ON THE DYNAMICS OF PERIODICALLY FORCED CHEMICAL REACTORS

被引:36
作者
Kevrekidis, I. G. [1 ,2 ]
Schmidt, L. D. [1 ]
Aris, R. [1 ]
机构
[1] Univ Minnesota, Dept Chem Engn & Mat Sci, Minneapolis, MN 55455 USA
[2] Univ Minnesota, Grad Sch, Minneapolis, MN 55455 USA
关键词
D O I
10.1080/00986448408911136
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
A method for studying the dynamics of periodically forced chemical reactors is presented along with the appropriate numerical techniques for its implementation. The method is capable of routinely treating many characteristics of forced oscillatory systems such as subharmonic and related bifurcations, bifurcations to invariant tori and frequency locking. It involves direct solution for the fixed points of the stroboscopic map. This procedure is particularly suitable for detecting certain routes to deterministic chaos such as the Feigenbaum period doubling cascade. Some illustrative examples from a homogeneous catalytic reactor model are included.
引用
收藏
页码:323 / 330
页数:8
相关论文
共 21 条
[1]   HARMONIC BEHAVIOR OF THE RATE OF CATALYTIC-OXIDATION OF CO UNDER CYCLING CONDITIONS [J].
ABDULKAREEM, HK ;
JAIN, AK ;
SILVESTON, PL ;
HUDGINS, RR .
CHEMICAL ENGINEERING SCIENCE, 1980, 35 (1-2) :273-282
[2]   FORCED CYCLING OF THE CATALYTIC-OXIDATION OF CO OVER A V2O5 CATALYST .1. CONCENTRATION CYCLING [J].
ABDULKAREEM, HK ;
SILVESTON, PL ;
HUDGINS, RR .
CHEMICAL ENGINEERING SCIENCE, 1980, 35 (10) :2077-2084
[3]  
[Anonymous], 1977, APPL BIFURCATION THE
[4]  
[Anonymous], 1980, ELEMENTARY STABILITY, V61, P1, DOI [10.1007/978-1-4684-7197-7, 10.1007/978-1-4684-9336-8]
[5]  
Bailey J.E., 1973, CHEM ENG COMMUN, V1, P111
[6]   MODELING OF FORCED PERIODIC OSCILLATIONS OF CARBON-MONOXIDE OXIDATION OVER PLATINUM CATALYST [J].
CUTLIP, MB ;
HAWKINS, CJ ;
MUKESH, D ;
MORTON, W ;
KENNEY, CN .
CHEMICAL ENGINEERING COMMUNICATIONS, 1983, 22 (5-6) :329-344
[7]   CONCENTRATION FORCING OF CATALYTIC SURFACE RATE PROCESSES .1. ISOTHERMAL CARBON-MONOXIDE OXIDATION OVER SUPPORTED PLATINUM [J].
CUTLIP, MB .
AICHE JOURNAL, 1979, 25 (03) :502-508
[8]  
DOEDEL E, 1982, CONG NUMERANTIUM, V34
[9]  
GUCKENHEIMER J, 1983, NONLINEAR OSCILLARIO
[10]   INFLUENCE OF OSCILLATING EXTERNAL-PRESSURE ON GAS-PHASE REACTIONS IN POROUS CATALYSTS [J].
HAMER, JW ;
CORMACK, DE .
CHEMICAL ENGINEERING SCIENCE, 1978, 33 (07) :935-944