A Navier-Stokes procedure has been developed to analyze the gas-solid two-phase flow through the candle-type ceramic filter unit. To obtain a quick but still realistic solution, the flow is assumed to be symmetric about a quarter filter. The porous filter is modeled by using the Darcy law while the standard k-ε turbulence model coupled with the wall function is adopted for the turbulence closure. The particles are treated by using the two-fluid model with Boussinesq's eddy viscosity model. After validating the code, calculations have been made for various particle sizes, number concentrations, and Reynolds numbers. The results, which include the velocity field, the particle volume fraction, the particle flux along the filter surface, and the pressure drop, for various cases are systematically presented in the thesis.