Filtered two-fluid models for fluidized gas-particle suspensions

I&EC 53

Yesim Igci and Sankaran Sundaresan, sundar@princeton.edu. Department of Chemical Engineering, Princeton University, A315 Engineering Quadrangle, Princeton, NJ 08544
Gas-particle flows exhibit large fluctuations in velocities and local suspension density. In riser flows, these fluctuations are associated with the random motion of the individual particles and with the chaotic motion of particle clusters, which are repeatedly formed and broken apart. These clusters occur over a wide range of length scales and their dynamics span a broad range of time scales. This broad range of scales has made it difficult to construct efficient flow models required for practical analysis of flows in large fluidized beds and risers. In this paper, we construct filtered hydrodynamic models for such systems and determine the associated constitutive models by filtering results obtained from highly resolved simulations of fluidized suspensions in a periodic domain. We also demonstrate that the filtering process does indeed erase the small scale structures and allow grid size-independent solutions at much lower grid resolutions than the underlying kinetic theory based model.