Slow invariant manifolds and its approximation in a multi-route reaction mechanism: A case study of iodized H2/O mechanism

被引:21
作者
Sultan, Faisal [1 ]
Khan, Waqar Azeem [2 ,3 ]
Ali, Mehboob [1 ]
Shahzad, Muhammad [1 ]
Khan, Faisal [1 ]
Waqas, Muhammad [4 ]
机构
[1] Hazara Univ, Dept Math & Stat, Mansehra 21300, Pakistan
[2] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
[3] Mohi Ud Din Islamic Univ, Dept Math, Nerian Sharif 12010, Azad Jammu & Ka, Pakistan
[4] Natl Univ Technol, NUTECH Sch Appl Sci & Humanities, Islamabad 44000, Pakistan
关键词
Model reduction techniques; Slow fast reactions; Reaction routes; Refinement scheme; ASSESSMENTS;
D O I
10.1016/j.molliq.2019.111048
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
To reduce the complexity of the reaction mechanism, we need to split down the complex mechanism in different available reaction routes by using Horiuti rule. However, the model reduction and refinement approaches for different reaction routes are highly dependent upon the slow invariant manifold approximations. The main objectives of the current article are to find the solution curves through the method of construction of invariant manifold (Spectral Quasi Equilibrium Manifold) taking single and multi-route reaction mechanisms. Further, Method of Invariant Grid (MIG) is applied to refine the approximated solution curve. A comparison between approximated and refined solution curves of different reaction routes for idealized H-2/O six-step reversible system is also reported graphically. The results are obtained through MATLAB. (C) 2019 Elsevier B.V. All rights reserved.
引用
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页数:8
相关论文
共 21 条
[1]  
[Anonymous], 1970, WEITERE STUDIEN WARM
[2]  
ARIS R, 1968, ARCH RATION MECH AN, V27, P356
[3]  
Aris R., 1965, Arch. Ration. Mech. Anal, V19, P81, DOI DOI 10.1007/BF00282276
[4]  
Constales D., 2016, Advanced Data Analysis and Modelling in Chemical Engineering
[5]   The Michaelis-Menten-Stueckelberg Theorem [J].
Gorban, Alexander N. ;
Shahzad, Muhammad .
ENTROPY, 2011, 13 (05) :966-1019
[6]  
Hinshelwood C.N., 1940, KINETICS CHEM CHANGE
[7]   The global relaxation redistribution method for reduction of combustion kinetics [J].
Kooshkbaghi, Mahdi ;
Frouzakis, Christos E. ;
Chiavazzo, Eliodoro ;
Boulouchos, Konstantinos ;
Karlin, Iliya V. .
JOURNAL OF CHEMICAL PHYSICS, 2014, 141 (04)
[8]   Spectral Quasi-Equilibrium Manifold for Chemical Kinetics [J].
Kooshkbaghi, Mandi ;
Frouzakis, Christos E. ;
Boulouchos, Konstantinos ;
Karlin, Iliya V. .
JOURNAL OF PHYSICAL CHEMISTRY A, 2016, 120 (20) :3406-3413
[9]   SIMPLIFYING CHEMICAL-KINETICS - INTRINSIC LOW-DIMENSIONAL MANIFOLDS IN COMPOSITION SPACE [J].
MAAS, U ;
POPE, SB .
COMBUSTION AND FLAME, 1992, 88 (3-4) :239-264
[10]  
Maxwell JC., 1867, Philosophical Transactions of the Royal Society of London, V157, P49, DOI 10.1098/rstl.1867.0004