1208.5786 (Bhimsen Shivamoggi)
Bhimsen Shivamoggi
In this paper, the Brownian motion theory has been applied to the turbulent relative particle dispersion problem. The fluctuating pressure forces acting on a fluid particle are taken to follow an Uhlenbeck-Ornstein process and their correlation time appears to be very plausibly identifiable to go inversely proportional to the flow Reynolds number R_e. This connection leads to the result that the Richardson-Obukhov scaling holds only in the infinite R_e limit and disappears otherwise. Further, the Lin-Reid conjecture regarding the connection between the pressure force fluctuation parameter and the energy dissipation rate in turbulence is confirmed and a R_e-dependent explicit relation between the two is determined.
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http://arxiv.org/abs/1208.5786
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