Two important aspects of fluid-particulate interaction in dilute gas-particle turbulent flows, namely the turbulent particle dispersion and the turbulence modulation effects, are addressed using the Eulerian and Lagrangian modeling approaches to describe the paniculate phase. Gradient diffusion approximations are employed in the Eulerian formulation while a stochastic procedure is utilized to simulate turbulent dispersion in the Lagrangian formulation. The k-ϵ, turbulence model is used to characterize the time and length scales of the continuous phase turbulence. Models proposed for both schemes are used to predict turbulent, fully-developed gas-solid vertical pipe flow with reasonable prediction accuracy.