Kinetics of Fixed Bed Sorption Processes
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Abstract
Adsorption and ion exchange are examples of fixed-bed sorption processes that show transient behavior. This means that differential equations are needed to design them. As a result, numerical methods are commonly utilized to solve these equations. The solution frequently used in analytical methods is called the Thomas solution. Thomas gave a complete solution that adds a nonlinear equilibrium relationship that depends on second-order reaction kinetics. A computational approach was devised to solve the Thomas model. The Thomas model's validity was established by conducting three distinct sets of experiments. The first entails the adsorption of acetic acid from the air through the utilization of activated carbon. Following this, zeolite-5A adsorbs trichloroethylene (TCE) from the air. Finally, activated carbon is employed for the purpose of adsorbing o-cresol from aqueous solutions. A study was done to estimate phase equilibria and interphase mass transfer rates. To find the kinetic mass-transfer coefficient (K) for gases, the phase coefficients for mass transfer in the fluid phase ( ) and the pore phase ( ) were added together. The estimation of (K) for liquid was performed using the mass transfer coefficient for the solid phase and togather. The results suggest that the adsorption of acetic acid from air on activated carbon gives a good agreement with the Thomas model. The other sets of data demonstrate a disparity due to the underlying assumptions inherent in the Thomas model.
Article received: 01/03/2004
Article accepted: 30 /08/2004
Article published: 01/09/2023
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Amiri, M.J., Khozaei, M., and Gil, A., 2019. Modification of the Thomas model for predicting unsymmetrical breakthrough curves using an adaptive neural-based fuzzy inference system, J Water Health, 17 (1), pp. 25–36. Doi:10.2166/wh.2019.210.
Carman, P.C., and Haul, R.A.W., 1954. Measurement of diffusion coefficients, Proceedings of the Royal Society, 222, pp. 109-117. Doi:10.1098/rspa.1954.0056.
Cen, P.L., and Yang, R.T., 1986. Analytic solution for adsorber breakthrough curves with bidisperse sorbents (zeolites), American Institute of Chemical Engineering, 32(10), P. 1635. Doi:10.1002/aic.690321007.
Çermikli, E., Şen, F., Altıok, E., Wolska, G., Cyganowski, P., Kabay, N., Bryjak, M., Arda, M., Yüksel, M., 2020. Performances of novel chelating ion exchange resins for boron and arsenic removal from saline geothermal water using adsorption-membrane filtration hybrid process, Desalination, 491. P.114504. Doi:10.1016/j.desal.2020.114504.
Chen, H.Y. and Lo, I.T., 2022. Theoretical and Experimental Adsorption of Silica Gel and Activated Carbon onto Chlorinated Organic Compounds in Water: A Case Study on the Remediation Assessment of a Contaminated Groundwater Site. Applied Sciences, 12(23), P.11955. Doi:10.3390/app122311955.
Chu, K.H., 2010. Fixed bed sorption: setting the record straight on the Bohart-Adams and Thomas models. J. Hazardous Materials, 177 (1–3), pp. 1006–1012. Doi:10.1016/ j. jhazmat.2010.01.019.
Dadebo, D., Atukunda, A., Ibrahim, m.G., Nasr, m., 2023. Integrating chemical coagulation with fixed-bed column adsorption using rice husk-derived biochar for shipboard bilgewater treatment: Scale-up design and cost estimation, Chemical Engineering Journal Advances, P.100520. Doi:10.1016/j.ceja.2023.100520.
Feizi, F., Sarmah, A.K., and Rangsivek, R., 2021. Adsorption of pharmaceuticals in a fixed-bed column using tyre-based activated carbon: Experimental investigations and numerical modeling. Journal of Hazardous Materials, 417, P. 126010. Doi:10.1016/j.jhazmat.2021.126010.
Forbes, S.L., and Underhill, D.W., 1986. Modeling adsorption bed behavior using microcomputer. Air Pollution Control Association, 36(1), P. 61. Doi: 10.1080/00022470.1986.10466047.
