Stationary spatially periodic and aperiodic solutions in membrane reactors

被引：3

作者：

Zhang, Fan ^{[1
]}

Mangold, Michael ^{[1
]}

Kienle, Achim ^{[1
]}

机构：

[1] Max Planck Inst Dynam Komplexer Tech Syst, D-39106 Magdeburg, Germany

来源：

CHEMICAL ENGINEERING SCIENCE | 2006年 / 61卷 / 21期

关键词：

membranes; chemical reactors; nonlinear dynamics; stationary pattern; bifurcation; selective oxidation;

D O I：

10.1016/j.ces.2006.07.044

中图分类号：

TQ [化学工业];

学科分类号：

0817 ;

摘要：

The formation of stationary spatially patterns is analysed for a detailed reaction mechanism of the oxidative dehydrogenation of ethane. In the first step, a simple steady-state model of an ideal plug flow membrane reactor is investigated by numerical bifurcation analysis. The model shows a complex nonlinear behaviour including period doubling bifurcations and aperiodic spatial patterns. In the next step, the influence of axial heat dispersion is studied. Finally, a more detailed model of a fixed bed membrane reactor is considered. It is found that pattern formation is possible under operation conditions realisable in a laboratory reactor. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：7161 / 7170

页数：10

共 50 条

[21] Stability of spatially periodic solutions in coupled map lattices
Dubcová, M
Klíc, A
Pokorny, P
Turzík, D
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2003, 13 (02): : 343 - 356
[22] Spatially almost periodic solutions for active scalar equations
Li, Chengrui
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (04) : 1642 - 1652
[23] Modulation equations for spatially periodic systems: Derivation and solutions
Schielen, R
Doelman, A
SIAM JOURNAL ON APPLIED MATHEMATICS, 1998, 58 (06) : 1901 - 1930
[24] Spatially periodic solutions in relativistic isentropic gas dynamics
Frid, H
Perepelitsa, M
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2004, 250 (02) : 335 - 370
[25] Spatially Quasi-Periodic Solutions of the Euler Equation
Sun, Xu
Topalov, Peter
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2023, 25 (03)
[26] Stationary periodic solutions and asymptotic series solutions to nonlinear evolution equations
Liu, S
Fu, ZT
Liu, SK
Wang, ZG
CHINESE JOURNAL OF PHYSICS, 2004, 42 (02) : 127 - 134
[27] PERIODIC AND STATIONARY WAVE SOLUTIONS OF COUPLED NLS EQUATIONS
Grecu, D.
Visinescu, Anca
Fedele, R.
De Nicola, S.
ROMANIAN JOURNAL OF PHYSICS, 2010, 55 (5-6): : 585 - 600
[28] ON PERIODIC SOLUTIONS OF HAMILTONIAN SYSTEMS NEAR A STATIONARY POINT
BERGER, MS
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 16 (01): : 232 - &
[29] SPATIALLY PERIODIC MEMBRANE MEMBRANE CONTACT THROUGH SURFACE-WAVE GROWTH
HEWISON, LA
COAKLEY, WT
TILLEY, D
BIOCHEMICAL SOCIETY TRANSACTIONS, 1986, 14 (02) : 292 - 292
[30] Abundant periodic and aperiodic solutions of a discontinuous three-term recurrence relation
Chang, Yen Chih
Cheng, Sui Sun
Yeh, Wei Chang
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2019, 25 (08) : 1082 - 1106

← 1 2 3 4 5 →