reynolds number. In all cases, the drag (coefficient) on the body tends to zero as the Reynolds number tends to infinity. The proccedure for finding the details of the closed wake behind two-dimensional and axisymmetrical bodies is described, although no particular case has yet been worked out.