Scaling and sensitivity analysis of a reverse flow reactor

Scaling analysis is presented as a systematic procedure to analyze and understand the operation of a complex process such as the autothermal reverse flow reactor (RFR). The reactor is complex from an operational point of view due to its hybrid and periodic nature. An adequate model of the RFR involves highly nonlinear equations. Using simple mathematical operations, these model equations are non-dimensionalized, scaled to order 1 and used to determine the contributions of the controlling physical phenomena taking place in it. The scale factors lead to several analytical expressions useful for suggesting efficient operational strategies for the RFR. Based on a specified error tolerance, we also illustrate how model approximation can be carried out and justified. The sensitivity of important operational parameters that determine sustainability (i.e., maximum temperature and overall conversion) to variables such as reactor length, switching time and mass transfer rate are also analyzed for the pseudo-steady-state condition. The results obtained prove that prudent ways of operating an RFR can be determined through scaling and sensitivity analysis.

[1]  W. Krantz,et al.  Sensitivity analysis of the rapid decomposition of methane in an aerosol flow reactor , 2004 .

[2]  Andrei G. Fedorov,et al.  Hydrogen generation in a reverse‐flow microreactor: 2. Simulation and analysis , 2005 .

[3]  S. Lakshminarayanan,et al.  Heat Removal from Reverse Flow Reactors Used in Methane Combustion , 2008 .

[4]  W. Krantz,et al.  Predictive dynamic model of single‐stage ultra‐rapid pressure swing adsorption , 2004 .

[5]  R. E. Hayes,et al.  Modelling a reverse flow reactor for the catalytic combustion of fugitive methane emissions , 2004, Comput. Chem. Eng..

[6]  Antonello Barresi,et al.  Transient behaviour and start-up of periodic flow reversal reactors for catalytic decontamination of waste gases , 2002 .

[7]  D. Frank-Kamenetskii,et al.  Diffusion and heat exchange in chemical kinetics , 1955 .

[8]  Said S.E.H. Elnashaie,et al.  The vital role of mathematical modelling in chemical engineering education , 1993 .

[9]  D. Vortmeyer,et al.  Moving reaction zones in fixed bed reactors under the influence of various parameters , 1972 .

[10]  O. V. Kiselev,et al.  Propagation of the combustion front of a gas mixture in a granular bed of catalyst , 1980 .

[11]  Andrei G. Fedorov,et al.  Hydrogen generation in a reverse‐flow microreactor: 1. Model formulation and scaling , 2005 .

[12]  C. F. Curtiss,et al.  The theory of flames and detonations , 1953 .

[13]  Christo G. Sapundzhiev,et al.  Influence of geometric and thermophysical properties of reaction layer on sulphur dioxide oxidation in transient conditions , 1990 .

[14]  Y. C. Chen,et al.  Wrong‐way behavior of packed‐bed reactors: II. Impact of thermal dispersion , 1988 .

[15]  Robert E. Hayes,et al.  Repetitive model predictive control of a reverse flow reactor , 2007 .

[16]  Davide Fissore,et al.  On the Influence of the Catalyst Physical Properties on the Stability of Forced Unsteady-State After-Burners , 2003 .

[17]  G. Bunimovich,et al.  Reverse-Flow Operation in Fixed Bed Catalytic Reactors , 1996 .

[18]  Ulrich Nieken,et al.  Limiting cases and approximate solutions for fixed-bed reactors with periodic flow reversal , 1995 .

[19]  D. Vortmeyer,et al.  Equivalence of one- and two-phase models for heat transfer processes in packed beds: one dimensional theory , 1974 .

[20]  Hugo S. Caram,et al.  The design of reverse flow reactors for catalytic combustion systems , 1995 .

[21]  D. Cresswell,et al.  Dynamic behaviour and stability of adiabatic fixed bed reactors , 1974 .

[22]  Vladimir Hlavacek,et al.  Reaction front propagation in nonadiabatic exothermic reaction flow systems , 1987 .

[23]  William B. Krantz.  Scaling Analysis in Modeling Transport and Reaction Processes , 2007 .