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Gąszczak A, Bartelmus G, Rotkegel A. Modeling of the volatile organic compounds biodegradation process in the trickle‐bed bioreactor—Analysis of the model parametric sensitivity. AIChE J 2021. [DOI: 10.1002/aic.17180] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
Affiliation(s)
- Agnieszka Gąszczak
- Institute of Chemical Engineering Polish Academy of Sciences Gliwice Poland
| | - Grażyna Bartelmus
- Institute of Chemical Engineering Polish Academy of Sciences Gliwice Poland
| | - Adam Rotkegel
- Institute of Chemical Engineering Polish Academy of Sciences Gliwice Poland
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Analyzing the impact of implementing different approaches of the approximation of the catalyst effectiveness factor on the prediction of the performance of trickle bed reactors. Catal Today 2020. [DOI: 10.1016/j.cattod.2019.07.033] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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Abstract
A novel approximate solution for catalyst effectiveness factors is presented. It is based on carefully selected approximate reaction rate profiles, instead of typical assumption of composition profiles inside the catalyst. This formulation allows analytical solution of the approximate model, leading to a very simple iterative solution for effectiveness factor for general nonlinear reaction stoichiometry and arbitrary catalyst particle shape. The same model can be used with all practical Thiele modulus values, including multicomponent systems with inert compounds. Furthermore, the correct formulation of the underlying physical model equation is discussed. It is shown that an incorrect but often-used model formulation where convective mass transfer has been neglected may lead to much higher errors than the present approximation. Even with a correctly formulated physical model, rigorous discretization of the catalyst particle volume may have unexpectedly high numerical errors, even exceeding those with the present approximate solution. The proposed approximate solution was tested with a number of examples. The first was an equimolar reaction with first order kinetics, for which analytical solutions are available for the standard catalyst particle geometries (slab, long cylinder, and sphere). Then, the method was tested with a second order reaction in three cases: 1) with one pure reactant, 2) with inert present, and 3) with two reactants and non-stoichiometric surface concentrations. Finally, the method was tested with an industrially relevant catalytic toluene hydrogenation including Maxwell-Stefan formulation for the diffusion fluxes. In all the tested systems, the results were practically identical when compared to the analytical solutions or rigorous finite volume solution of the same problem.
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Samimi A, Salehirad A, Vatankhah MJ, Mohebbi-Kalhori D. Characteristic mechanisms controlling the reaction rate for powdered and industrial scale formed Cu/Zn/Mg/Al water gas shift nanocatalysts. REACTION KINETICS MECHANISMS AND CATALYSIS 2017. [DOI: 10.1007/s11144-016-1122-6] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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Transient effectiveness factors in the dynamic analysis of heterogeneous reactors with porous catalyst particles. Chem Eng Sci 2015. [DOI: 10.1016/j.ces.2015.06.041] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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Valdés-Parada FJ, Álvarez-Ramírez J, Marroquín de la Rosa JO, Ochoa-Tapia JA. An Improved Short-Cut Method for Effectiveness Factor Estimation. Ind Eng Chem Res 2006. [DOI: 10.1021/ie050829s] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Francisco J. Valdés-Parada
- Departamento de Ingeniería de Procesos e Hidráulica, División de Ciencias Básicas e Ingeniería, Universidad Autónoma Metropolitana-Iztapalapa, Apartado Postal 55-534, México D.F., 09340 México, and Instituto Mexicano del Petróleo, Eje central Lázaro Cárdenas 152, México D.F., 07730 México
| | - José Álvarez-Ramírez
- Departamento de Ingeniería de Procesos e Hidráulica, División de Ciencias Básicas e Ingeniería, Universidad Autónoma Metropolitana-Iztapalapa, Apartado Postal 55-534, México D.F., 09340 México, and Instituto Mexicano del Petróleo, Eje central Lázaro Cárdenas 152, México D.F., 07730 México
| | - J. Obet Marroquín de la Rosa
- Departamento de Ingeniería de Procesos e Hidráulica, División de Ciencias Básicas e Ingeniería, Universidad Autónoma Metropolitana-Iztapalapa, Apartado Postal 55-534, México D.F., 09340 México, and Instituto Mexicano del Petróleo, Eje central Lázaro Cárdenas 152, México D.F., 07730 México
| | - J. Alberto Ochoa-Tapia
- Departamento de Ingeniería de Procesos e Hidráulica, División de Ciencias Básicas e Ingeniería, Universidad Autónoma Metropolitana-Iztapalapa, Apartado Postal 55-534, México D.F., 09340 México, and Instituto Mexicano del Petróleo, Eje central Lázaro Cárdenas 152, México D.F., 07730 México
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Ochoa-Tapia JA, Valdés-Parada FJ, Álvarez-Ramírez JDJ. Short-Cut Method for the Estimation of Isothermal Effectiveness Factors. Ind Eng Chem Res 2005. [DOI: 10.1021/ie040190c] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- J. Alberto Ochoa-Tapia
- División de Ciencias Básicas e Ingeniería, Universidad Autónoma Metropolitana-Iztapalapa, Apartado Postal 55−534, Iztapalapa, D.F., P.C. 09340 Mexico
| | - Francisco J. Valdés-Parada
- División de Ciencias Básicas e Ingeniería, Universidad Autónoma Metropolitana-Iztapalapa, Apartado Postal 55−534, Iztapalapa, D.F., P.C. 09340 Mexico
| | - José de J. Álvarez-Ramírez
- División de Ciencias Básicas e Ingeniería, Universidad Autónoma Metropolitana-Iztapalapa, Apartado Postal 55−534, Iztapalapa, D.F., P.C. 09340 Mexico
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Approximate model for diffusion and reaction in a porous pellet and an effectiveness factor. Chem Eng Sci 2004. [DOI: 10.1016/j.ces.2003.08.025] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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Burghardt A, Berezowski M. Analysis of the bifurcation of oscillatory solutions in a porous catalytic pellet: Influence of the reaction order. Chem Eng Sci 1996. [DOI: 10.1016/0009-2509(95)00391-6] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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