Department of Chemical Engineering, Xi'an Jiaotong University, Xi'an 710049, China.
J Hazard Mater. 2010 May 15;177(1-3):1006-12. doi: 10.1016/j.jhazmat.2010.01.019. Epub 2010 Jan 11.
The Bohart-Adams model and the so-called Thomas model are commonly used in the modeling of fixed bed breakthrough curves in environmental sorption and biosorption research. Some authors fit the two equations to the same set of experimental breakthrough data and compare their modeling capabilities, implying that the two expressions are separate and independent models. This article clarifies unambiguously and demonstrates conclusively that the two models are in reality mathematically equivalent to each other and their parameters interchangeable. The salient features of the Bohart-Adams model and the genuine Thomas model are outlined here and their relationship delineated. The main difference between the Bohart-Adams and actual Thomas models lies in the form of the sorption isotherm assumed. The former assumes a rectangular (irreversible) isotherm while the latter assumes a Langmuir (favorable) isotherm. It is shown that, when the sorption isotherm is highly favorable, the actual Thomas model reduces to the Bohart-Adams model.
Bohart-Adams 模型和所谓的 Thomas 模型常用于环境吸附和生物吸附研究中固定床穿透曲线的建模。一些作者将这两个方程拟合到同一组实验穿透数据，并比较它们的建模能力，这意味着这两个表达式是独立的、相互独立的模型。本文明确无误地阐明并确凿地证明，这两个模型在数学上实际上是相互等价的，它们的参数是可以互换的。本文概述了 Bohart-Adams 模型和真正的 Thomas 模型的显著特点，并阐述了它们之间的关系。Bohart-Adams 和实际 Thomas 模型之间的主要区别在于所假设的吸附等温线的形式。前者假设为矩形（不可逆）等温线，而后者假设为 Langmuir（有利）等温线。结果表明，当吸附等温线非常有利时，实际的 Thomas 模型简化为 Bohart-Adams 模型。
