Dynamic column breakthrough experiments for measurement of adsorption equilibrium and kinetics
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Dynamic column breakthrough experiments for measurement of adsorption equilibrium and kinetics Nicholas Stiles Wilkins1 · Arvind Rajendran1 · Shamsuzzaman Farooq2 Received: 4 June 2020 / Revised: 2 September 2020 / Accepted: 15 September 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract This paper provides a set of comprehensive guidelines for the use of dynamic column breakthrough experiments to measure single and multi-component equilibria and kinetics. Recommendations are made for the design of the experimental rig, experimental procedures, and data processing methods to minimize errors and increase data reliability. Designing experiments to identify the transport mechanism, and quantitatively interpreting the breakthrough responses via modeling and optimization are also enumerated. Results reported in relevant published literature are also used to illustrate the ideas and concepts. Keywords Dynamic column breakthrough · Equilibrium · Kinetics · Experimental protocol · Data presentation and analysis List of symbols Roman symbols A Cross-sectional area (m2) c Fluid concentration (mol/m3) Cp Heat capacity (J/mol/K) d Diameter (m) D Diffusivity (m2/s) E Error (–) h Convective heat transfer coefficient (W/m2/K) ΔH Heat of adsorption (J/mol) k LDF coefficient (s−1) K Henry’s constant (–) or thermal conductivity (W/m/K) L Length (m) M Molecular mass (g/mol) n Number
Electronic supplementary material The online version of this article (https://doi.org/10.1007/s10450-020-00269-6) contains supplementary material, which is available to authorized users. * Shamsuzzaman Farooq [email protected] 1
Department of Chemical and Materials Engineering, Donadeo Innovation Centre of Engineering, University of Alberta, 9211‑116 Street NW, Edmonton, AB T6G 1H9, Canada
Department of Chemical & Biomolecular Engineering, National University of Singapore, 4 Engineering Drive 4, Singapore 117585, Singapore
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Nu Nusselt number (–) P Total pressure (Pa) Pe Peclet number (–) q Solid-phase loading (mol/m3) q* Solid-phase equilibrium loading (mol/m3) Q Standard flow (SLPM) r Radius or micropore position (m) R Macropore position (m) Re Reynolds number (–) Rg Universal gas constant (Pa m3/mol/K) Sc Schmidt number (–) Sh Sherwood number (–) t Time (s) ̄t Mean residence time (s) T Temperature (K) v Interstitial velocity (m/s) y Mole fraction (–) z Axial position (m) Greek symbols (1−𝜀 )K 𝛼 Velocity distribution or 𝜀 p c in Fig. 11
𝛽 Defined by Eq. 21 𝜀 Void fraction Dc L 𝛾 r2 v
p
c in
Ω Collision integral 𝜇 Pore or viscosity 𝜎 Collision diameter 𝜌 Density 𝜏 Tortuosity
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Vol.:(0123456789)
Adsorption
Abbreviations, subscripts, and superscripts a Adsorbate ads Adsorption avg Average b Barrier or blank response c Column, crystal or micropore co Outer column comp Components corr Corrected response ci Inner column des Desorption K + s Effective parallel Knudsen and surface contribution exp Experimental i Index or component initial Initia
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