TY - JOUR
T1 - Micromixing effects on autocatalytic reactions in a stirred tank
T2 - The random replacement IEM model
AU - Lee, D. J.
AU - Chang, P. C.
AU - Mou, C. Y.
PY - 1997/3/6
Y1 - 1997/3/6
N2 - The random replacement interaction-by-exchange-with-the-mean (IEM) model, which was proposed previously as a numerically more preferable IEM scheme, had been employed for investigating the micromixing effects on the steady-state multiplicity and the relative stability of the oscillatory and stationary state of the Gray-Scott model (Gray, P.; Scott, S. K. Chem. Eng. Sci. 1983, 38, 29). In the bistable region, incomplete micromixing tends to largely reduce the attraction basin for the thermodynamic branch, while in the region where the stable limit cycle exists, it tends to weaken the relative stability of the oscillatory states. Owing to the random replacement nature of the present micromixing model, a stochastic response behavior is observed for the resulting limit cycle attractor and the attraction basin boundary on the parameter space.
AB - The random replacement interaction-by-exchange-with-the-mean (IEM) model, which was proposed previously as a numerically more preferable IEM scheme, had been employed for investigating the micromixing effects on the steady-state multiplicity and the relative stability of the oscillatory and stationary state of the Gray-Scott model (Gray, P.; Scott, S. K. Chem. Eng. Sci. 1983, 38, 29). In the bistable region, incomplete micromixing tends to largely reduce the attraction basin for the thermodynamic branch, while in the region where the stable limit cycle exists, it tends to weaken the relative stability of the oscillatory states. Owing to the random replacement nature of the present micromixing model, a stochastic response behavior is observed for the resulting limit cycle attractor and the attraction basin boundary on the parameter space.
UR - http://www.scopus.com/inward/record.url?scp=0000192821&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0000192821&partnerID=8YFLogxK
U2 - 10.1021/jp962351z
DO - 10.1021/jp962351z
M3 - Article
AN - SCOPUS:0000192821
SN - 1089-5639
VL - 101
SP - 1854
EP - 1858
JO - Journal of Physical Chemistry A
JF - Journal of Physical Chemistry A
IS - 10
ER -