Abstract
This modeling work deals with the adsorption of water vapor on different porous materials where it undergoes capillary condensation and its adsorption/desorption isotherms exhibit hysteresis. The focus is on the description of the so called scanning curves, i.e. the adsorption/desorption isotherms observed when such an adsorbent is repeatedly loaded and unloaded in a range of conditions where hysteresis is observed, and on the simulation of fixed bed adsorption/desorption cycles. We use an approach originally developed by Štěpánek et al. (Chem Eng Sci 55(2):431–440, 2000), and expand it so as to include more general isotherms (not only the Dubinin–Radushkevich and Dubinin–Astakhov model, but also the Guggenheim–Anderson–de Boer model and the Do and Do model) and to allow for less than infinitely fast heat transfer, so as to consider non-isothermal situations. From a modeling point of view the results are satisfactory and highlight the need for better experimental data on water vapor adsorption, which need to be measured in enhanced experimental set-ups, capable to tightly control the relative humidity of the gas phase.
Similar content being viewed by others
References
Anderson, B.: Modifications of the Brunauer, Emmett and Teller equation. J. Am. Chem. Soc. 68(7), 686–691 (1946)
Casas, N., Schell, J., Pini, R., Mazzotti, M.: Fixed bed adsorption of CO2/H2 mixtures on activated carbon: experiments and modeling. Adsorption 18(2), 143–161 (2012)
Do, D.D., Do, H.D.: A model for water adsorption in activated carbon. Carbon 38, 767–773 (2000)
Horikawa, T., Do, D.D., Nicholson, D.: Capillary condensation of adsorbates in porous materials. Adv. Colloid Interface Sci. 169(1), 40–58 (2011)
Leppäjärvi, T., Malinen, I., Kangas, J., Tanskanen, J.: Utilization of Pisat temperature-dependency in modelling adsorption on zeolites. Chem. Eng. Sci. 69, 503–513 (2012)
Leppäjärvi, T., Kangas, J., Malinen, I., Tanskanen, J.: Mixture adsorption on zeolites applying the temperature-dependency approach. Chem. Eng. Sci. 89, 89–101 (2013)
Mason, G.: A model of adsorption–desorption hysteresis in which hysteresis is primarily developed by the interconnections in a network of pores. Proc. R. Soc. A 390(1798), 47–72 (1983)
Mason, G.: Determination of the pore-size distributions and of Vycor porous glass from adsorption-desorption hysteresis capillary condensation isotherms. Proc. R. Soc. A 415(1849), 453–486 (1988)
Mualem, Y.: Modified approach to capillary hysteresis based on a similarity hypothesis. Water Resour. Res. 9(5), 1324–1331 (1973)
Mualem, Y., Beriozkin, a.: General scaling rules of the hysteretic water retention function based on Mualems domain theory. Eur. J. Soil Sci. 60(4), 652–661 (2009)
Philip, J.R.: Similarity hypothesis for capillary hysteresis in porous materials. J. Geophys. Res. 69(8), 1553–1562 (1964)
Rajniak, P., Yang, R.T.: A simple model and experiments for adsorption-desorption hysteresis: water vapor on silica gel. AIChE J. 39(5), 774–786 (1993)
Rajniak, P., Yang, R.T.: Hysteresis-dependent adsorption–desorption cycles: generalization for isothermal conditions. AIChE J. 40(6), 913–924 (1994)
Rajniak, P., Yang, R.T.: Unified network model for diffusion of condensable vapors in porous media. AIChE J. 42(2), 319–331 (1996)
Tompsett, Ga., Krogh, L., Griffin, D.W., Conner, W.C.: Hysteresis and scanning behavior of mesoporous molecular sieves. Langmuir 21(18), 8214–25 (2005)
Štěpánek, F., Kubíček, M., Marek, M., Šoóš, M., Rajniak, P., Yang, R.T.: On the modeling of PSA cycles with hysteresis-dependent isotherms. Chem. Eng. Sci. 55(2), 431–440 (2000)
Acknowledgments
Support of the Swiss National Science Foundation through grant NF 200021-130186 is gratefully acknowledged.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Hefti, M., Mazzotti, M. Modeling water vapor adsorption/desorption cycles. Adsorption 20, 359–371 (2014). https://doi.org/10.1007/s10450-013-9573-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10450-013-9573-9