2008/08/20 by S. F. Edwards, Edwards, S. F., Moshe Schwartz +1
Engineering · Physics and Astronomy · #Cyclone Separators and Fluid Dynamics #FOS: Physical sciences #Fluid Dynamics and Mixing #Particle Dynamics in Fluid Flows #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.0808.2778
arxiv created 2008/08/20 · openalex publication_date 2008/08/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In a recent paper the mean square displacement (MSD), <R2(T)>, of a particle carried by a turbulent liquid over time T has been shown to be proportional to T6/5, meaning that the motion of the particle is slightly super-diffusive. In some cases, though, it might be important to have more information than that provided by that law. An example would be the distribution of pollutants as a function of time by turbulent flow. Here small amounts of material reaching relatively large distances are of importance. This motivates our interest in the full distribution of the location of particles swept by the fluid as a function of time. The distribution depends on the distance through the dimensionless quantity X2=R2/<R2(T)> . We find that for small X, the distribution P(R,T) is proportional to exp(-aX2) but at its tail when X is large it behaves as exp(-bX2/3) . pacs numbers-02.50.Ey, 05.40.Fb