Nowadays many of industries use colorants to have variation in their product. Presence of dyes in waste effluents even at low concentration is unfavorable and may cause toxic effects. Therefore many researchers are interested in finding new and effective methods for removal of dye pollutants from industrial liquid waste streams. Fixed bed adsorption columns have been widely used for many years in industrial processes for removal of contaminants from e?uents. In this work the removal of dye pollutant from aqueous solution by using exfoliated graphite in a continuous system and its governing adsorption model was investigated. To reach the aim of the work, exfoliated graphite was synthesized by proper chemical and thermal treatment of flake graphite and then the adsorption isotherms of the dye Acid Blue 92 at aqueous solutions over wormlike exfoliated graphite were determined experimentally. The Langmuir and Radke–Prausnitz models gave the best results for the adsorption isotherms whereas it was unsatisfactory for Freundlich model. Also to complete the work, an exclusive series of tests were carried out in a ?xed bed column to determine the breakthrough curves. Hereafter breakthrough time, saturated time and adsorbed mass were analyzed for each experiment and the behavior of the system was simulated using a transient mathematical model. A linear mass transfer driving force and an axial dispersion model with nonlinear adsorption isotherm were applied in the developed model and the system of partial differential equation was solved numerically using MATLAB. The dynamic model permits the prediction of the dye concentration at the adsorption column outlet considering the in?uence of various operational parameters such as feed concentration, flow rate and adsorbent mass. The results of the mathematical model were in good agreement with the experimental data.