On the Spectrum and Decay of Random Two-Dimensional Vorticity Distributions at Large Reynolds Number
On the Spectrum and Decay of Random Two-Dimensional Vorticity Distributions at Large Reynolds Number
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大雷诺数下随机二维涡度分布的谱与衰减
DOI：
10.1002/sapm1971504377
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发表时间：
1971
影响因子：
2.7
通讯作者：
P. Saffman
中科院分区：
文献类型：
--
作者：
P. Saffman
假设在随机二维涡量（二维湍流）场中涡量分布发展为不连续。然后计算能谱，并表明当波数k较大时，能谱表现为k^（−4）。估计了均方涡度和速度的衰减率。得到了长度尺度增长的表达式，并指出，该公式与湍流尾涡的尺度很好地吻合。
The hypothesis is made that the vorticity distribution in a field of random two-dimensional vorticity (two-dimensional turbulence) develops discontinuities. The energy spectrum is then calculated and shown to behave like k^(−4) for large values of the wave-number k. The rates of decay of mean square vorticity and velocity are estimated. An expression for the growth of length scale is obtained and it is noted that the size of turbulent trailing vortices is apparently well fitted by the formula.