title: Determination of the mass transfer limiting step of dye adsorption onto commercial adsorbent by using mathematical models.
abstract: Reactive blue 5G dye removal in a fixed-bed column packed with Dowex Optipore SD-2 adsorbent was modelled. Three mathematical models were tested in order to determine the limiting step of the mass transfer of the dye adsorption process onto the adsorbent. The mass transfer resistance was considered to be a criterion for the determination of the difference between models. The models contained information about the external, internal, or surface adsorption limiting step. In the model development procedure, two hypotheses were applied to describe the internal mass transfer resistance. First, the mass transfer coefficient constant was considered. Second, the mass transfer coefficient was considered as a function of the dye concentration in the adsorbent. The experimental breakthrough curves were obtained for different particle diameters of the adsorbent, flow rates, and feed dye concentrations in order to evaluate the predictive power of the models. The values of the mass transfer parameters of the mathematical models were estimated by using the downhill simplex optimization method. The results showed that the model that considered internal resistance with a variable mass transfer coefficient was more flexible than the other ones and this model described the dynamics of the adsorption process of the dye in the fixed-bed column better. Hence, this model can be used for optimization and column design purposes for the investigated systems and similar ones.
authors.forename: Pricila
authors.initials: P
authors.lastname: Marin
authors.forename: Carlos Eduardo
authors.initials: CE
authors.lastname: Borba
authors.forename: Aparecido Nivaldo
authors.initials: AN
authors.lastname: Módenes
authors.forename: Fernando R
authors.initials: FR
authors.lastname: Espinoza-Quiñones
authors.forename: Silvia Priscila Dias
authors.initials: SP
authors.lastname: de Oliveira
authors.forename: Alexander Dimitrov
authors.initials: AD
authors.lastname: Kroumov
mesh_terms: D000327:Adsorption; D004396:Coloring Agents / Q000737:chemistry* / Q000302:isolation & purification / Q000378:metabolism; D007220:Industrial Waste; D008962:Models, Theoretical; D014873:Water Pollutants / Q000737:chemistry* / Q000302:isolation & purification / Q000378:metabolism; D018508:Water Purification / Q000379:methods*
chemical_list: D004396:Coloring Agents; D007220:Industrial Waste; D014873:Water Pollutants