Simulations of fixed beds having column to particle diameter ratio (D/d_p) of 3, 5 and 10 were performed in the creeping, transition and turbulent flow regimes, where Reynolds number (d_pV_Lρ_L/μ_L) was varied from 0.1 to 10,000. The deviations from Ergun’s equation due to the wall effects, which are important in D/d_p < 15 beds were well explained by the CFD simulations. Thus, an increase in the pressure drop was observed due to the wall friction in the creeping flow, whereas, in turbulent regime a decrease in the pressure drop was observed due to the channeling near the wall. It was observed that, with an increase in the D/d_p ratio, the effect of wall on drag coefficient decreases and drag coefficient nearly approaches to Ergun’s equation. The predicted drag coefficient values were in agreement with the experimental results reported in the literature, in creeping flow regime, whereas in turbulent flow the difference was within 10-15%.