Steady-state two-dimensional flow of food containing a liquid and particle mixture in a vertical pipe was simulated using the Lagrangian approach. The Fluent 5.4 computational fluid dynamic program was modified for liquid-particle food flow with the aid of user-defined subroutines and used in this simulation. The particle velocity profile and particle residence time were calculated at the outlet of the vertical pipe. The calculated results were compared with the experimental data of Lareo et al. (Powder Technol. 1997, 93, 23). Good agreement between calculation and experimental data indicates that numerical modeling has a good potential to predict the particle residence time and particle velocity profile, and, in turn, results in the potential reduction of costly experimentation in the food industry.