Thursday, August 30, 2012

1208.5786 (Bhimsen Shivamoggi)

Turbulent Relative Particle Dispersion: Brownian Motion Theory    [PDF]

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.
View original:

No comments:

Post a Comment