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中国沙漠 ›› 1993, Vol. 13 ›› Issue (1): 11-20.

• 论文 • 上一篇    下一篇

风沙湍流的间隙性、稳定性分布及分形特征

李后强, 艾南山   

  1. 四川大学物理系, 成都
  • 出版日期:1993-03-20 发布日期:1993-03-20

The Intermitteny, Stable Distribution and Fractal Characteristic for the Wind—Sand Turbucent Flow

Li Houqiang, Ai Nanshan   

  1. Department of Physics, Sichuan University, Chengdu
  • Online:1993-03-20 Published:1993-03-20

摘要: 根据风沙湍流本身的不均匀性、间隙性,用稳定性分布研究了含沙量M随高度h的变化得M(h)∝h-D,求得分维D=2.36(h>10cm),D=1.465(h<10cm),速度分布W(|u|)=a2|u|(-D)/(2-1)。沙粒扩散<|x(t)|>∝t2/D;结合Kdv-Burgers方程的行波解,得风沙流的标度律(υ/β)ξ+Dlnh=A,揭示了耗散性υ、弥散性β、风速ξ和高度h之间的一种本质联系。被空气湍流吹动的沙粒起始半径re=(c'/(5-D)ρ)[(β/υ)In(E1/E2)](5-D)/3,起动风速V1=V2exp[(υ/2β)γc3ρ3(2.65/c')3],最后讨论了风沙流的多重分形特征。

关键词: 风沙, 湍流, 稳定分布, 分形, 标度律

Abstract: Based on the heterogeneity and intermittency of wind- sand turbulent flow. the relationships be tween the sand percent and the height are studied, and the formula M(h)∝h-D is derived by the stable distribution theory, obtaining the fracbol dimensions D=2.36(h>10cm),D=1.465(h<10cm) as well as the velocity distribution W(|u|)=a2|u|(-D)/(2-1) the sand particle diffusiom<|x(t)|>∝t2/D. According to the tra- veiling solutions of the Kdv-Burgers equation, the scaling law for wind-sand flow (υ/β)ξ+Dlnh=A is found. and it reveals the inherent relations among the dissipation υ, dispersion β, wind velocity ζ and height h. The starting radius of sand particle drived by wind turbulence is given by re=(c'/(5-D)ρ)[(β/υ)In(E1/E2)](5-D)/3 and the starting wind velocity V1=V2exp[(υ/2β)γc3ρ3(2.65/c')3] Finally, the multifractal charateristies of the wind-sand flow are discussed.