The influence of the spatio-temporal structure of isotropic turbulence
on the dispersion fluid and particles with inertia is investigated. T
he spatial structure is represented by an extended von Karman energy s
pectrum model which includes an inertial sub-range and allows evaluati
on of the effect of the turbulence Reynolds number, Re(l)ambda. Disper
sion of fluid is analyzed using four different models for the Eulerian
temporal auto-correlation function D(tau). The fluid diffusivity, nor
malized by the integral length scale L(11) and the root-mean-square tu
rbulent velocity u(0), depends on Re-lambda. The parameter c(E) = T(0)
u(0)/L(11), in which T-0 is the Eulerian integral time scale, has comm
only been assumed to be constant. It is shown that c(E) strongly affec
ts the value of the fluid diffusivity. The dispersion of a particle wi
th finite inertia and finite settling velocity is analyzed for a large
range of particle inertia and settling velocity. Particle turbulence
intensity and diffusivity are influenced strongly by turbulence struct
ure.