Exponential decay analysis: a flexible, robust, data-driven methodology for analyzing sorption kinetic data
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ORIGINAL RESEARCH
Exponential decay analysis: a flexible, robust, data-driven methodology for analyzing sorption kinetic data Samuel V. Glass
. Samuel L. Zelinka
. Emil Engelund Thybring
Received: 23 April 2020 / Accepted: 22 October 2020 Ó Springer Nature B.V. 2020
Abstract The performance of cellulosic materials is intimately linked to their moisture content. Over the last century, many studies have been devoted to examining the moisture uptake in equilibrium with surrounding environmental conditions. However, with the adoption of automated sorption balances in laboratories worldwide, it has become increasingly popular to study the approach to equilibrium, i.e., sorption kinetics. Recording the moisture content change between two equilibrium states produces a wealth of data, which necessitates a robust methodology for analysis. In this study, we employ exponential decay analysis on sorption kinetic data obtained in a previous study for loblolly pine, holocellulose, office paper and microcrystalline cellulose. Unlike other methods that are constrained by a fixed number of fitting parameters or similar constraints, exponential decay analysis is a flexible, data-driven methodology
Electronic supplementary material The online version of this article (https://doi.org/10.1007/s10570-020-03552-5) contains supplementary material, which is available to authorized users. S. V. Glass S. L. Zelinka Building and Fire Sciences, US Forest Service Forest Products Laboratory, Madison, WI, USA E. E. Thybring (&) Department of Geosciences and Natural Resource Management, University of Copenhagen, Frederiksberg, Denmark e-mail: [email protected]
for analyzing sorption kinetics. No physical meaning is assigned to the output from the analysis. However, the methodology yields robust results in relation to various measurement uncertainties. As a result, exponential decay analysis can provide a reliable description of the dominant time scales of sorption kinetics. Hereby, the methodology offers a new way to evaluate the suitability of theoretical models for describing sorption kinetics. Keywords Sorption kinetics Analysis methods Moisture Wood Cellulose
Introduction Water vapor sorption in cellulosic materials has been studied for over a century because of the marked effect water has on the physical properties of these materials (Barkas 1932; Glass et al. 2014; Pidgeon and Maass 1930; Sheppard and Newsome 1929, 1930; Thybring et al. 2018; Tiemann 1906; Urquhart 1929; Urquhart and Williams 1924; Volbehr 1896). Most of the studies in this area have focused on the moisture content of the material in equilibrium with constant climatic conditions in terms of temperature and relative humidity (RH), the so called, ‘‘sorption isotherm’’. With automated sorption balances (often referred to as ‘‘Dynamic Vapor Sorption’’ instruments
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or ‘‘DVS’’) becoming ever more commonplace in laboratories worldwide, detailed information on the moisture uptake in materials is now readil
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