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A discussion on linear and non-linear forms of Thomas equation for fixed-bed adsorption column modeling

Martín Esteban González‐López, Universidad de Guadalajara, César Mario Laureano-Anzaldo, Aida Alejandra Pérez‐Fonseca, M. Arellano, Jorge Ramón Robledo‐Ortíz

2021Revista Mexicana de Ingeniería Química27 citationsDOIOpen Access PDF

Abstract

The Thomas model is the most common equation to describe the dynamics of fixed-bed adsorption columns. However, its parameters’ validity strongly depends on the region of the breakthrough curve considered for the data fitting. A rigorous analysis based on different error functions was carried out to determine the accuracy of both linear and non-linear forms of the model. The non-linear equation proved to be more robust and less susceptible to experimental error, with less than 0.5% of deviation in qTh calculation. A complete statistical analysis should be carried out to determine the fitting region if linear regression is preferred.

Topics & Concepts

Linear regressionMathematicsColumn (typography)Linear modelApplied mathematicsLinear equationStatisticsMathematical analysisGeometryConnection (principal bundle)Heat and Mass Transfer in Porous MediaSoil and Unsaturated FlowCarbon Dioxide Capture Technologies