On the Spectrum and Decay of Random Two-Dimensional Vorticity Distributions at Large Reynolds Number
作者： P. G. Saffman
关键词: Vorticity 、 Length scale 、 Reynolds decomposition 、 Turbulence 、 Vortex 、 Field (physics) 、 Reynolds number 、 Magnetic Reynolds number 、 Physics 、 Mathematical analysis
摘要: The hypothesis is made that the vorticity distribution in a field of random two-dimensional (two-dimensional turbulence) develops discontinuities. energy spectrum then calculated and shown to behave like k^(−4) for large values wave-number k. rates decay mean square velocity are estimated. An expression growth length scale obtained it noted size turbulent trailing vortices apparently well fitted by formula.
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sci-hub.se 参考文章(5)
P. G. Saffman, Note on Decay of Homogeneous Turbulence Physics of Fluids. ,vol. 10, pp. 1349- 1349 ,(1967) , 10.1063/1.1762284
Paul R. Julian, Warren M. Washington, Louis Hembree, Cicely Ridley, On the Spectral Distribution of Large-Scale Atmospheric Kinetic Energy Journal of the Atmospheric Sciences. ,vol. 27, pp. 376- 387 ,(1970) , 10.1175/1520-0469(1970)027<0376:OTSDOL>2.0.CO;2
Iwao Hosokawa, Numerical Study of the Burgers' Model of Turbulence Based on the Characteristic Functional Formalism Physics of Fluids. ,vol. 13, pp. 1683- 1692 ,(1970) , 10.1063/1.1693141
D. K. Lilly, Numerical simulation of developing and decaying two-dimensional turbulence Journal of Fluid Mechanics. ,vol. 45, pp. 395- 415 ,(1971) , 10.1017/S0022112071000107
P. R. Owen, The Decay of a Turbulent Trailing Vortex The Aeronautical Quarterly. ,vol. 21, pp. 69- 78 ,(1970) , 10.1017/S0001925900005230