Axial dispersion model for solid flow in liquid suspension in system of two mixers in total recycle

The measurement of residence time distribution of solid particles in solid–liquid suspension is experimentally difficult. However, the twin system approach is particularly suited for the assessment of particle RTD in flow systems as it allows overcoming some of the usual difficulties generally encountered in this kind of measurement. Twin system consists of two vessels and external piping in total recycle. Experimental results from this system can be evaluated using Z-transforms to derive particle RTD for subsequent testing of alternative flow models. Recently, the axial dispersion model was applied using the “advection diffusion equation” (sometimes called the “diffusion with bulk flow equation”) derived thereof, which was solved numerically. This contribution presents an analytical solution of analogous equations, which enables direct and precise evaluations of this problem.