Modeling of Hollow Cylindrical Catalytic Pellets – Analytical Solutions for First Order Reaction
Mathematical modeling of catalytic reaction was performed for hollow cylindrical pellets with infinitely long or finite length. For isothermal irreversible first order reaction, intra-particle concentration could be predicted from analytical solutions obtained by solving reaction-diffusion equations...
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Published in | Journal of chemical engineering of Japan Vol. 56; no. 1 |
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Format | Journal Article |
Language | English |
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Tokyo
Taylor & Francis Group
31.12.2023
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Abstract | Mathematical modeling of catalytic reaction was performed for hollow cylindrical pellets with infinitely long or finite length. For isothermal irreversible first order reaction, intra-particle concentration could be predicted from analytical solutions obtained by solving reaction-diffusion equations. Both intra-particle diffusional and surface film resistance were considered in the modeling equations. Factors affecting distribution of reactant concentration inside hollow cylindrical pellet surrounded in infinitely large medium were studied by adjusting thickness of hollow core (x’), aspect ratio (γ0), Thiele modulus (Φ), and Biot number (Bi). Transient concentration inside hollow cylindrical pellet with infinitely long and finite length was also derived by solving unsteady-state partial differential equation using separation of variables and eigenfunction expansion method, respectively. Analytical solutions could be also derived for effectiveness factor (η), which was increased with increasing x’ and decreasing γ0 due to decrease of active volume of the pellet. For hollow cylindrical pellet with finite length, η was derived as two different mathematical expressions, which are advantageous to evaluate eigenvalues for various x’ or γ0. For series reaction (A→B→C), secondary effectiveness factor (ηB→C) was derived for hollow cylindrical pellet for the first time to apply pseudo steady-state approximation for batch and fixed bed reactors. The performance of the catalytic reactors was predicted for consecutive reaction by adjusting x’ and Φ. Maximum concentration of intermittent product in batch reactor could be increased using hollow cylindrical pellets, compared to conventional cylindrical pellets. For simple reaction (A→B), transient concentration of reactant in exit stream was also predicted for fixed bed containing hollow cylindrical pellet with finite length. Reaction conversion at steady state was enhanced using the hollow pellets with smaller γ0, while pressure drop in bed was reduced, compared to conventional cylindrical pellets. |
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AbstractList | Mathematical modeling of catalytic reaction was performed for hollow cylindrical pellets with infinitely long or finite length. For isothermal irreversible first order reaction, intra-particle concentration could be predicted from analytical solutions obtained by solving reaction-diffusion equations. Both intra-particle diffusional and surface film resistance were considered in the modeling equations. Factors affecting distribution of reactant concentration inside hollow cylindrical pellet surrounded in infinitely large medium were studied by adjusting thickness of hollow core (x’), aspect ratio (γ0), Thiele modulus (Φ), and Biot number (Bi). Transient concentration inside hollow cylindrical pellet with infinitely long and finite length was also derived by solving unsteady-state partial differential equation using separation of variables and eigenfunction expansion method, respectively. Analytical solutions could be also derived for effectiveness factor (η), which was increased with increasing x’ and decreasing γ0 due to decrease of active volume of the pellet. For hollow cylindrical pellet with finite length, η was derived as two different mathematical expressions, which are advantageous to evaluate eigenvalues for various x’ or γ0. For series reaction (A→B→C), secondary effectiveness factor (ηB→C) was derived for hollow cylindrical pellet for the first time to apply pseudo steady-state approximation for batch and fixed bed reactors. The performance of the catalytic reactors was predicted for consecutive reaction by adjusting x’ and Φ. Maximum concentration of intermittent product in batch reactor could be increased using hollow cylindrical pellets, compared to conventional cylindrical pellets. For simple reaction (A→B), transient concentration of reactant in exit stream was also predicted for fixed bed containing hollow cylindrical pellet with finite length. Reaction conversion at steady state was enhanced using the hollow pellets with smaller γ0, while pressure drop in bed was reduced, compared to conventional cylindrical pellets. |
Author | Cho, Young-Sang |
Author_xml | – sequence: 1 givenname: Young-Sang surname: Cho fullname: Cho, Young-Sang organization: Department of Chemical Engineering and Biotechnology, Tech University of Korea, 237 Sangdaehak-ro, Siheung-si, Gyeonggi-do, 15073, Republic of Korea |
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Cites_doi | 10.1063/1.166378 10.1080/00986445.2014.959587 10.1515/pjct-2017-0055 10.1023/A:1008913301145 10.1038/srep15228 10.1021/acscatal.0c00185 10.1252/jcej.37.1099 10.1016/j.compositesa.2022.106949 10.1080/00219592.2023.2205457 10.14356/kona.2013009 10.1252/jcej.22we022 10.1002/adma.201801001 10.1016/j.jece.2022.107348 10.1016/0009-2509(57)85028-3 10.1021/acs.cgd.7b01635 10.1002/9783527611966 10.1252/jcej.1.32 10.1016/0009-2509(67)80071-X 10.1016/0009-2509(94)00168-5 10.1016/j.apmate.2021.11.008 10.1039/D0RE00242A 10.1002/cjce.24776 10.1016/j.matlet.2017.05.134 10.1002/cjce.24700 10.1205/026387604323142658 10.1021/cm3030928 10.1016/0009-2509(77)80196-6 |
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Copyright | 2023 The Author(s). Published with license by Taylor & Francis Group, LLC. This work is licensed under the Creative Commons Attribution – Non-Commercial License http://creativecommons.org/licenses/by-nc/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
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SubjectTerms | Aspect ratio Batch reactor Batch reactors Biot number Effectiveness Effectiveness factor Eigenvalues Eigenvectors Exact solutions Fixed bed Fixed bed reactors Fixed beds Hollow catalytic pellets Mathematical models Partial differential equations Pellets Pressure drop Reaction-diffusion equations Reactors Series reaction Steady state |
Title | Modeling of Hollow Cylindrical Catalytic Pellets – Analytical Solutions for First Order Reaction |
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