The direct calculation of periodic states of the reverse flow reactor .2. Multiplicity and instability

被引:36
作者
Salinger, AG [1 ]
Eigenberger, G [1 ]
机构
[1] UNIV STUTTGART,INST CHEM VERFAHRENSTECH,D-70199 STUTTGART,GERMANY
基金
美国国家科学基金会;
关键词
reverse flow; periodic bifurcation; floquet; catalytic combustion;
D O I
10.1016/0009-2509(96)00327-2
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
The strength of the direct calculation methodology for investigating the periodic solutions of the reverse flow reactor is demonstrated by studying two complex manifestations of the systems nonlinearity: multiplicity and instability. First we analyze the propane-propene fuel mixtures to determine all possible feed ranges where two stable, ignited solutions can co-exist. Calculations when catalytic sections of the reactor are replaced with inert sections show how this design modification can force the reactor to the desired stable solution. At other parameter values, we show how the Floquet stability analysis can be used in conjunction with direct calculation to detect bifurcations of symmetric solutions to unsymmetric and periodic solutions. Copyright (C) 1996 Elsevier Science Ltd
引用
收藏
页码:4915 / 4922
页数:8
相关论文
共 12 条
[1]  
[Anonymous], 1988, EQUILIBRIUM CHAOS PR
[2]   MULTIPLICITY FEATURES OF REACTING SYSTEMS - DEPENDENCE OF THE STEADY-STATES OF A CSTR ON THE RESIDENCE TIME [J].
BALAKOTAIAH, V ;
LUSS, D .
CHEMICAL ENGINEERING SCIENCE, 1983, 38 (10) :1709-1721
[3]   PERIODIC STATES OF ADSORPTION CYCLES .1. DIRECT DETERMINATION AND STABILITY [J].
CROFT, DT ;
LEVAN, MD .
CHEMICAL ENGINEERING SCIENCE, 1994, 49 (11) :1821-1829
[4]   PERIODIC STATES OF ADSORPTION CYCLES .2. SOLUTION SPACES AND MULTIPLICITY [J].
CROFT, DT ;
LEVAN, MD .
CHEMICAL ENGINEERING SCIENCE, 1994, 49 (11) :1831-1841
[5]  
Iooss G., 1980, Elementary Stability Bifurcation Theory
[6]   THE STIRRED TANK FORCED [J].
KEVREKIDIS, IG ;
ARIS, R ;
SCHMIDT, LD .
CHEMICAL ENGINEERING SCIENCE, 1986, 41 (06) :1549-1560
[7]  
KOLIOS G, 1996, UNPUB
[8]  
NIEKEN U, 1993, THESIS U STUTTGART S
[9]  
REHACEK J, 1992, CHEM ENG SCI, V47, P2897
[10]   BUOYANCY-DRIVEN FLOWS OF A RADIATIVELY PARTICIPATING FLUID IN A VERTICAL CYLINDER HEATED FROM BELOW [J].
SALINGER, AG ;
BRANDON, S ;
ARIS, R ;
DERBY, JJ .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1993, 442 (1915) :313-341