Gadooa, Z.A., and Abbas, M.N., 2021. Mathematical Modelling Of Heavy Metals Removal From Petroleum Refinery Wastewater. Journal of Engineering and Sustainable Development (JEASD), 25 (Special_ Issue_2021). Doi:10.31272/jeasd.conf.2.3.3.
Hong, S., Hangxi, L., Ping, A., Lin, H., Xingang, Li, and Shan Cong, 2017. Application of silica gel in removing high concentrations toluene vapor by adsorption and desorption process Journal of the Taiwan Institute of Chemical Engineers, 74, pp. 218-224. Doi:10.1016/j.jtice.2017.02.019
Ibrahim, S.K., 1992, Removal of gaseous pollutants from air by adsorption method, M.Sc. Thesis, University of Baghdad.
Liaw, C.H., Wang, J.S.P., GreenKorn, R.A. and Chao, K.C., 1979. Kinetics of fixed-bed adsorption: a new solution, American Institute of Chemical Engineering, 25(2), P. 376. Doi:10.1002/aic.690250229.
Maghazachi, M.S.K., 1989. Removal of gaseous pollutants from air by adsorption method, M.Sc. Thesis, University of Baghdad.
Mohamed, E.F., El-Mekawy, A., Ahmed, S.A.S. and Fathy, N.A., 2023. High Adsorption Capacity of Ammonia Gas Pollutant Using Adsorbents of Carbon Composites. Arabian Journal for Science and Engineering, pp. 1-11. Doi:10.1007/s13369-023-07987-3.
Mustafa Y.A., 1992. Removal of pollutants from water by adsorption, M.Sc. thesis, University of Baghdad.
Mustafa, Y.A., and Ebrahim, S.E., 2010. Utilization of Thomas model to predict the breakthrough curves for adsorption and ion exchange, Journal of Engineering, 16(4), pp. 6206 -6223.
Omitola, O.B., Abonyi, M.N., Akpomie, K.G., and Dawodu, F.A., 2022. Adams-Bohart, Yoon-Nelson, and Thomas modeling of the fix-bed continuous column adsorption of amoxicillin onto silver nanoparticle-maize leaf composite. Applied Water Science. 12(5), P. 94. Doi:10.1007/s13201-022-01624-4.
Patel, H., 2019. Fixed-bed column adsorption study: a comprehensive review, Applied Water Science, 9(3). Doi:10.1007/s13201-019-0927-7.
Perry, R. H., and C.H. Chilton, C. H.,1973. Chemical Engineering Handbook, 5th ed., McGraw-Hill.
Qian, W., Song, Q., Ding, H. and Xie, W., 2019. Computational simulations of the mass transfer zone in GS adsorption column packed with Fe3+ type ion exchanger. Chemosphere, 215, pp. 507-514. Doi: 10.1016/j.chemosphere.2018.10.054.
Salman, M.S., Abood, W.M. and Ali, D., 2014. Batch and Fixed-Bed Modeling of Adsorption Reactive Remazol Yellow Dye onto Granular Activated Carbon. Journal of Engineering, 20(8), pp. 156-176. Doi:10.31026/j.eng.2014.08.10
Tan, H.S., 1984. Programs for fixed-bed sorption. Chemical engineering (New York, NY), 91(26), pp. 57-61.
Thomas, H.C., 1944. Heterogeneous ion exchange in a flowing system, Journal of the American Chemical Society, 66, pp. 1664-1666. Doi:10.1021/ja01238a017.
Yao, C., Chen, T., 2017. A film-diffusion-based adsorption kinetic equation and its application. Chemical Engineering Research and Design, pp. 87-92. Doi:10.1016/j.cherd.2017.01.004.
Vilvanathan, S. and Shanthakumar, S., 2017. Column adsorption studies on nickel and cobalt removal from aqueous solution using native and biochar form of Tectona grandis. Environmental Progress & Sustainable Energy, 36(4), pp. 1030–1038. Doi:10.1002/ep.12567.
Zhao, X., Feng, T., Wang, P. and Liao, Z., 2021. Study on the effect of soft and hard coal pore structure on gas adsorption characteristics. Advances in Civil Engineering, 2021, pp. 1-10. Doi:10.1155/2021/1425227.