Modification of breakthrough models in a continuous-flow fixed-bed column: Mathematical characteristics of breakthrough curves and rate profiles

By Qili Hu, Yanhua Xie, Zhenya Zhang. 2020

74 citations recorded by the source corpus.

Abstract In order to more completely describe mathematical characteristics of the breakthrough curve, this work defines the four parameters: Maximum specific breakthrough rate μmax, lag time λ, inflection point ti and half-operating time t50. The breakthrough models include the Bohart–Adams, Thomas, Yoon–Nelson, Clark, Wolborska and dose-response models. Attempts are made to address mathematical relationships between the breakthrough models, propose modified breakthrough models, investigate effects of model parameters on the breakthrough curve and rate profile and reveal their physical meanings. The fitting performance of the breakthrough models is verified by the adsorption of nitrate on the chitosan-Fe(III) composite. The results indicate that the model terms q0m/vc0 and a0x/uc0 are the operating time required to reach 50% breakthrough. The Clark model has the best fitting performance with high adjusted determination factor (Adj. R2 = 0.9976) and low reduced chi-squared value (χ2 = 2.70 × 10−4). In addition, an inconsistency concerning application of the Wolborska model is proposed to avoid this situation where it is repeated in subsequent publications. This work is expected to help readers better understand the breakthrough models and select the appropriate model to analyze the dynamic behaviors in a continuous-flow fixed-bed column.

Subfields: Biomedical Engineering, Pollution, Water Science and Technology

View Paper: https://www.semanticscholar.org/paper/9b09694cbc2c2b973914843b72f7c8da5bcf0612

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Biomedical Engineering

1. Shuyue Pang
2. Dan Wang
3. Qili Hu

In Pollution

1. Shuyue Pang
2. Dan Wang
3. Qili Hu

In Water Science and Technology

1. Shuyue Pang
2. Dan Wang
3. Qili Hu

Citations in the corpus

• In-depth Insights into Mathematical Characteristics, Selection Criteria and Common Mistakes of Adsorption Kinetic Models: A Critical Review (2021, methodology): “The adsorption method is preferred by many researchers due to its low cost, high selectivity, easy regeneration, fast kinetics, insensitivity to toxic substances and complete removal of pollutants even from the dilute solution.([4,5]) It is an indispensable unit operation in industrial applications ”