Abstract
This paper dwells into the diffusional transport of water inside a pelleted zeolites wherein the transport behavior in binder phase as well as in the zeolite phase is explored. It is noted that both the phases contributes towards the separation process. A new variant of bi-disperse diffusion model is proposed for the water transport inside the adsorbent pellets. The equilibrium uptake of water is separately encountered in the binder and zeolite phases using a dual site Henry-Langmuir isotherm and a thermodynamically consistent correlation is developed for the boundary layer concentration of the zeolite phase with respect to the concentration within the binder phase. Adsorption kinetics measurements are reported for various adsorbent sizes and process temperatures, and their influence on transport diffusivity is explored. The proposed model prediction is in good agreement with the experimental observation in which the pellet diffusion controls the overall transport behaviour.
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Abbreviations
- Cb :
-
Water concentration in the bulk liquid phase, mol/m3
- Cp :
-
Concentration of water in the binder phase, mol H2O/m3 binder or g H2O/g binder
- Cμ :
-
Concentration of water in the zeolite phase, mol H2O/m3 zeolite or g H2O/g zeolite
- Dp :
-
Water diffusivity in binder phase, m2/s
- Dμ :
-
Water diffusivity in zeolite phase, m2/s
- Deff :
-
Effective diffusivity of water in entire solid if a unipore model is used, m2/s
- Dmolecular :
-
Molecular diffusivity of water into ethanol solution, m2/s
- D0 :
-
Diffusivity at zero coverage m2/s
- Dpore :
-
Pore diffusivity of the binder phase
- Ea :
-
Activation energy for water diffusion kJ/mol
- EH :
-
Heat of adsorption in binder phase, kJ/mol
- EL :
-
Heat of adsorption in zeolite phase, kJ/mol
- KH :
-
Solid liquid equilibrium constant in binder phase, m3/mol
- KL :
-
Solid liquid equilibrium constant in zeolite phase, m3/mol
- mp :
-
Mass of total adsorbent, g
- MB :
-
Molar mass of solvent
- qads :
-
Total adsorbed amount in the solid phase g H2O/g sample
- qmax :
-
Monolayer concentration of water in the zeolite phase, mol H2O/m3 solid or g H2O/g solid
- Rp :
-
Radius of the spherical pellet, m
- Rμ :
-
Radius of the zeolite microparticle, m
- Rg :
-
Universal gas constant
- r:
-
Radius at any point in the pellet, m
- rμ :
-
Radius at any point in the microparticle, m
- Sμ :
-
Surface area of the zeolite microparticle, m2
- T:
-
Temperature, K
- Vμ :
-
Volume of the zeolite microparticle, m3
- Vb :
-
Volume of liquid in the vessel, m3
- \({\mathcal{V}}\) A :
-
Molar volume of solute at boiling point, m3/mol
- εp :
-
Binder phase fraction, unitless or m3 binder/m3 solid sphere
- εμ :
-
Micro particle or zeolite phase fraction, unitless or m3 microparticle/m3 solid sample
- ϕ:
-
Dimensionless factor, typically 1.5 for ethanol
- ρp :
-
Density of adsorbent, g/m3, 1.2 × 106 g/m3
- ηB :
-
Viscosity of solvent, cP
- τp :
-
Tortuosity in binder phase, unit less
- σcc :
-
Lennard-Jones fluid–fluid collision distance, nm
- θ:
-
Fractional coverage of the solid, moles adsorbed/maximum moles that can be adsorbed
- ϵp :
-
Binder phase porosity, unit less or pore volume/total volume
- \(\wp = {\mathcal{V}}\sigma^{1/4}\) :
-
Parachor term in Tyn and Calus model
- Σ:
-
Surface tension g/s2
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Acknowledgements
P.S is thankful to Mr Arun Nair, Manager Zeolite and Allied products India, for supplying the samples and useful discussions on phone.
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Shukla, P., Dong, K., Rudolph, V. et al. Adsorptive dehydration of ethanol using 3A zeolite: an evaluation of transport behaviour in a two-phase zeolite pellet. Adsorption 25, 1611–1623 (2019). https://doi.org/10.1007/s10450-019-00145-y
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DOI: https://doi.org/10.1007/s10450-019-00145-y