TY - JOUR
T1 - Pattern formation in homogeneous and heterogeneous reactor models
AU - Sheintuch, Moshe
AU - Nekhamkina, Olga
N1 - Funding Information:
The work was supported by the Volkswagen-Stiftung Foundation and by the Technion V.P.R. Fund-Promotion of Sponsored Research. MS is a member of the Minerva Center of Nonlinear Dynamics and Complex Systems. ON is partially supported by the Center for Absorption in Science, Ministry of Immigrant Absorption State of Israel. CRE group is supported by DuPont Educational Fund.
PY - 1999/10
Y1 - 1999/10
N2 - This work qualitatively and quantitatively compares spatiotemporal patterns in homogeneous and heterogeneous models of a fixed catalytic bed for reactions with oscillatory kinetics. Pattern selection is based on the oscillatory or bistable nature of the kinetics and on the nature of fronts. The heterogenous model can exhibit local bistability while the homogeneous model does not admit this property: when flow terms are accounted for both models can be approximated by a cell-model suggesting a simple conversion between the parameters of both models. The parameter-conversion approximation (1/Pe,(eff) = 1/Pe + 1/β, where β is the external transport parameter) can predict quite well the dynamics of the heterogenous model with a pseudohomogeneous one when β>> Pe, but it fails when both parameters are comparable. The dynamic behavior is sensitive to the boundary conditions applied. Several qualitative differences between the two models are pointed out.
AB - This work qualitatively and quantitatively compares spatiotemporal patterns in homogeneous and heterogeneous models of a fixed catalytic bed for reactions with oscillatory kinetics. Pattern selection is based on the oscillatory or bistable nature of the kinetics and on the nature of fronts. The heterogenous model can exhibit local bistability while the homogeneous model does not admit this property: when flow terms are accounted for both models can be approximated by a cell-model suggesting a simple conversion between the parameters of both models. The parameter-conversion approximation (1/Pe,(eff) = 1/Pe + 1/β, where β is the external transport parameter) can predict quite well the dynamics of the heterogenous model with a pseudohomogeneous one when β>> Pe, but it fails when both parameters are comparable. The dynamic behavior is sensitive to the boundary conditions applied. Several qualitative differences between the two models are pointed out.
KW - Fixed bed catalytic reactor
KW - Front motion
KW - Heterogeneous and homogeneous models
KW - Oscillatory kinetics
KW - Pattern formation
UR - http://www.scopus.com/inward/record.url?scp=0032729239&partnerID=8YFLogxK
U2 - 10.1016/S0009-2509(99)00036-6
DO - 10.1016/S0009-2509(99)00036-6
M3 - 会议文章
AN - SCOPUS:0032729239
SN - 0009-2509
VL - 54
SP - 4535
EP - 4546
JO - Chemical Engineering Science
JF - Chemical Engineering Science
IS - 20
T2 - Proceedings of the 1998 3rd International Conference on Unsteady State Processes in Catalysis (USPC-3)
Y2 - 28 June 1998 through 3 July 1998
ER -