Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Fast estimation of reaction rates in spherical and non-spherical porous catalysts

Journal Article · · Chemical Engineering Journal
Here we present a methodology for modeling multi-step reaction rates in porous catalyst particles for use in CFD-DEM and two fluid models. Single-step effectiveness factors based on a Thiele modulus, while useful, cannot accurately capture the cascading reaction systems common in high temperature vapor-phase chemical reactors like fluidized catalytic cracking units and catalytic biomass fast pyrolysis systems. Instead, multi-step effectiveness vectors derived from steady-state solutions to the governing reaction-diffusion equations are needed. Solutions for various catalyst shapes are presented, including spheres, cylinders, and prisms. Computational challenges inherent in repeated evaluation of reaction rates with diffusion limitations are discussed, and an efficient implementation based on pre-computed lookup tables is proposed and demonstrated on a simulation of a fluidized bed reactor. Open-source code is provided for the compilation of reaction rate tables for use in ODE, DEM, and two-fluid models.
Research Organization:
National Renewable Energy Laboratory (NREL), Golden, CO (United States)
Sponsoring Organization:
USDOE; USDOE Office of Energy Efficiency and Renewable Energy (EERE), Office of Sustainable Transportation. Bioenergy Technologies Office (BETO)
Grant/Contract Number:
AC36-08GO28308
OSTI ID:
1903769
Alternate ID(s):
OSTI ID: 1961493
Report Number(s):
NREL/JA-2800-83458; MainId:84231; UUID:e59b2251-4b08-4c7d-b4f7-886bba924490; MainAdminID:68224
Journal Information:
Chemical Engineering Journal, Journal Name: Chemical Engineering Journal Journal Issue: Part 1 Vol. 454; ISSN 1385-8947
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (35)

Kinetic modeling of catalytic conversion of methylcyclohexane over USY zeolites: Adsorption and reaction phenomena journal June 2009
A computational study of the effects of multiphase dynamics in catalytic upgrading of biomass pyrolysis vapor journal May 2018
Effectiveness factors for general reaction rate forms journal March 1965
On shape factors for irregular particles—I journal January 1957
Diffusion and chemical reaction in catalysis and absorption journal November 1967
Creeping flow mass transfer to a single active sphere in a random spherical inactive particle cloud at high schmidt numbers journal March 1974
Intraparticle diffusion effects in complex systems of first order reactions I. The effects in single particles journal December 1962
Generalization of the effectiveness factor for any shape of a catalyst pellet journal January 1996
Mass transfer within the gas-phase of porous media journal March 2000
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 journal August 2020
Beyond the effectiveness factor: Multi-step reactions with intraparticle diffusion limitations journal January 2020
Direct numerical simulation of a non-isothermal non-adiabatic packed bed reactor journal April 2020
Characterization of mass transfer in a shallow fluidized bed for adsorption processes: Modeling and supporting experiments journal May 2020
CFD–DEM simulation of gas–solid reacting flows in fluid catalytic cracking (FCC) process journal January 2010
Fluid-particle drag force measurements from particle-resolved CFD simulations of flow past random arrays of ellipsoidal particles journal May 2021
Kinetic study of catalytic cracking of heavy oil over an in-situ crystallized FCC catalyst journal February 2015
Thermodynamic optimization of fluidized catalytic cracking (FCC) units journal February 2011
The role of effectiveness factor on the modeling of methanol steam reforming over CuO/ZnO/Al2O3 catalyst in a multi-tubular reactor journal February 2022
Drag law for monodisperse gas–solid systems using particle-resolved direct numerical simulation of flow past fixed assemblies of spheres journal November 2011
Derivation of drag and lift force and torque coefficients for non-spherical particles in flows journal March 2012
Drag, lift and torque correlations for non-spherical particles from Stokes limit to high Reynolds numbers journal September 2018
High order conservative finite difference scheme for variable density low Mach number turbulent flows journal July 2008
An Euler–Lagrange strategy for simulating particle-laden flows journal April 2013
Numerical analysis of the dynamics of two- and three-dimensional fluidized bed reactors using an Euler–Lagrange approach journal April 2012
Biomass pyrolysis in fully-developed turbulent riser flow journal September 2019
Numerical study of collisional particle dynamics in cluster-induced turbulence journal April 2014
Water droplet condensation and evaporation in turbulent channel flow journal May 2014
Coupling Euler–Euler and Microkinetic Modeling for the Simulation of Fluidized Bed Reactors: an Application to the Oxidative Coupling of Methane journal February 2021
A Thiele Modulus Approach for Nonequilibrium Adsorption Processes and Its Application to CO2 Capture journal January 2020
Coupling CFD–DEM and microkinetic modeling of surface chemistry for the simulation of catalytic fluidized systems journal January 2018
Adaptive chemistry lookup tables for combustion simulations using optimal B-spline interpolants journal February 2019
Efficient Expressions for Effectiveness Factor for a Finite Cylinder journal May 2004
A discrete numerical model for granular assemblies journal March 1979
A model for the kinetics of high-temperature reactions between polydisperse volcanic ash and SO2 gas journal August 2021
Flux Corrected Finite Volume Scheme for Preserving Scalar Boundedness in Reacting Large-Eddy Simulations journal December 2006

Similar Records

Methods—A Potential–Dependent Thiele Modulus to Quantify the Effectiveness of Porous Electrocatalysts
Journal Article · Tue Nov 30 23:00:00 EST 2021 · Journal of the Electrochemical Society · OSTI ID:1983007

Detailed biomass fast pyrolysis kinetics integrated to computational fluid dynamic (CFD) and discrete element modeling framework: Predicting product yields at the bench-scale
Journal Article · Thu Apr 14 20:00:00 EDT 2022 · Chemical Engineering Journal · OSTI ID:1867766

Simulations of biomass pyrolysis using glued-sphere CFD-DEM with 3-D intra-particle models
Journal Article · Tue Mar 30 20:00:00 EDT 2021 · Chemical Engineering Journal · OSTI ID:1842505