Next Article in Journal
Entropy Generation and Exergy Destruction in Flow of Multiphase Dispersions of Droplets and Particles in a Polymeric Liquid
Next Article in Special Issue
Time-Dependent Shear Stress Distributions during Extended Flow Perfusion Culture of Bone Tissue Engineered Constructs
Previous Article in Journal
Turbulence: Numerical Analysis, Modeling, and Simulation
Previous Article in Special Issue
Coherent Vortical Structures and Their Relation to Hot/Cold Spots in a Thermal Turbulent Channel Flow
Article Menu

Export Article

Open AccessArticle
Fluids 2018, 3(1), 18; https://doi.org/10.3390/fluids3010018

On the Bias in the Danckwerts’ Plot Method for the Determination of the Gas–Liquid Mass-Transfer Coefficient and Interfacial Area

1
Laboratory of Chemical Reactor Engineering, Department of Chemical Engineering & Chemistry, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands
2
AkzoNobel Chemicals B.V., RD&I, Expert Capability Group-Process Technology, Zutphenseweg 10, 7418 AJ Deventer, The Netherlands
*
Author to whom correspondence should be addressed.
Received: 14 December 2017 / Revised: 23 January 2018 / Accepted: 11 February 2018 / Published: 20 February 2018
(This article belongs to the Special Issue Flow and Heat or Mass Transfer in the Chemical Process Industry)
View Full-Text   |   Download PDF [2109 KB, uploaded 24 February 2018]   |  

Abstract

The Danckwerts’ plot method is a commonly used graphical technique to independently determine the interfacial area and mass-transfer coefficient in gas–liquid contactors. The method was derived in 1963 when computational capabilities were limited and intensified process equipment did not exist. A numerical analysis of the underlying assumptions of the method in this paper has shown a bias in the technique, especially for situations where mass-transfer rates are intensified, or where there is limited liquid holdup in the bulk compared to the film layers. In fact, systematic errors of up to 50% in the interfacial area, and as high as 90% in the mass-transfer coefficients, can be expected for modern, intensified gas–liquid contactors, even within the commonly accepted validity limits of a pseudo-first-order reaction and Hatta numbers in the range of 0.3 < Ha < 3. Given the current computational capabilities and the intensified mass-transfer rates in modern gas–liquid contactors, it is therefore imperative that the equations for reaction and diffusion in the liquid films are numerically solved and subsequently used to fit the interfacial area and mass-transfer coefficient to experimental data, which would traditionally be used in the graphical Danckwerts’ method. View Full-Text
Keywords: gas–liquid mass transfer; Danckwerts’ plot method; numerical simulation; mass-transfer coefficient; interfacial area gas–liquid mass transfer; Danckwerts’ plot method; numerical simulation; mass-transfer coefficient; interfacial area
Figures

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

Share & Cite This Article

MDPI and ACS Style

Cortes Garcia, G.E.; van Eeten, K.M.P.; de Beer, M.M.; Schouten, J.C.; van der Schaaf, J. On the Bias in the Danckwerts’ Plot Method for the Determination of the Gas–Liquid Mass-Transfer Coefficient and Interfacial Area. Fluids 2018, 3, 18.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Fluids EISSN 2311-5521 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top