ON THE DISPERSION OF FLUID PARTICLES.

被引:0
作者
Jiang, Dahe [1 ]
机构
[1] City Coll, Dep of Mechanical, Engineering, New York, NY, USA, City Coll, Dep of Mechanical Engineering, New York, NY, USA
关键词
FLUIDS; -; Diffusion; PROBABILITY;
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摘要
The dispersion of fluid particles in a turbulent flow is described by transition-probability density functions. A renormalized expansion is made to establish the evolution equations of these functions. The resulting equations are nonlinear integrodifferential equations written in terms of Eulerian velocity-correlation functions. For the dispersion of a single particle, the equation at the zeroth order is the same as the one obtained by Roberts. For the relative dispersion of a pair of particles, the equation is more convenient for applications than those of other theories. With this equation, Richardson's 4/3-power law for relative diffusion is recovered analytically based upon the Kolmogoroff spectrum and numerically based upon the von Karman spectrum and a smoothed experimental spectrum. Refs.
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页码:309 / 326
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