Mathematical Model for Sequential Pickup of Chemical Contaminants by Magnetic Particles

AbstractTwo conceivable types of mathematical model, i.e., exponential or hyperbolic, that describe the sequential pickup of a contaminant from a substrate upon successive treatment with magnetic particles have been developed and tested. The models were applied to sets of experimental data spanning extremes of system behavior. Allowance was made within each model to account for departure from ideality. The nonideal hyperbolic model was identified as being the one that can be better applied to the experimental data. The successful application of this model to a given data set enables a pickup efficiency that is based on all of the available experimental data to be accurately determined. Thus, it was found that the pickup efficiency is highly correlated with one of the fitting parameters introduced to account for nonidealized behavior. The ability to accurately assess removal efficiency in the sequential pickup of chemical contaminants by magnetic particles is essential for the optimization of this technolo...